W         iViVW 


SSskR 


University  of  California. 


TABLES 


TO 


FACILITATE  THE  REDUCTION  OF  PLACES 


OF  THE 


FIXED  STARS 


PREPARED  FOR  THE  USE  OP 


IHE  AMERICAN  EPHEMERIS  AND  NAUTICAL  ALMANAC. 

V^L   «b      »  LO>JJL.\xjCjo> -«;  (iJL<v!AOJi\Ouo 

> 

SECOND   EDITION. 


PUBLISHED  BY  AUTHORITY  OF  THE  SECRETARY  OF  THE  NAVY 


BUREAU  OF   NAVIGATION, 

NAVY    DEPARTMENT. 
1873. 


PREFACE. 


The  following  tables  were  prepared  under  the  direction  of  Prof.  JOSEPH  WINLOCK, 
now  Director  of  Harvard  College  Observatory,  while  Superintendent  of  the  American 
Epliemeris  and  Nautical  Almanac.  They  have  been  used  in  the  preparation  of  the  por- 
tions of  that  work  which  relate  to  the  fixed  stars,  commencing  with  the  volume  for  1865; 
except  that  some  modifications  of  the  mean  places  and  annual  motions  of  the  standard 
stars  have  been  introduced  in  the  present  volume  and  in  the  Ephemeris  for  1870.  These 
changes  are  given  in  Table  XXIX. 

A  few  tables,  not  directly  required  in  the  construction  of  the  Ephemeris,  have  been 
added  to  make  the  series  more  complete. 

The  essential  features  of  these  tables  are  those  of  BESSEL'S  Tabulce  Regimontanae 
and  WOLFBR'S'  Tabuloe  Reductionum;  but  they  differ  from  them  in  form  and  arrangement, 
in  using  the  constants  of  STRTJVE  and  PETERS,  and  in  providing  for  small  terms  in  the 
redaction  of  star-places,  which  are  usually  neglected.  It  has  not  been  thought  necessary, 
however,  to  include  in  Table  XXIV,  which  contains  the  reductions  of  places  of  the 
standard  stars,  any  of  the  stars  of  WOLFERS'  list,  except  a  and  d  Ursse  Minoris;  as  the 
corrections  for  differences  of  mean  place  and  annual  motion  for  the  other  stars  are  easily 
supplied. 

The  computations  have  been  made  by  assistants  in  the  Nautical  Almanac  office,  of 
whom  Mr.  W.  P.  G.  BARTLETT  and  Mr.  G.  W.  HILL  deserve  special  mention.  To  the 
latter  I  am  indebted  for  a  careful  revision  of  the  tables  and  proofs,  and  the  materials  for 
the  introductory  explanations.  He  has  also  prepared  the  articles  on  the  Derivation  and 
Reduction  of  Star  Places,  and  the  places  of  ft1  Scorpii,/5  and  rt  Draconis,  and  611  Cygni, 
which  are  given  in  the  Introduction. 

These  tables  are  published  with  the  hope  that  they  will  afford  aid  to  astronomers  in 
future  work,  while  they  exhibit  the  construction  and  character  of  that  portion  of  the 
American  Epliemeris  to  which  they  relate. 

J.  H.  C.  COFFIN, 
Prof.  Math.  U.  S.  Navy,  Superintendent  of  Nautical  Almanac. 

WASHINGTON,  February,  1869. 


CONTENTS, 


. 

Page. 

Description  and  use  of  the  Tables ;.....         i 

Formulas  used  in  the  construction  of  the  Tables • xv 

On  the  derivation  and  reduction  of  star-places xvi 

On  the  places  and  proper  motions  of  8l  Scorpii,  8  and  r)  Draconis,  and  6 1 J  Cygni xxxv 

GENERAL  TABLES. 

TABLE     I.  Longitudes  of  the  principal  Observatories  from  Washington 3 

II.  Number  of  days  from  Jan.  0  in  common  years,  Jan.  1  in  bissextile  years,  for  each 

calendar  date 4 

III.  Reduction  of  hours  and  minutes  to  decimals  of  a  day  and  year 5 

IV.  Fraction  of  the  year  from  noon  of  Jan.  0  in  common  years,  Jan.  1  in  bissextile  years, 

to  midnight  of  each  day  of  the  year <3 

V.  Annual  precession. — Motion  of  the  Ecliptic 8 

VI.  Arg.  I,  for  aberration  and  solar  nutation. 
Arg.  II,  for  secular  inequality  of  Arg.  I. 
Arg.  Ill,  for  lunar  nutation. 
Mean  obliquity  of  the  ecliptic. 

Time  from  beginning  of  Bessel's  fictitious  year 9 

VII.  Secular  inequality  of  Arg.  I. 
Precession  for  each  10  days. 
Aberration  of  the  sun's  longitude. 

Solar  nutation  of  longitude,  right  ascension  and  the  obliquity  of  the  ecliptic      .     .       12 
VIII.  Lunar  nutation  of  longitude,  right  ascension  and  the  obliquity  of  the  ecliptic     .     .       13 

IX.  Coefficients  and  auxiliaries  for  computing  A.  J5,  and  E 13 

X.  Terms  in  A  and  B,  which  depend  on  ©,  or  AQ  and  BQ,  for  1850 14 

XI.  Secular  variations  of  A  Q  and  B^ ; 15 

XII.  Terms  in  A  and  B,  which  depend  on  &,  or  A ^  and  B^,  for  1850 IB 

XIII.  Secular  variations  of  A  n  and  B^ 33 

oo  oo 

XIV.  Terms  in  E,  which  depends  on  ©,  or  EQ  for  1850,  and  its  secular  variation     .     .       33 
XV.  Terms  in  E,  which  depend  on  &,  or  E,-.  for  1850,  and  its  secular  variation    ...       33 

XVI.  Arg.  IV,  for  terms  depending  on  2  ([ . 

Arg.  V,  for  terms  depending  on  ([  —  T',  with  multiples  of  their  periods    ....  34 

XVII.  Terms  in  A  and  B,  which  depend  on  2  ^  and  d  —  T',  or  A  ~  ,  B  ff  ,  and  A'        .     .  35 

XVIIL  Logarithms  of  C  and  D .  3(5 

XIX.  H  and  the  logarithms  of  h  and  i 50 

XX.  For  finding  the  annual  precession  of  a  star  in  right  ascension  and  declination  54 


SPECIAL  TABLES,  FOB  STANDARD  STABS  OF  THE  AMERICAN  EPHEMEBIS. 

Page. 
TABLE    XXI.  Mean  right  ascensions  and  declinations,  annual  and  secular  variations,  and 

proper  motions  of  198.  stars,  for  1860.0      .......     ......      68 

XXII.  Mean  right  ascensions  and  declinations  of  the  same  stars  for  the  beginning  of 

each  year  from  1865  to  1872   .................      76 

XXIII.  Mean  right  ascensions  and  declinations  of  the  same  stars  for  the  beginning  of 

each  year  from  1873  to  1880  .................      84 

XXIV.  A^a,  A/^j  Aoa»  an<^  ^n^»  or  terms  m  the  reductions  of  right  ascensions  and 

declinations,  which  depend  on  ©  and  &,  for  156  of  the  standard  stars,  from 
1865  to  1880     ......................      92 

XXV.  Terms  for  51  Cephei,  a  Octantis,  and  A  Ursae  Minoria,  to  be  multiplied  by 

248 


XXVI.  Motion  of  ©  +  Q>  and  ©  —  Q,  for  sidereal  days  ...........  248 

XXVII.  Values  of  ©  -f-  &  and  ©  —  £}  for  the  beginning  of  each  year,  and  terms  depend- 

ing on  ©  +  &  and  ©  —  &  for  a  and  A  Ursse  Minoris,  51  Cephei,  and  a  Octantis.  249 

XXVIII.  Terms  depending  on  2  ([  for  a,  d  and  A  UrsaB  Minoris,  and  51  Cephei       ...  251 

"Argument  2  (£"  for  beginning  of  each  year  .....     .     ......  253 

XXIX.  Reduction  of  places  of  stars  in  the  American  Ephemeris,  1865  —  1869,  to  those 

adopted  in  these  tables  ...................  254 

XXX.  AUWERS'  correction  of  the  place  of  Sirius  for  orbital  motion  .......  256 

SUPPLEMENTARY  TABLES  OF  SMALL  TEBMS  IK  JOJTATI01T. 

TABLE  XXXI.  Terms  in  the  reduction  of  right  ascensions,  which  depend  on  2  <[    .....  258 

XXXH.  Terms  in  the  reduction  of  right  ascensions,  which  depend  on  <[  —  F    ....  258 

XXXIII.  Terms  in  the  reduction  of  declinations,  which  depend  on  2  <[  .......  259 

XXXIV.  Terms  in  the  reduction  of  declinations,  which  depend  on  <[  —  I"     .....  259 
XXXV.  Arguments  VI  —  X,  for  small  terms  in  A  and  B  ...........  260 

Inequalities  of  Arg's  VI,  VII,  VHI   ...............  261 

XXXVI.  Small  terms  in  A  and  B    .  ,262 


DESCRIPTION  AND  USE  OF  THE  TABLES. 

These  tables  comprise — 

1.  General  tables,  which  serve  to  form  the  arguments  depending  on  time  and  place,  or 
give  those  quantities,  which  are  functions  of  the  time  and  are  independent  of  the  place 
of  any  particular  star.     They  extend  from  1750  to  1900.     A  table  for  computing  pre- 
cessions in  right  ascension  and  declination,  and  Supplementary  Tables  of  small  terms  in 
nutation  have  been  added. 

2.  Special  Tables  for  the  standard  stars  of  the  American  Ephcmeris  and  Nautical 
Almanac  for  the  years  1865  to  1880,  giving  their  mean  places  and  annual  motions,  and 
the  means  of  reducing  to  their  apparent  places  on  any  day  within  that  period. 

GENERAL  TABLES. 

TABLE  I  contains  the  longitudes  of  the  principal  Observatories  from  Washington,  as 
given  by  Dr.  GOULD  in  the  American  Ephemeris  for  1870.  West  longitudes*  are  con- 
sidered as  positive. 

d  is  the  longitude  in  hours,  minutes,  and  seconds. 
d'  in  decimals  of  a  day. 

d"  in  decimals  of  a  year. 

TABLE  II  gives  for  each  calendar  date  the  number  of  days  from  Jan.  0  in  common 
years,  or  from  Jan.  1  in  bissextile  years. 

TABLE  III  contains  the  equivalents  of  hours  and  minutes  in  decimals  of  a  day  and  a 
year. 

TABLE  IV  gives  for  each  midnight  the  part  of  a  tropical  year  elapsed  from  noon  of 
Jan.  0  in  common  years,  Jan.  1  in  bissextile  years.  For  noon  subtract  Oy.00137. 

Adding  li"  from  Table  VI,  d"  from  Table  I,  and  the  part  of  a  year  from  Table  III, 
corresponding  to  the  hours  and  minutes  after  mean  midnight,  we  have  for  any  given 
time  the  fraction  of  the  year,  r,  elapsed  from  the  beginning  of  the  fictitious  year.  In 
this  table  1  day  =  0^.00273791. 

TABLE  V,  contains  for  each  fifth  year,  STRUVE  and  PETERs't  values  of  the  annual  pre- 
cession of  the  equinoxes,  &c.,  viz : 

Luni-solar  precession,  V>  =  50//.379S  —  0".000216S  (t  —  1800) 
General  precession,  v'  =  50//.2411  +  0".000226S  (t —  1800) 

m  =  46".OG23  +  0//.0002849  (t  —  1800)  =  38.07082  +  03.0000190  (t—  1800) 
n  =  20//.06(J7  —  0".OOOOS63  (t  —  1800  >,  and  its  logarithm 
TT  =  0".4776    —  0".000007    (t  —  1800) 
J/  =  172°  45'  31"  -f-  33''.23  (t  —  1800) 
in  which  t  is  the  number  of  years. 

The  annual  precession  of  a  fixed  star  is — 

In  Right  ascension,    A  a  =  m  -f-  n  sin  a  tan  d 
Declination,  A<J  =  n  cos  a 

Longitude,  AA  =  Gen.  Prec.  +  -  cos  (A  —  M)  tan  ft 

Latitude,  A;?  =  —  r.  sin  (/.  —  J/) 

TABLE  VI  contains  for  Washington  mean  noon  of  Jan.  0  in  common  years,  Jan.  1  in 
bissextile  years,  of  each  year  from  1750  to  1900,  the  following  quantities: 

1.  Arg.  I,  which  is  Arg.  I  of  HAXSEX  and  OLUFSEX'S  Tables  du  Soleil,  augmented 
by  Oa. 01553  for  the  constants  added  in  the  tables  of  inequalities,  reduced  to  the  meridian 
of  Washington,  and  corrected  for  the  inequalities  of  long  period  in  Tables  VI,  VII,  and 
VIII  of  that  work. 

*  Longitudes  should  be  reckoned  west,  or  east,  to  the  meridian  where  the  local  reckoning  of  the  day 
changes.     This  may  be  assumed  as  -f-  7h  or  —  17b  from  Washington. 
t  Dr.  C.  A.  F.  PETERS,  Numcrus  Constans  Nutationis,  pp.  66,  7J,  &c. 

—  _  __ 


11 


2.  Arg.  II,  which  is  Arg.  V  of  HANSEN  and  OLUFSEN'S  tables,  and  is  used  in  finding 
the  secular  inequality  of  Arg.  I  from  Table  VII. 

Arg.  I  -f-  its  inequalities  -f-  d*  +  day  of  year,  (the  clay  of  the  year  including  the  frac- 
tional part  corresponding  to  the  local  mean  time,)  is  the  argument  of  solar  nutation  and 
aberration  in  Tables  VII,  X,  XI,  XVIII,  and  XIX.  In  general  it  will  be  sufficient 
to  add  to  Arg.  I  the  secular  inequality  in  Table  VII  multiplied  by  (t  —  1850).  But 
if  we  wish  to  take  into  account  tiie  periodic  pertubations  of  the  sun,  as  is  done  in  the 
preparation  of  the  American  Ephcmcris,  it  will  be  necessary  to  use  Arg.  I  -|-  its  ine- 
qualities of  HANSEN  and  OLUFS  KIM'S  tables.  The  difference,  however,  cannot  exceed 
Od.011,  and  will  seldom  attain  this  limit. 

3.  Arg.  Ill,  which  is  the  number  of  days  after,  (or  when  negative,  before)  the  time 
when  the  longitude  of  the  moon's  ascending  node  was  0.     It  is  derived  from  PEIRCE'S 
Tables  of  the  Moon.     Its  period,  in  1850,  is  679Sd.39  nearly. 

Arg.  Ill  +  d'  +  day  of  year,  or,  if  it  exceed  the  limit  of  the  table, 

Arg.  Ill  4-  d'  +  day  of  year— 679Sd.39, 

is  the  argument  of  those  terms  of  nutation  which  depend  on  the  longitude  of  the  moon's 
node,  in  Tables  VIII,  XII,  and  XIII. 

4.  The  mean  obliquity  of  the  ecliptic,  as  obtained  from  PETERS.* 

w  =  23°  21'  54".22  —  0//.4645  (t  —  1800)  —  0//.00000i4  (t  —  1SOO)2 

5.  The  mean  time  elapsed  since  the  suirs  mean  longitude  was  280°,  the  beginning  of 
BesseFs  fictitious  year. 

k  is  its  value  in  hours,  minutes,  and  seconds. 

//  in  decimals  of  a  day, 

7i/'  in  decimals  of  a  year. 

It  is  also  the  longitude  of  Washington  from  the  fictitious  meridian  of  Table  XXIV, 
or  the  meridian  on  which  the  mean  sun  was  at  the  beginning  of  the  fictitious  year. 

k  -f-  d  will  be  the  longitude  of  any  place  reckoned  west  from  the  fictitious  meridian. 
The  sidereal  time  at  this  meridian  when  the  fictitious  year  begins  is  alwavs  18h  40m  = 
280°;  and  at  any  other  meridian  18h  40m  — (k  +  d.) 
TABLE  VII  contains  for  each  10  days — 

1.  The  secular  inequality  of  Arg.  I  due  to  the  change  of  eccentricity  and  perigee  of 
the  sun's  orbit,  derived  from  Table  IX  of  HAXSEN  and  OLUFSEN'S  tables.     This  ine- 
quality is  to  be  multiplied  by  (t —  1850),  t  being  the  entire  number  of  years,  and  the 
product  added  to  Arg.  I.     The  argument  of  this  column  is 

Arg.  II  -f-  d'  -f-  day  of  year. 

2.  The  precession  of  the  equinoxes  in  longitude,  which  is  used  in  reducing  longitudes 
from  the  mean  equinox  of  one  date  to  the  mean  equinox  of  another  date.     It  is  given 
for  1850.     Its  variation  in  100  years  is 

&P  =  +  .000452  p,  p  being  the  value  in  the  table. 

3.  The  aberration  of  the  sun's  longitude,  to  be  applied  to  the  sun's  true  longitude  to 
obtain  its  apparent  longitude.     Its  value,  with  STRUVE'st  constant  is 

AQ  =  —  20".4451  —  0".3429  cos  (280°.4  —  Q). 
The  argument  of  this  and  the  following  column  is 
Arg.  I  -f  its  inequalities  -f  d'  +  day  of  year. 

4.  The  solar  nutation  for  the  epoch  1850.J 

In  Longitude,  AA  =  —  l".2694  sin  2  Q  +  0".1477  sin  (Q  +  82°  34') 

Eight  ascension,  A«  =  —  0S.077G  sin  2  Q  +  Os.0090  sin  (Q  +  82°  34') 
and  of  the  obliquity,  increased  by  the  mean  motion  in  the  fraction  of  the  year, 

Aw  =  —  0."4G45  r  +  0".550S  cos  2  Q  +  0".0092  cos  (Q  +  280°  21') 
TABLE  VIII  contains,  also  for  the  epoch  1850,  the  lunar  nutation,! 

*  PETERS'  Numerus  Const  ans  Nutationis,  pp.  66,  71. 

t  STRUVE's  Constant  del' Aberration,  p.  47. 

t  PLTEKS'  N*mt*m  Constans  Nutationis,  pp.  46-48. 


Ill 


In  Longitude,  A  A  =  —  17".249'1  sin  £  +  0".2073  sin  2  & 

In  Right  Ascension,  A«  =  —  P.0549  sin  Q  +  Os.0127  sin  2  & 
Of  the  Obliquity,      Aw  =  +  9".223o  cos  8  —  0".OS96  cos  2  & 
The  equation  of  the  equinoxes,  or  the  reduction  from  the  mean  to  the  true  equinox  of 
date,  is  the  sum  of  the  solar  and  lunar  nutations  in  longitude   and  right  ascension, 
respectively,  in  Tables  VII  and  VIII. 

The  true  obliquity  at  date  is  the  sum  of  the  mean  obliquity  for  the  beginning  of  the 
i  year,  and  the  two  variations  of  the  obliquity  in  the  same  tables. 
The  variations  in  100  years  of  these  values  arc — 
In  Longitude,  — 0".0172  sin  Q, 

In  Right  ascension,  — Os.00115  sin  Q 
In  the  Obliquity,       +0".0009  cos  £ 
The  terms  omitted,  which  exceed  0".007,  are — 

In  Longitude,  In  Right  Ascension,  In  the  Obliquity, 

+o"oi25  sin  (2  O  —  &)  +0^00077  sin  (2  O  —  &)     — o"o067  cos  (2  0  —  Q) 

—0.2041  sin  2  <£  —0.01248  sin  2  <£  +0.0886  cos  2  <C 

— 0.0339  sin  (2  <£  —  &)  — 0.00208  sin  (2  <£  —  Q)    +°-°lsl  cos  (2  <£  —  8) 

—0.0261  sin  (3  (L  —  F)  —0.00160  sin  (3  <£— F)      +0.0113  cos  (3  <£—./') 

+0.0677  sin  ( <T  —  /'')  +0.00414  sin  (<£—./*) 

+0.0115  sin  ( <C  +  F)  +°-00070  sin  ( (C  +  /') 

+0.0150  sin  (£  +  /'/_  2©)    +°-00092  sin  (<C  +  *''  — 20) 
In  these  and  preceding  formulae, 

Q  =  the  sun's  true  longitude. 

Q  =  the  mean  longitude  of  the  moon's  ascending  node. 

<£  =  the  moon's  mean  longitude. 

r  =  the  longitude  of  the  sun's  perigee. 

P  =  the  longitude  of  the  moon's  perigee. 

TABLE  IX  contains  the  values  for  different  years  of  the  coefficients  and  auxiliary 
angles,  which  enter  into  the  expressions  for  A,  B,  and  E,  as  denoted  by  BESSEL,  and 
hereafter  given.  They  are  derived  from  PETERS'  Namerus  Cmstans  Nutationis. 

TABLE  X  contains,  for  1850,  those  terms  in  A  and  B  which  depend  on  the  sun's 
longitude,  viz: 

AQ  =  —  .02519  sin  2  O  +  .00294  sin  (O  +  82°  34') 

BQ  =  —  0".550S  cos  2  O  —  Ox/.0093  cos  (0  +  280°  21X) 
The  argument  is 

Arg.  I  +  its  inequalities  +  d'  +  day  of  year. 

TABLE  XI  contains,  for  the  same  argument,  the  variations  of  AQ  and  BQ  in  100 

years,  or 

o  AQ  =  —  .000063  cos  (O  +  S3°.2)  —  .000020  sin  (O  +  83°.2) 

(J  7?0  =  +  0".0003  cos  2  O  +  0X/.0002S  sin  (0  +  2SO°.4)  +  0'7.00001  cos  (O  +280°.4) 
These  are  to  be  multiplied  by  ^  (t —  1850),  and  the  products  added  to  AQ  and  BQ 
taken  from  the  preceding  table. 

TABLE  XII  contains  the  terms  in  A  and  B,  which  depend  on  the  longitude  of  the  j 
moon's  node,  viz : 

A^  =  —  .34236  sin  &  +  .00410  sin  2  Q 
BQ>  =  —  9".22355  cos  &  +  0".OS955  cos  2  Q 
The  coefficients  arc  for  1850.     The  argument  is 

Arg.  Ill  +  d'  +  day  of  year,  or  if  it  exceed  3400(l, 
Arg.  Ill  +  d'  +  day  of  year  —  679S(1.39, 
I  (the  day  of  the  year  including  the  fractional  part  corresponding  to  the  local  mean  time.)  j 


IV 


When  the  argument  is  negative  the  sign  of  A Q,  as  given  in  the  table,  must  be 
changed:  the  sign  of  B ^  remains  the  same. 

TABLE  XIII  contains,  for  the  same  argument,  the  variations  cf  A^  and  S^,  or 
,7  AQ  =  —  .00031  sin  £ 

d  J5     =  —  0".0009  cos  &  —  0".0001  cos  2  $,  (in  units  of  the  4th  decimal  place.) 

06 

These  are  to  be  multiplied  by  gg.  C*  —  1850)  and  the  products  added  to  AQ  and 
I?Q  of  Table  XII.     When  the  argument  is  negative  dA^  changes  sign. 

By  means  of  Tables  IV,  VI,  VII,  X,  XI,  XII,  and  XIII,  we  obtain 

A  =  T  +  A*  -{-its  sec.  var.  +  A^  +  its  sec.  var. 

%  —          j?0  _j_  its  sec.  var.  +  B^  +  its  sec.  var. 

the  logarithms  of  which  are  given  in  the  American  Ephemeris  for  Washington  mean 
midnight.  With  the  longitude  and  Table  III  we  may  also  find  their  values  for  any 
other  place  and  time. 

The  terms  of  short  period,  which  depend  on  2  <£  and  <£  —  P  may  be  supplied  from 
Table  XVII,  and  several  other  small  terms  from  Table  XXXVI. 

TABLE  XIV  gives  for  1850, 

E~  =  —  0".0035  sin  2  Q»  and  its  variation  in  100  years, 

dEfa  =  -|-  0".0005  sin  2  O?  m  units  of  the  4th  decimal  place. 

The  argument  is 

Arg.  I  -f-  its  inequalities  +  d'  +  fay  of  year. 
TABLE  XV  gives  for  1850, 

Er  —  —  0".04S3  sin  &  +  0".0015  sin  2  °>,         and  its  variation  in  100  years, 

oo 

&E     =  +  0".0069  sin  P,  —  0".0001  sin  2  P>,  (in  units  of  the  4th  decimal  place.) 

The  argument  is  Arg.  Ill  +  df  +  day  of  year,  or  Arg.  Ill  +  d'  +  day  of  year  — 
6798d.39.  When  it  is  negative  the  signs  of  EQ  and  ^-^Q,  as  given  in  this  table,  must 
be  changed. 

dEft  and  dE^  are  to  be  rnultipled  by  ^  (t  —  1850). 

From  Tables  XIV  and  XV  we  have 

E  =  E^  -4-  its  sec.  var.  4-  En  -4-  its  sec.  var, 

\2)  GO 

or,  in  time,  --  of  this  value. 
15 

TABLE  XVI  gives  for  Washington  mean  noon  of  Jan.  0  in  common  years,  Jan.  1  in 
bissextile  years, 

Arg.  IV,  the  number  of  mean  days  elapsed  since  twice  the  moon's  longitude  was  0, 
Arg.  V,  the  number  of  days  since  the  moon's  mean  anomaly  ( <£  —  P)  was  0, 
;  together  with  multiples  of  their  periods. 

TABLE  XVII  gives  the  terms  in  A  and  B}  which  depend  on  2  d  and  d  —  P,  viz : 
A~=  —  .00405  sin  2  d,  B ~  ==  —  0".OSS6  cos  2  <£ 

A'=  +  .00135  sin  (d  —  P), 

in  units  of  the  fifth  decimal  place  for  A,  and  of  the  fourth  for  B. 
Arg.  for  Af-    and  B~  ,     Arg.  IV  -(-  d'  -\-  day  of  year; 
Arg.  for  A'  ft  ,  Arg.  V  +  d'  +  day  of  year; 

each  diminished  by  the  largest  contained  multiple  of  its  period. 

Reductions  of  ri^ht  ascensions  and  declinations,  which  depend  on  d  and  d  —  P,  are 
:  given  in  Tables  XXXI  —  XXXIV. 


TABLE  XVIII  contains  for  the  epoch  1850,  and  for  each  tenth  of  the  argument, 

Arg.  I  +  its  inequalities  +  d'  +  fay  °f  year, 
the  logarithms  of 

C  =  —  20".4451  cos  «>  cos  O  =  —  1S".7553  cos  Q 
I)  =  —  20".4451  sin  Q 

The  variation  of  log.  C  in  100  years  is  +  0.00004,25. 
|  Changes  of  index  in  this  table  are  indicated  by  : 

TABLE  XIX  contains,  for  the  same  epoch  and  argument,  J3"and  the  logarithms  of 
and  i  from  the  formulae 

h  sin  H  =  C,     i  =  C  tan  w  =  —  S  M3S9  cos  0 
h  cos  H  =  D 

The  variations  in  100  years  are 

o  H  =  +  Ox.17  sin  2  H,     '   o.  log  h  =  +  0.00004,25  sin2  # 
o.  log  i  =  —  0.0002,25. 


The  quantities  A,  B1  C,  D,  Et  or  7t,  ZT,  ?,  together  with/,  g,  G  from  the  formulae, 

/  =  m  A  -f-  E,        g  cos  G  =  n  A 
g  sin  G  —  B, 

serve  for  reducing  the  mean  right  ascension  and  declination  of  a  star  at  the  beginning 
of  the  year  to  its  apparent  place  at  date. 

If  ao,  5Q  are  the  star's  mean  right  ascension  and  declination  at  the  beginning  of  the  year; 
a,  J,  the  star's  mean  right  ascension  and  declination,  and 

a',  ft',  the  star's  apparent  right  ascension  and  declination,  for  the  time,  r,  reckoned  from 

the  beginning  of  the  year  and  expressed  in  fractional  parts  of  a  tropical  year; 

IJL  and  AI',  the  annual  proper  motion  of  the  star  in  right  ascension  and  declination, 

respectively  ; 

w,  the  obliquity  of  the  ecliptic,  in  Table  VI; 
m,  n,  the  coefficients  for  precession  in  Table  V  ; 
and  with  BESSEL'S  notation, 

a  =  —  (m  -\-  n  sin  a  tan  8)  of  =•  n  cos  a 

1)  =  —  cos  a  tan  d  I'  =  —  sin  a 

13 

c  =  TT  cos  a  sec  d  d  =  tan  at  cos  S  —  sin  a  sin  d 

lo 

d  =  —  sin  a  sec  S  d'  =  cos  a  sin  d 

lo 

we  have  for  the  reduction  to  the  apparent  place  at  date,  the  formulae, 


or  the  formula?, 

a'  —  ao  =  f  -}-  g  sin  (G-  -f-  a)  tan  3  -\-  h  sin  (H  -j-  a)  sec  d  -{-  r  fi 
o'  —  o0  =  g  cos  (G  +  a)  +  7*  cos  (JT  +  a)  sin  <J  -|-  i  cos  <J  -f-  r  //. 

Except  for  stars  of  high  declination,  the  mean  right  ascension  and  declination  of  the  | 
star,  or  the  values  of  a,  6,  <£c.,  for  the  beginning  of  the  year,  instead  of  their  values  for 
the  date,  inay.be  used. 

If  greater  accuracy  is  required  the  small  terms  in  A  and  B  from  Tables  XVII  and 
XXXVI  may  be  supplied;  or  instead  of  the  former,  the  terms  in  the  reductions  of  right 
ascension  and  declination  in  Tables  XXXI  —  XXXIV  :  and  for  stars  neur  the  pole  we 
mav  also  add  such  of  the  following  terms  as  may  be  of  sufficient  magnitude  : 


VI 


In  Eight  Ascension. 


In  Declination. 


+0.000003 
—0.000149    r2coso 

—0.0000650  r2  sin  2 
+0.0000103  sin  2  & 
— 0.0000107  cos  2  Q 


•     ) 

os  2  a  > 
in  2  a  ) 


cos 
sin 


tan2  d 


+0.0000620  sin  2  ©  cos  2  a  )  2 
— 0.0000622  cos  2  ©  sin  2  a  j  S( 

+0.0000513  sin  (©  +  8)  cos  2  a  ~] 
— 0.0000507  cos  ( 0  +  & )  sin  2  a  ( 
+0.0000097  sin  (0 — Q)oos2a  f 
— 0.0000053  oos (0 — 8)  sin2«3 


»         * 


sin  d  tan  <5 


+0.000975  r2  sin2  a 
—0.000023  cos  2  £ 

—  0.000080  cos  2  &  cos  2  a 

—  0.000077  sin  2  &  sin  2  a 
+0.000040  cos  2  © 

—  0.000467  cos  2  0  cos  2  a 

—  0.000465  sin  2  ©  sin  2  a  3 

—  0.00004cos( 

—  0.00038  cos  ( 

—  0.  00038  sin(  O  +  &  )sin2  a 

—  0.00038cos(Q—  £  ) 

—  0.00004  cos(Q  —  &  )cos2a 

—  0.  00007  sin(O  —  8)sin2  a  3 

TABLR  XX,  for  the  computation  of  the  annual  precession  of  a  star  in  right  ascension 
and  declination,  contains  for  the  epoch  1850.0 

Ao«  =  P.33709  sin  «,  or  its  logarithm,  and 
A<?  =  20".0564  cos  a, 
the  signs  of  which  are  given  with  the  hour  of  the  argument. 

For  any  date  t,  expressed  in  years  and  parts  of  a  year,  the  argument  is  the  star's  mean 
right  ascension  at  that  time; 

log.  A0«  =  its  tab.  value  —  0.00000,187  (t  —  1850); 
the  annual  precession  in  right  ascension  is 

Aa  =  3S.07177  +  Ao«  tan  d  +  Os.00001,9  (t  —  1850], 
in  which  8  is  the  star's  mean  declination  at  the  time  t; 
and  the  annual  precession  in  declination 

Ao  =  tab.  value  —  0".OOOOS6  cos  a  (t  —  1860.) 

The  table  gives  —  0/7.0086  cos  a,  the  variation  in  100  years  of  the  tabular  value  of  A<J. 
Its  sign,  as  given  in  the  table,  must  be  changed  when  a  is  between  6h  and  18h. 
The  variation  of  the  annual  precession  in  100  years  is 

In  Eight  Ascension.  In  Declination. 


+0.00190 
+0.00650     sin  2  a 
— 0.000573  sin  a  tan  d 
+0.029868  cos  a  tan  d 
+0.013000  sin  2  a  tan2  d 


— 0.0086  cos  a 
— 0.4480  sin  a 
—0.1950  sin2  a  tan  d 


I  by  which  the  annual  precession  found  for  one  epoch  may  be  reduced  to  another. 

Adding  to  the  annual  precession  the  proper  motion  of  the  star  referred  to  the  same 
equinox  and  equator,  we  have  the  annual  variation  in  right  ascension  and  declination. 
The  whole  motion  between  two  dates,  t  and  f,  may  be  found  by  multiplying  the  annual 
motion  at  the  middle  time,  \  (f  +  t),  by  (i'  —t)  the  number  of  years  in  the  interval. 

This  table  and  these  expressions  are,  however,  not  sufficiently  rigorous  for  stars  near 
the  polt>,  for  which  it  is  necessary  to  take  into  consideration  second  and  higher  differ- 
ences of  the  motion. 

SPECIAL  TABLES 

For  the  Standard  Stars  of  the  American  Ephemeris. 

TABLE  XXI  contains  the  mean  right  ascensions  and  declinations  for  1860.0  of  the 
198  fixed  stars,  whose  apparent  places  arc  given  in  the  American  Ephemeris,  commencing 
with  the  volume  for  1865.  The  magnitudes,  annual  variations,  (which  include  precession 


Vll 

i  and  proper  motion,)  secular  variations,  or  changes  in  100  years  of  the  annual  variations,  I 
j  and  proper  motions  are  also  given. 

The  differences  of  these  places  and  annual  variations  from  those  employed  in  the 
American  Eplicmeris  for  1865-1869  will  be  found  in  Table  XXIX. 

The  places  and  proper  motions  of  48  northern  circumporUr  stars  and  128  time  stars  \ 
have  been  taken  from  Dr.  B.  A.  GOULD'S  Standard  Places  of  Fundamental  Stars,  U.  S. 
Coast  Survey,  Second  Edition,  Washington,  1866;  of  a  Canis  Majoiis,  a  Geminoruin, 
(the  mean  of  the  components),  «  Canis  Mlnoris,  y  Draconis,  and  a  Cephei,  from  WOLFKUS'  ! 
Tal)iilcc  Iieductiomun  Astronomicarum,  Berlin,  1858:  of/S1  Scorpii,  ry  and  ,5  Draconis,  and 
61  l  Cygni,  from  a  discussion  of  nearly  all  available  observations  by  Mr.  G.  W.  HILL,  j 
hereafter  given;  and  of  13  stars  south  of  —  40°  dec.  from  the  British  Nautical  Almanac  | 
for  1848.     The  magnitudes,  except  of  the  13  southern  stars,  are  ARGELANDEU'S.     Cir- 
cumpolar  stars  are  indicated  by  a  * 

The  mean  right  ascension,  or  declination,  of  a  star  for  any  year  t  will  be  its 
E.  A.,  or  Dec.,  for  1860.0  -f  [An.  var.  +  sec.  var.  X  ~  (*—  ]  8GO)]  (*  —  1SG0)- 

For  a  star  near  either  pole  'it  may  be  necessary  also  to  include  terms  of  the  third  and 
higher  powers  of  the  time.  The  coefficients  of  these  terms  for  the  northern  circum- 
polar  stars  will  be  found  in  GOULD'S  Standard  Places  of  Fundamental  Stars  already 
referred  to. 

TABLES  XXII  and  XXIII  contain  the  mean  places  of  the  same  stars  for  the  beginning 
of  each  year  from  1865-1872  and  1873-1880,  respectively.  The  hours  and  minutes  of 
right  ascension  are  given  only  for  the  first  year  on  each  page;  when  the  seconds  exceed 
60s  they  must  be  diminished  by  the  requisite  number  of  multiples  of  60s,  and  the  minutes 
increased  by  the  same  number.  A  similar  remark  applies  to  the  degrees  of  declination. 

The  year  is  supposed  to  begin  when  the  sun's  mean  longitude  is  280°. 

TABLES  XXIV-XXVIII  contain  the  quantities  necessary  to  obtain,  for  any  date 
from  1865  to  1880,  the  apparent  places  of  as  many  of  these  stars  as  are  not  found  in 
WOLFE  RS'  Tabula  Reduction  ton.  Tables  for  «  and  <5  Ursa?  Minoris  are  also  given  ;  but 
WOLFERS'  tables  for  the  remaining  42  stars  require  no  other  appreciable  change  than 
for  differences  of  mean  place  and  proper  motion. 

TABLE  XXIV  contains  for  each  star  — 

T(a+  p.) 


V 


Cc'+Dd'  +  r  (a 


in  which  the  same  notation  is  used  as  in  pages  iii  and  iv. 

To  A    a  and  A    d  have  been  added  the  small  terms,  given  on  page  vi,  which  depend  j 
on  r2  and  Q,  and  to  A~a  and  A~<5those  which  depend  on  $,  whenever  they  are  of  suffi- 
cient magnitude. 

The  first  two  of  this  set  of  quantities  include  precession  and  proper  motion  for  the 
fractional  part  of  the  year  denoted  by  r,  aberration  and  solar  nutation  ;  the  other  two 
comprise  the  principal  terms  of  lunar  nutation. 

The  times  of  the  star's  conjunction  in  right  ascension  with  the  true  and  mean  suns,  and, 
!  for  a  circumpolar  star,  of  its  opposition  to  the  mean  sun,  are  also  given. 

The  meridian  on  which  the  .mean  sun  is  at  the  time  its  longitude  is  280°  is  called  the 
fictitious  meridian  for  the  following  year;  and  the  astronomical  mean  time  of  that  instant 
at  that  meridian  is  Jan  0  Oh  of  common  years,  Jan.  1  Oh  of  bissextile  years.  The  cor- 
responding sidereal  time  is  Jan.  0  18h  40*m,  or  in  bissextile  years,  Jan.  1  18h  40m. 

A^aand  AQ£  are  first  given  for  the  upper  transit  of  the  star  at  this  meridian  which 

immediately  precedes,  or  follows,  this  date,  according  as  the  right  ascension  of  the  star  ; 
is  less,  or  greater,  than  18h  40m;  arid  then  for  every  tenth  transit  throughout  the  year.  ; 


Vlll 


They  arc  the  proper  values  for  1870,  but  may  be  reduced  to  any  other  year  by  adding 
to  each—  (t  —  1870)  X  its  Var.  in  10  years,  (t  being  the  entire  year,  exclusive  of  the 
|  fractional  part.) 

The  columns  headed  Diff.for  10  days  are  the  first  differential  coefficients  of  A    a  and 

A    ijj  respectively,  with  regard  to  the  time,  the  unit  of  which  is  10  days.     Both  the  Var. 

in  10  years  and  the  Diff.for  10  days  are  expressed  in  units  of  the  last  decimal  place  of 
the  quantities  to  which  they  belong,  and  arc  given  for  the  same  dates. 
A     a  and  A~<5  are  also  given  for  the  same  first  transit,  and  then  for  every  hundredth 
transit  of  the  same  meridian  in  each  year  from  1865  to  1880. 

The  common  argument  given  for  both  sets  of  quantities  is  the  number  of  sidereal  days 
from  the  star's  first  transit.  But  for  A  -.  «  and  A  ^  d  are  also  given  the  calendar  dates, 

both  sidereal  and  mean,*  the  repetition  of  which  for  A  -.a  and  A  „  8  is  unnecessary. 

To  the  mean  day  is  appended  the  fractional  part  expressing  the  astronomical  mean 
time  of  the  star's  transit,  the  sidereal  time  being  the  star's  right  ascension.  But,  as  the 
argument  for  a  time  of  transit,  the  entire  day  only  is  to  be  regarded,  whether  sidereal  or 
mean,  and  the  part  of  a  day  neglected. 

It  is  to  be  noted,  however,  that  in  bissextile  years  the  dates  of  the  months  January 
and  February,  as  given  in  the  table,  should  be  increased  by  one  day. 

The  quantities  in  this  table,  being  given  for  the  time  of  the  upper  transit  of  the  star 
at  the  fictitious  meridian,  may  be  reduced  to  the  time  of  transit  at  any  other  meridian  for 
i  the  same  date,  by  interpolating  for  its  longitude  from  the  fictitious  meridian  of  the  year  ; 
which,  expressed  in  days,  is  k'  -|-  d'  of  Tables  VI  and  I.t 

And  for  the  nih  transit  at  that  meridian  after  any  tabular  date  the  interval  for  inter- 
polation will  be  n  -j-  k'  -f-  d'.  For  a  back  interpolation  n  is  negative. 

1.  If  then  the  apparent  place  of  a  star  is  required  for  the  time  of  its  upper  transit  of 
any  meridian  on  a  specified  day,  the  argument  with  which  to  enter  the  table  for  the  star 
will  be 

The  sid.  day  +  kf  -f-  d',  for  the  column  Sidereal  Day; 
or,  except  in  the  case  hereafter  mentioned, 

The  mean  day  +  A/  +  d',  for  the  column  Mean  Day, 
(neglecting,  however,  the  fraction  of  a  day  in  this  column.) 

On  the  mean  day  when  the  star  is  in  conjunction  with  the  mean  sun  there  will  be  two 
transits,  the  first  occurring  near  the  commencement,  the  other  near  the  close  of  the  day  ; 
and  it  will  be  necessary  to  state  which  is  meant. 

The  preceding  argument  applies  to  the  first  of  these  in  a  forward  interpolation.  For 
the  other,  and  for  the  succeeding  transits  in  the  period  of  ten  days  in  which  the  con- 
junction occurs,  that  is,  after  the  conjunction  and  until  the  next  tabular  date,  the 
argument  should  be 

The  mean  day  +  /j7  -{-  d'  -f  ld. 

So  also  for  a  back  interpolation,  the  argument,  as  first  stated,  applies  to  the  second  of 
the  two  transits,  which  occur  on  the  day  of  conjunction.  For  the  first,  and  for  the  pre- 
ceding transits  until  the  next  preceding  tabular  date,  the  argument  should  be 

The  mean  day  -|-  /•/  -f-  d'  —  ld. 

^  Bnt  it  may  be  more  convenient,  when  the  mean  day  is  given,  to  reduce  it  to  the 
sidereal  day,  by  adding  to  it 

ld,      before  <$  *  Mean  Sun, 
2d,      after        -  «       * 

Od,      before      "  " 


ld, 


eore  "          )  . 

after         «  «         }  if  «  >  18MO» 


*  Jan.—  0  TO,  at  the  top  of  col.  Mean  day,  on  p.  92,  is  Dec.  30.24,  or  in  bissextile  years,  Dec. 
31.24,  ot  the  preceding  year.  Other  negative  dates  are  to  be  regarded  in  the  same  way. 

t  ft'  +  d'  sometimes  exceeds  ld,  or  the  whole  circumference.  It  should,  however,  be  used  without 
any  i  eduction. 


IX 


Then  by  adding  A/  -\-  df  we  have  the  argument*  to  be  used  with  the  column  sidereal 
da  if. 

On  the  day  of  conjunction  the  first  of  the  two  transits  is  before,  the  second  is  after, 
the  time  of  conjunction. 

2  If  the  apparent  place  of  a  circumpolar  star  at  the  time  of  its  lower  transit  on  any 
day  is  wanted,  the  argument  to  be  used  with  the  column  sidereal  day  will  be 
The  sid.  day  +  //  +  d'  +  Od.o,      if  a  <  12b, 
The  sid.  day  +  I'  +  d'  —  Od.5,      if  a  >  121'  ; 
or 

Tlic  mean  day  -f-  I'  +  d'  +  ld.5,      before  £  *  Mean  Sun,  \  -f          Ah  ,n 
The  mean  day  +  k'  +  d'  +  2d.5,      after  "  /  * 

T/<e  mean  day  +  *'  +  d'  +  Od.5,      before  «  \  .f     ^    h 

T/MJ  wean  f%  +  lif  +  df  +  ld.5,      after  "  j  ir 

Two  lower  transits  occur  on  the  mean  day  of  the  star's  opposition  to  the  mean  sun. 
The  remarks  respecting  two  transits  on  the  same  day  apply  here  as  in  the  case  of  upper 
transits. 

'  The  argument  for  a  lower  transit  to  be  used  with  the  column  Mean  Day,  excluding 
as  before  the  fractional  part  af  a  day  in  that  column,  will  be 

Tlie  mean  day  +  k'  -f-  d'  —  Od.o, 
from  the  conjunction  to  the  succeeding  opposition  with  the  mean  sun; 

The  mean  day  +  V  +  d'  +  Od.5, 

from  the  opposition  to  the  succeeding  conjunction;  with  the  same  modification,  however, 
at  the  date  of  two  transits,  as  in  the  case  of  an  upper  culmination. 

3.  For  a  specified  sidereal  time,  sid.  day  -f-  s,  the  argument  will  be 

The  sid.  day  -f  W  +  d'  +  (s  —  a), 
in  which  convenience  requires  that  s  —  a  should  be  expressed  in  decimals  of  a  day. 

4.  For  a  specified  mean  time,  the  argument,  with  which  to  enter  the  column  Mean 
Day,  will  be 

The  mean  time  -f  V  -f  d'; 

and  the  fractional  part  of  the  day  in  this  column  must  be  taken  into  account.t     For 
A  -..  «  and  A~  d  the  column  of  Mean  Day  is  easily  supplied  from  columns  one  and  two  of 

the  table. 

Forming  the  argument  in  either  of  these  cases  and  taking  the  nearest,  or  the  next 
preceding,  tabular  date,  let 


T  =  ^(Arg.  —  Tab.  date  for  A0aandA0f?), 


T  —  —  (Arg.  —  Tab.  date  for  A^aand  A^fl). 

1          100  *°  ^ 

T  will  be  the  coefficient  by  which  to  multiply  the  Diff.for  10  days  of  AQ«>  ^Q^;  anc* 

their  Var.  in  10  years  ; 

Tj,  the  coefficient  of  the  Diff.  for  100  days  of  A    a  and  A0£;  and  £  T2  and  £  Tf, 

OO  OO 

respectively,  the  coefficients  of  the  second  differences  of  the  two  sets  of  quantities;  pro- 
vided the  first  differences,  like  the  Diff.for  10  days  of  AQ«  and  AQfl  in  the  table,  are 

reduced!  to  the  tabular  date  employed. 

If  we  use  as  2d  difference  the  mean  of  the  differences  of  the  Diff.for  10  days,  or  the 
-  f°r  100  days,  which  immediately  precede  and  follow  the  tabular  date,  i  I73  and 


*  This  also  is  the  argument  for  the  similar  tables  of  BESSEL'S  Tabula  Regiomontanae  and  WOLFEUS' 
Tabulc  Itcductionum. 

t  The  mean  time  interval  in  this  case,  Ars-  —  Tab.  date,  should  be  increased  by  ^  part. 
t  This  is  done  with  sufficient  exactness  by  subtracting  from  the  mean  of  the  1st  differences,  which 
immediately  precede  and  follow  the  date,  one-sixth  of  the  corresponding  third  differences ;  i  e. 


-J  T^  will  be,  respectively,  the  coefficients  of  the  3d  difference,  which  it  is  sometimes 
necessary  to  take  into  account.  But  if  the  nearest  tabular  date  is  used,  T  or  rl\  will  be 
numerically  less  than  i,  and  the  coefficient  of  the  3d  difference  will  be  less  than  fa. 

Adding  the  several  products,  indicated  above,  to  the  primary  quantities  to  which  they 
belong,  we  shall  have  &fta>  ^rrA  ^ie  ^ar'  ^n  ^  years  of  each,  A  ~a  and  A,.  5  reduced 

to  the  specified  time.     Then,  if  . 

«0  and  5Q  are  the  mean  right  ascension  and  declination  of  the  star  at  the  beginning  of  the  year, 

a'  and  o',  its  apparent  right  ascension  and  declination  at  the  stated  time, 

the  required  apparent  place  of  the  star  is  found  by  the  following  formula? : 

a'  =  a0  +  A^«  4-  its  Var.  in  10  y.  X  TV  (*  —  1§70)  +  A0«, 
\i)  06 

d'  =  d0  +  A0,5  -f  its  Var.  in  10  y.  X  TV  (t  —  1870)  +  A^<S; 

to  which,  however,  should  be  added  in  the  case  of  several  circumpolar  stars  several  small 
terms  supplied  by  subsequent  tables :  and,  for  other  stars  also,  the  terms  depending  on 
(I  and  <X  —  P,  when  they  are  regarded  as  of  sufficient  importance. 

The  essential  features  of  this  table  belong  also  to  the  corresponding  tables  of  BESSEL'S 
Tabulcc  Rcgiomontance  and  WOLFERS'  Tabulae  Reductionum.  The  peculiar  arrangement 
with  respect  to  the  argument,  employed  first  by  BESSEL,  presents  this  great  advantage, 
that  the  argument  and  coefficients  for  interpolation  are  the  same  for  all  stars  at  their 
respective  times  of  transits  over  the  same  meridian  on  the  same  sidereal  day;  that  is, 
from  Oh  of  sidereal  time  until  the  succeeding  Oh.  And  for  each  successive  sidereal  day 
the  argument  increases  by  1  day. 

In  constructing  an  ephemeris  of  the  stars,  for  each  tenth  transit,  like  that  of  the 
American  Eplicmeris,  the  coefficients  for  interpolation  are  the  same  for  every  date 
throughout  the  year,  as  well  as  every  star,  viz :  • 

T  =  j3^  (A/  +  d')j  rJ-\  —  yio  $'  ~t~  c^}' 

or,  if  it  is  desired  that  the  ephemeris  shall  commence  n  days  later, 

Thus  for  -1868  and  the  meridian  of  Washington,  to  commence  Jan.  1, 

ld  +  A/  +  d'  =  +  ld.649,  T  =  +  0.1649,  2\  =  +  0.01649; 

and  for  1870,  to  commence  Jan.  0. 

ld  -f  K  +  d'  =  +  ld.164,  T  =  -f  0.1164,  Tl  =  +  0.01164. 

To  the  numbers  in  the  column  Mean  Day  we  may  simply  add  n,  or  more  rigidly 
w  — .00274  (n+V  +  d']. 

TABLE  XXV  contains  for  51  Cephei,  G  Octantis,  and  A  Ursa?  Minoris  terms  in  right 
ascension  and  declination  to  be  multiplied  by  TJ-Q  (t  —  1870)2;  that  is,  a  secular  varia- 
tion of  the  secular  variation.  The  argument  is  the  same  as  for  A^a  and  A^fl  in  Table 
XXIV. 

TABLE  XXVI  contains,  also  for  the  same  argument,  the  motion  of  O  +&  and  O  — Q>  > 
expressed  in  thousandths  of  the  circumference. 

TABLE  XXVII  contains  for  «  Ursse  Minoris,  51  Cephei,  a  Octantis,  arid  A  Ursa?  Mi- 
noris, terms  in  right  ascension  and  declination,  (on  page  vi,)  which  depend  on  O  +  & 
and  O  —  &•  The  argument  is  O  +  Q?  or  O  —  ££>  as  given  on  page  249  for  the  star 
at  the  beginning  of  the  year,+  the  motion  for  the  date  $n  Table  XXVI;  rejecting  1000 
when  the  sum  exceeds  that  number.  The  sign  to  be  used  is  that  written  on  the  same 
side  as  the  argument. 

TABLE  XXVIII  contains  for  «  Ursse  Minoris,  51  Cephei,  d  Ursse  Minoris,  and  A  Ursse 
Minoris,  terms  which  depend  on  2  <[ ,  viz : 

A  c  a  =  —  08.0125  sin  2  ^  —  [09.00542  sin  2  <T  sin  a  +  Os.00590  cos  2  d  cos  a]  tan  d 
A  G  3  =  —  0/7.0813  sin  2  d  cos  a  +  0".OSS6  cos  2  (I  sin  a. 


XI 


The  "argument  2  d  "  is  the  number  of  sidereal  days  since  2  ([  =  0.  It  is  given  for 
the  beginning  of  each  fictitious  year  on  page  253,  and  is  formed  for  any  date  by  adding 
to  the  argument  for  the  year,  the  argument  for  AQ«,  &c.,  in  Table  XXIV,  expressed 
in  sidereal  days,  i.  e. 

The  sid.  day  -f-  //  +  *?',  for  the  upper  transit, 

The  sid.  day  -f-  &'  -f-  d'  +  (s  —  a),     for  any  sidereal  time; 

and  subtracting  the  largest  contained  multiple  of  the  period.  As  in  Table  XXIV,  the 
argument  is  the  same  for  the  four  stars  at  their  transits  over  the  same  meridian  on  the 
same  sidereal  day.. 

The  terms  are  given  for  every  tenth  of  a  sidereal  day,  an  interval  sufficiently  small  to 
dispense  with  interpolation.  It  will  be  noticed,  however,  that  the  table  is  arranged  so 
that  there  is  an  interval  of  a  sidereal  day,  instead  of  a  tenth  of  a  day,  in  the  argument; 
so  that,  starting  with  the  argument  for  the  commencement  of  a  daily  ephemeris,  we  have 
only  to  write  down  the  numbers  from  the  proper  column  of  the  table,  in  the  order  in 
which  they  are  given;  and,  when  we  arrive  at  the  end  of  the  table,  to  go  back  to  the 
beginning,  and  so  on  until  the  period  of  the  ephemeris  is  completed.  This  advantage 
is  afforded  by  the  fact  that  the  period  of  the  argument  is  13.698  sidereal  days,  so  that, 
assuming  it  as  13.7  days,  will,  after  a  whole  year,  make  the  argument  in  error  less  than 
Od.05.  If  we  add  Od.025  to  the  argument  at  the  beginning  of  the  year,  the  arguments 
obtained  for  the  middle  of  the  year  will  be  correct;  and  at  the  beginning  and  end  will 
be  in  error  less  than  Od.03. 

Thus  for  the  upper  transit  of  a  Urese  Minoris  at  the  meridian  of  Washington,  1870, 
Jan.  1. 

Arg.  2  <[  +  sid.  day  -f  kf  -f-  d'  =  5d.8S  +  2d  -j-  Od.16  =  Sd.04,  and  adding  Od.025, 
we  have  8d.l  as  the  argument  with  which  to  commence. 

TABLE  XXIX  contains  the  reductions  of  the  places  of  the  stars,  as  given  in  the 
American  Eplicmcris  for  the  years  1865-1869,  to  those  adopted  in  these  tables  and  in 
the  Ephemeris  for  1870.  The  epoch  is  1865. 

TABLE  XXX  gives  lor  the  beginning  of  each  year  Dr.  ATJWERS'*  correction  of  the 
position  of  a  Canis  Majoris,  Sirius,  duelo  orbital  motion,  viz: 

2  =  +  Os.0647  —  03.000718(£— I860) +  OM510  cos  (w+    1°    6') 
r=  — 0".630  —  0".00044   (t— 1860)  +  l"-445  sin  (u  +  23°  30') 
in  which  ^(,  the  eccentric  anomaly  from  the  inferior  apsis,  is  found  by  the  formulae 

u — e  sin  u  =  n  (t — T), 
from  the  elements 

T=  1793.830,    passage  through  the  inferior  apsis, 

c  =        0.6010,  the  eccentricity, 

n  =       7°. 28475,  mean  annual  motion  in  orbit, 

49y.418,  period  of  revolution. 
It  is  substituted  for  the  Tabula  Sitbsidiaria  of  WOLFE  RS. 

SUPPLEMENTARY  TABLES, 

Of  small  terms  in  nutation. 

TABLES  XXXI  and  XXXIII  contain  terms  in  the  reduction  of  mean  right  ascensions 
and  declinations,  which  depend  on  2  d ,  viz : 

A'^a^  —  03.0125  sin  2  d . 

A'^a  -f-  tan  d  =  —  Os.00542  sin  2  d  sin  a  —  Os.00590  cos  2  €  cos  a 

A'^o  =  —  0".OS13  sin  2  d  cos  a  +  0".OSS6  cos  2  d  sin  a 
The  arguments  are, 

Side  Arg.  =  Arc,.  IV  (Table  XVI)  +  d'  +  day  of  year, 
Hor.  Arg.  —  a, 


*  Astronomische  Nachrichten,  vol.  G3,  No.  1506. 


Xll 


subtracting  from  the  former  the  largest  contained  multiple  of  the  period.     The  signs  of 
A"  a.  and  A'  ti,  as  given  in  the  table,  are  to  be  changed  when  a  >  12h. 

TABLES  XXXII  and  XXXIV  contain  terms  which  depend  on  <L  —  P,  viz: 
A'^'a  =  +  08.0041  sin  («—  P), 
Alva  -r  tan  d  =  +  08.00180  sin  (  d—  P)  sin  a, 
A'^  =  +  0".0270  sin  (  d  —  P)  cos  a, 

The  arguments  are, 

Side  Arg.  =  Arg.  V  (Tab.  XVI)  +  d'  +  day  of  year. 
Hor.  Arg.  =  «. 
The  signs  of  A^«  and  A"  d,  as  given  in  the  table,  are  to  be  changed,  when  a  is  found 

at  the  bottom. 

TABLE  XXXV  contains  for  Washington  mean  noon  of  Jan.  0  in  common  years,  Jan. 
1  in  bissextile  years,  arguments  for  small  terms  in  nutation,  viz: 
Arg.      VI,  for  terms  in  2  ©  —  &  ,  with  its  inequalities. 
Arg.    VII,         "  20-—  2  &  " 

Arg.  VIII,         "  20—  21'  « 

Arg.      IX,          «  2P  —  & 

Arg.       X,         "  P 

In  each  case  the  argument  is  the  number  of  mean  days  since  the  quantity  was  0.     The 
period  of  each  is  also  given. 

TABLE  XXXVI  contains  the  following  small  terms: 

In  A.  „    In  B. 

—  .00011  sin  (3  ©  —  F)*  _o.0027  cos  (3  0  —I1),*  For  Arg.        I. 
+  .00025  sin  (2©  —  &),  +0.0067  cos  (2  ©  —  Q,  ),         "             VI. 

—  .00005  sin  2  (  ©  —  &  ),  "          VII. 

-  -.00010  sin  2(©  —  P),  «        VIII. 

-  -.00009  sin  (2  P—  Q),  +0.0024  cos  (2  P-  Q),          "  IX. 


--.00005  cos  P      *  —  0.0023  sin  T/  «  T 

} 


-  -  .00004  sin  2  P}  +  0.0008  cos  2  P 


They  are  expressed  in  the  table  in  units  of  the  fifth  decimal  place  for  A,  and  of  the 
fourth  for  B. 

The  Argument  in  each  case  will  be  the  Argument  for  the  beginning  of  the  year,  from 
Table  VI  or  XXXV,  -f-  its  inequalities  +  d'  +  day  of  tlie  year,  diminished  by  the  largest 
contained  multiple  of  its  period. 

EXAMPLES. 

1.  Required,  for  Washington  mean  midnight  July  12,  1868,  the  obliquity  of  the  ecliptic, 
the  equation  of  equinoxes  in  longitude  and  right  ascension,  and  the  quantities  A,  B,  C, 
D,  E,f,  g,  G,  h,  H  and  i. 

Preparation  of  tJie  Arguments. 

I.  II.  III.  IV.  V. 

Tab.  VI,  XVI,     for  1868      .      .  2.273  2.7—2984.61            0.054  19.01 

II,  III,         for  July  12,  12h.  193.500  193.5          193.50         193.500  193.50 

I,                   for  Washington.  0.000  0.0               0.00             0.000  0.00 

VII,         .001,16  X  18.5  =  +  0.021, 

—  Multiples  of  Period  —  191.251  —192.88 


Arguments  for  date    .     .     .    195.794      196.2—2791.11  2.303          19.63 


*  The  assumed  value  of  T  is  279°  56',  which  is  nearly  its  value  in  1825. 


Xill 


HANSEN'S  Arg.  I  +  its  inequalities  is  195d.791,  which  differs  only  Od.003  from  the 
preceding  value. 

VI.  VII.  VIII.        IX.           X. 

Tab.  XXXV,     for  1868     ....            21.4  118  192           242         1009 

*'           inequalities      ...    —        .3  0  0 

I,  II,  III,     for  Wash.  July  12, 12h      193.5  193  193           193            193 

—Multiples  of  Period      .     .     .     —177.8  —173  —206 

Arguments  for  date     ....           36.8  138  179          435         1202 


Ob.ofcclip.          Eq.  of  Eq*x.  r 

0     ,     „       In  Long.    InR.A.  y 

Tab.  VI,  for  1868     .    23  27  22.63          „  .         Tab.  VI,  fc"  =  +  0.00178 

VII,  for  Arg.  I.         —    0.65    +0.80    +0.049  IV,  for  July  12     0.52979 

VIII,  for  Arg.  Ill      —    7.85    —9.38    —0.574  I,  III,  0.00000 


For  date     .     .232714.13    —8.58    —0.525  r  =  +  0.53157 

A.  B.  E. 

r  =      +.53157 

Tab.  X,  XIV,     faArg.I      .     .     +-01618  +0.4010  +0.0023 

XI,  "  )  +.00001  0.0000 

XII,  XV,     for  Arg.  Ill     .  >  —.18612  +7.8438  —0.0263 

XIII,  "  )  —.00003  +0.0001 


A  =  +.36161  B  =  +8.2449  E=—  0.024  =  —0.002 


log.^1      =9.55824  log.#sin£  =  log.J?    =0.91618 
Tab.  V,log.w       =1.30222   \og.g  cos  £  =  log.  nA  =  0.86046 

"        log.w      =1.66353  lo£.  tan  G  =  0.05572  G  =  48°  39/9 

"        log.  mA  =  1.22177  lo^.sin  (?  =  9.87556      log.  g  =  1.04062 

mA  =+16^664  f**mA-\-E     =  +  16^640  =  +  ls.109 


losr.  C       loq-.  D         log.  h  II          log.  i 

Tab.  XVIII,  XIX,  for  Arg.  I.      0.82787      1.28068w     1.30612      160°  34X.7     0.4653 

If  it  is  desired  to  include  in  A  and  B  the  terms  of  short  period,  depending  on  ([  and 
<L  —  /',  and  other  small  terms  of  nutation,  we  have 

A.  B. 

Tab.  XVII,  for  Arg.  IV     ....  —.00353             —  0//.0434 

"  "   Arg.  V      ....  —      131 

Tab.  XXXVI  for  Arg.  I   .....  —          8                          17 

"  "    Arg.  VI     .     .     .     .  +        24             +          18 

"  •'   Arg.  VII  .     .     .     .  +          5 

"  "   Arg.\lll      ...  —          7 

4<  "   Arg.  IX     .     .     .     .  +          7             —          12 

"  "    Arg.  X      ....  —          7             —          17 


Corrected  A  =  +.35691      B  =  +8.1987 

2.  Required  for  1848,  April  7,  10h,  Greenwich  mean  time,  the  logarithms  of  A,  B,  C, 
and  I),  and  E,  omitting  the  terms  of  short  period  and  small  terms  in  A  and  B. 


xur 


Tab.  VI,  for  1848      .     .     . 

II,  III,  IV,  for  April  7,  10h    . 

I,  for  Greenwich 

VII,  —.000,61  X  1.7 


I. 

cl 

2.128 
97.417 

-  0.214 

-  0.001 


IL 

d 

2.6 
97.4 

—  0.2 


—  Period 


III. 

+3307.17 

97.42 

—       0.21 

—6798.39 


+6.00135 
+0.26672 
—0.00059 


Arguments  at  date 


99.8      —3394.01 
log  C.        log.  D 


0.26748 
E 


....          99.330 

A  B 
r  =       .26748 

Tab.  X,  XIV,  XVIII,  for  Arg.  I.  —.01206  —0.4475    1.25083w    O.S0536w    —0.0020 

XI,  for  Arg.  I 00000  0.0000 

XII,  XV,  for  Arg.  Ill   .     .—.00166  +9.3128.                                       —0.0003 

XIII,  for  Arg.  Ill     ...  —.00000  0.0000 


+.25376    +8.8653  —0.0023  I 

Logarithms 9.40442      0.94769    1.25083^    0.80536« 

3.  Required  the  apparent  place  of  y  Virginis  for  its  upper  transit  at  Berlin,  March  23, 
1869. 

1869,  March  23. 

Table     I,     for  Berlin        .  d'  =  —    0.251 

VI,     for  1869  A/  =  +    0.406 

Arg.  for  col.  Mean  day  in  Tab.  XXIV,  March     23.155 

For  a  <  18h  40m  and  date  before  £   *  Mean  Sun,          +     1. 
Arg.  for  col.  Sidereal  day  in  Tab.  XXIV,  -  March     24.155  =  83.155 

From  either  argument*  we  find 

T  =  +  0.3155;     for  interpolation  of  A0a  and  A0o. 
T'  =  _  0.1685,         «  "  A0«  and  A0£. 


Table  XXII,  ^  Virginis,  1869.0, 
Table  XXIV,  J 

Apparent  place 


A 


«0  =  12   13   12.274 
,a   =  +1.945 

a    =  —0.768 

a'  =  12  13  13.451 


O 


=  +  03  41.82 
=  —12.69 

=  +  5.36 


<?'  =  +  0  3  34.49 

The  Berlin  mean  time  of  transit,  from  Table  XXIV,  is  March  23.50,  for  which  from 
Table  XVI,  Arg.  IV  =  10d.2,  Arg.  V  =  25d.4.  With  these  we  may  take  from  Tables 
XXXI  —  XXXIV, 

A'^a  =  +  0.012  A'^d  = —  0.08 

A'^'a  =  —  0.002  A'^  =  +  0.01: 

but  these  terms  of  short  period  are  usually  neglected. 

4.  Required  the  apparent  place  of  X  Ursae  Minoris  at  its  lower  transit  at  Greenwich, 
!  Nov.  1,  1877. 

1877,  Nov.  1. 

Table     I,     for  Greenwich  df  =  —  0.214 

VI,     for  1869  &'  =  +  0.469 

For  a  >  6h  40m  and  date  after  £   *  Mean  Sun,  +1.5 

Arg.  for  col.  Sidereal  day  in  Table  XXIV,  Nov.  2.755  ==  306d.755 

T  =  —  0.3245,     for  interpolation  of  A0«  and  AQ<5  from  Nov.  6, 
=  +  0.0675,         "  «  An«  and  A  a  d  from  300d. 


Neglecting  decimals  in  the  column  Mean  day. 


XV 


From  Table  XXIV  we  have 


8  // 

|  For  Nov.  6  A0a  =  —  69.24  A0<5  =  +  20.63 

.7  X  (—  5fl.70)  =  —    3.99  .7  X(—  .83)  =—      .58 

T  X  (—  13S.22  +  Os.40  X  J  T)  =  +    4.31  TX  (—  .33  —  .54  X  %T)  =  +      .08 

i  T3  X  Os.33  =          0.00  i  T3  X  .00  .00 

For  date  A0«  =  —  68.92  AQ<5  =  +  26.13 

For  1877,  300d.  AQa  =  —  23.42  AQ<?  =  —    5.38 

TiX(—  -92  +  .18XJTO  =  —    0.06  ^  X(+.61+.03X  J2\)=  +      -04 
For  <late                                         A«  =  —  23  48  AcS  =  —   5.34 


O  —  3  2  <C  d 

Tables  XXVII,  XXVIII.  for  1877            733                     824  8.02 

XXVI,  XXIV,      Nov.  2.  8            793                     883  306.76 

—  Multiples  of  periods               —  1000               —  1000  —  301.34 

Artfs  at  date                                                     526                      707  13.4 

Table  XXIII,     /Ilrs.  Min.  1877.0,         «0=  19  47  15?84         £0=  +  88  56     9J5 

XXIV,  A0«  =      —1     8.92  AQr5  =  +26.13 

«  AQ«  =      —    .23.48  An<J  =  —  5.34 

XXV,  —  OM1X.49  =      —       0.05  —0".05X.  49=—  0.02 

XXVII,  for  O  +  &  =  526  —       0.10  —  0.01 
<••              «   o  —  3  =  707                      +       0.01  0.00 

XXVIII,  "  Arg.  2d:  =  13.4  —       0.18  —0.07 
Apparent  place                                 a'  =  19  45  43.12       o'o=  +  88  56  29.84 

The  Greenwich  mean  time  of  the  lofrer  transit  is  Xov.  1.73,  for  which  we  should  find 
the  sum  of  the  small  terms  in  Table  XXXVI  to  be  only  —  08.008  in  11.  A.  and-j-0".002 
in  Deo. 

5.  What  is  the  mean  place  of  V1  Draconis  for  1755.0,  or  105  years  before  1860? 

h       m          s  o        /        // 

Table  XXI,     for  1860.0,  a  =  17  44  26.134  8  =  +  72  12  59.31 

—  10o(An.Var.  —  ^  Sec.  Var.),  +  1  54.942  +  2  41.66 

—  II?  X  Os.000002*,  0.023 

For  1755.0  a  =  17  46  21.053  o  =  +  72  15  40.97 

FORMULA  USED  IN  THE  CONSTRUCTION  OF  THE  TABLES. 

Many  of  the  formulae  used  in  the  construction  of  the  tables  have  been  given  in  the 
preceding  pages.  Others,  however,  could  not  be  conveniently  introduced. 

Table  VI.     From  HAXSEX  and  OLTJFSEN'S  Tables  du  Soldi,  Intr.  p.  12,  we  have  for 
Paris  mean  noon  of  Jan.  0  in  a  common  year,  Jan.  1  in  a  bissextile  year, 
Arg.  I  =  1.905307  —  J  r  +  0.00721714  (if  —  1850)  +  0.00000003101  (V  —  1850)2, 
Arg.  V  =  2.3470  +  0.0053032  (f  —  1850.) 

i'  being  the  entire  number  of  the  year,  and  r  the  remainder  after  its  division  by  4. 
From  PEIRCE'S  Talks  of  the  Moon,  Intr.  p.  5,  we  have 

&  =  13  55'  52.6  —  190/.63366070  i  +  6.0355  -^  +  2/.3744j^, 

in  Avhich  i  denotes  the  number  of  mean  solar  days  from  1801,  Jan.  0  Oh,  mean  time  of 
Washington.     From  this  we  readily  find 

Avg.  Ill  =  —  263(l.OS38  +'i  —  6798d.37965  n  —  Oll.001463  nz, 

n  denoting  a  whole  number,  so  taken  that  Arg.  Ill  may  be  numerically  less  than  3399d.2, 
or  half  the  period. 


The  value  of  100  C  in  GOULD'S  Standard  Places,  page  6. 


XVI 


According  to  BESSEL  (Astronomisclic  Naclmcliten,  No.  134,)  the  mean  longitude  of 
the  sun  for  mean  noon  of  Paris  of  Jan.  0  in  common  years,  Jan.  1  in  bissextile  years, 
of  the  year  1800  -|-  t  is 

279°  54'  1".36  +  27".605844  t  +  0".0001221805  £2—  14'  47".OS3/, 
where/  denotes  the  remainder  after  dividing  t  by  4,  and  the  mean  daily  motion  of  the 
sun  is  59'  S".3302.     Whence  for  mean  noon  of  Washington, 

/;    =  _|_  git  59m  Os  o  _j_  llm  ]2s.i879S  t  +  Os.002975  tz  —  6h  X  /. 

/y  =  4.  Od.l  1944447  +  Od.0077799535  t  +  0(1.000000034433  t2  —  %f. 

k"  =  +  Qy.00032703  +   0>r.000021350  £  —  <)y.OOOG8448/. 
Table  XVI.     From  PEIRCE'S  Talks  of  the  Moon  we  also  have 

/  " 


=  107  55  40.5  -f  47435.0280S897  i  +    s59S  ~  +    36483 


P=266     451.3+      401.05783886  i  —  27.217^—  13.750 


whence 


<£  —  P  =  201  50  49^2  +  47033/.97025011  i  +  3&81§^-f  17:398  j£-6 

Arg.  IV  =    8.d19101  +  *  —  13d6607909  n  +  0,033826  ^ 
Arg.    V  =  15.4493    +  i  —  27.5545524  n  -f  0.57815    IjL. 

in  which  i  denotes  the  number  of  mean  days  from  Washington  mean  noon  of  1801,  Jan. 

0,  and  n  is  a  whole  number  denoting  in  each  case  the  number  of  entire  periods  of  the 

argument. 

Table  XXXV.     From  the  preceding  values  of  Q?  Q>  an(l  F'  are  derived, 

a  a 

Arg.      VI  =      91.SOO  +  i  —  .  177.84380  n         for  terms  in  2  Q  —  & 
Arg.    VII  =      82.753  +  i—    173.  31004  n  «         2(Q  —  8) 

Arg.  VIII  =      15.783  +  i  —    205.89262  n  "         2  (O  —  *  '') 

Arg.     IX  =    573.790  +  i—  1305.4655    n  "         2  P—  Q 

Arg.       X  =  2388.412  -j-  i  —  3231.455      n  "         F 

in  which  i  is  reckoned  from  the  same  epoch  as  before. 

Tables  XXI—  XXVIII. 

ON  THE  DERIVATION  AND  REDUCTION  OF  PLACES  OF  THE  FIXED  STARS, 
By  Mr.  G.  W.  HILL,  Assistant  in  Nautical  Almanac  Office. 

The  co-ordinates  of  the  stars  are  affected  by  three  distinct  causes;  first,  by  the  motion 
of  the  earth's  axis  and  the  equinox,  which  produces  precession  and  nutation  ;  second,  by 
the  motion  of  the  star  itself  and  of  the  solar  system  in  space,  the  combined  effect  of  which 
is  denoted  as  proper  motion;  third,  by  the  motion  of  light,  the  effect  of  which  is  called 
aberration. 

1.  Let  us  first  consider  the  effect  of  precession  alone.  If  a  and  3  denote  the  right 
ascension  and  declination  of  a  star  at  any  time,  its  rectangular  co-ordinates  will  be,  its 
distance  being  assumed  as  unity, 

x  =  cos  5  cos  «,  ^ 

y  =  cos  <5  sin  a,  >  (1) 

z  =  sin  8.  ,  ) 

To  pass  to  any  new  system  we  shall  have  the  known  equations 

yf  =  ax    -}-b?/    -|-  czj  ) 

y'  =  a'x  +  ////*  +  dz,          \  (2) 

z1  =  a"x  +  V'y  +  c"z.         ) 

But  in  the  case  where  we  wish  to  obtain  the  differentials  of  xt  «/,  z  for  an  infinitesimal 
time  tU,  a,  &',  and  c"  are  each  unity,  being  the  cosines  of  angles  infinitely  small;  and  all 
the  other  constants  will  contain  d£  as  a  factor.  Hence  we  mav  write 


XVII 


dx 

dt 


% 


(3) 


The  equation  o?-f  y*-{-  zz  =  1,  gives  us  re^—  -[-#  ^4"^  TT  ==  0-     Substituting  in  this 
•j  dr         cii/         etc 

the  above  values  of  -JT,  4^-?  there  result  these  three  equations  of  condition  between  the 
six  remaining  constants, 


Hence 


I  -fa'  =o, 
c  -f  a"  =  0, 
cf  -f  b"  =  0. 


(4) 


(5) 


It  belongs  to  Celestial  Mechanics  to  deduce  the  values  of  the  three  remaining  coef- 
ficients of  these  equations.  When  precession  alone  is  considered  cf  =  07  and  —  b  and  —  c 
are  the  quantities  m  and  n,  whose  values  have  been  previously  given.  Thus  we  have, 
the  unit  of  t  being  one  year, 


j- 


(6) 


If  the  values  of  #,  y,  and  «  are  now  substituted  in  these  equations  we  readily  find  that 
=  m  -\-  n  sin  a  tan  d. 


dd 

=  n  cos  a. 
dt 


(7) 


Differentiating  these  and  always  eliminating  -    and  -  by  means  of  the  primitive  equa- 


tions we  obtain 
d2« dm  ,  w 

— -  =  —  mn  sin  o-|-—  cos  a  —  n2  sin2  a  tan  3- 

i  ^=^2+J»m2cos2a+3w^sin2a 
dt          <-  ctf 


^sin  a  +  mn  cos  a  ~\  tan  *  +  »2  sin  2  atau2<S; 

dc 


+  5  3  ;«w2  cos  2  «  +  3  w  ^  sin  2  a  I  tan2  <J 
(  dr  ) 

+  2  «3  sin  a  (  1  +  2  cos  2  a)  tan3  o, 


n  sm  a  w  cos  a 


d3^  /*rt      dw   i      dm\  . 

3  =  —  (          A~*~Af  )  sm  a  — 

—  j  §  wiw2  sin  2a+  3  w  -^  sin2  a  1  tan  (5  —  3  w3  sin2  a  cos  a  tan2  3. 


(7) 


XV111 


The  right  ascension  and  declination  of  a  star  so  far  as  regards  precession  are  then  found 
by  the  formulae 


2.  Let  us  next  consider  the  effect  of  proper  motion.     If  the  values  of  -^-  and  -—  for 

dt          (\t 

anv  star  are  obtained  from  observation  for  a  certain  epoch,  we  may  compute  the  functions 
m  L|_  n  sin  a  tan  <J,  and  n  cos  «,  and  subtract  them  from  these  quantities;  the  remainders 
/j.  and  //  are  the  effect  of  proper  motion  in  right  ascension  and  declination  at  that  epoch. 
But  to  deduce  the  values  of  /JL  and  //  for  any  time  in  general,  we  may  adopt  the  assump- 
tion that  the  proper  motion  is  uniform  on  the  arc  of  a  great  circle,  and  on  this  supposi- 
tion derive  the  rigorous  values  of  the  differential  coefficients  of  a  and  d  with  respect  to 
the  time. 

Considering  now  the  effect  of  proper  motion  only,  let 

p  denote  the  velocity  of  the  star's  motion  on  the  arc  of  a  great  circle, 

£,  the  angle  of  position  of  this  arc, 

a'  and  <5J  the  right  ascension  and  declination  of  the  star  at  the  end  of  the  time  t. 

The  consideration  of  the  spherical  triangle  formed  by  the  pole  of  the  equator  and  the 
two  positions  of  star?  will  give  these  equations 


i 


sin  &'  =  sin  d  cos  p  t  +  cos  d  $\n  p  t  cos  £, 

cos  <5'  cos  («'  —  «)  =  cos  d  cos  />  £  —  sin  d  sin  />  £  cos  £,  •  J>  (9) 

cos  <5y  sin  (a'  —  «)  =  sin  />  £  sin  £. 

Eliminating  p  and  ^  by  means  of  the  equations 

p  sin  y  =  /.t  cos  <5,  /?  cos  /  =  //, 

we  derive  from  the  first  and  third  of  the  preceding  equations  the  following  values  of 
a'  and  <5'  in  series  arranged  according  to  the  powers  of  t: 

a'  =  a  +  fji  t  +  11  (j/  tan  d.  t*—$  |>3  sin2  8  —  <j.  ;/2  (1  +  3  tan2  d)]  P  +  &c. 
d'  =  d  +/J.'t  —  ±/j?  sin  2  d.  p  —  ^fJ?^(i  +  2  sin2  d)  P  +  &c. 

3.  In  order  to  have  the  combined  effect  of  precession  and  proper  motion,  a1  and  o' 
should  be  substituted  for  a  and  d  in  the  series  which  give  the  effect  of  precession.  Hence 
we  obtain 

_^  =  m  +  n  sin  a  tan  d  +  //,  J 

__=          *-r/«; 

and,  PL  and  /z'  being  considered  as  variable  quantities, 

-  ^  =:  n  /j.  cos  a  tan  J  +  w  /JL'  sin  a  sec2  <5  +  2  /*  //'  tan  5  7 

— TT  =  —  w  /x  sin  a  —  ^  /jt2  sin  2  ^.  ^ 

By  differentiating  the  values  of  (-~  and  ~,  and  eliminating  -^,    -^-,    --'^  and  iA,  bv 

d#         dr  dr    dr     d^  d£ 

means  of  their  values  just  given,  we  obtain 


XIX 


|  —  sin  a  -(-  (m  +  2  ,u)  w  cos  a  +  2  ,a  //  j  tan  <J 
-|-  2  w  sin  a  (n  cos  a  -(-  //)  tan2  o  ; 


+  f  w    ?  an  2  a  —  2  /t3  sin8  * 
(2  n2  —  m2  —  6  /^2  -f-  6  .a72  —  3  w  /t  +  3  «2  cos  2  a)  n  sin  a 


dt  d£  df 

C  6  fj.  ,u'2  +  3  d-  ,u'  sin  a  -|-  (12  /*  -f-  3  TO)  n  ^  cos  a 
dn     d/! 


(13) 


-\-  |  (2  M2  +  6  fjLA)  n  sin  a  +  6  n2  <jf  sin  2  a  +  4  w3  sin  a  cos  2  a  | 

—  n  J^L  sin  a  —  w3  sin2  a  cos  a  —  3  n2  //  sin2  a  —  2  /a2  //  sin2<<J 

+  3  n  —  sin2  a  >  tan  5 

—  3  w2  (w  cos  a  -f-  /*')  sin2  a  tan2  <5. 

The  values  of  a  and  #  computed  by  means  of  Maclaurin's  theorem,  using  the  above 
values  of  the  differential  coefficients,  will  give  the  mean  place  of  the  star. 

For  the  epoch  1860,  by  substituting  the  proper  numerical  values  of  m  and  n,  from 
Table  V,  expressing  —?,    -— ^  and  /*  in  seconds  of  time,  — ,    — -^  and  \jf  in  seconds  of 

Clt        QC  Q-t       (it 

arc,  and  denoting  that  the  logarithm  of  the  number  is  expressed  by  writing  it  in  [         ], 
we  have  the  formulae 

—  =  38.071960  +  [0.1261427]  sin  a  tan  d  +  //, 
100  d^  =  08.003221  —  [6.63378]  (^  —  A+  [7.987S09]{^-f  A 


+  [6.811718]  +  /^/     sin  a  sec2  d  +  [6.9866]  ,a  //  tan  J, 


^_    =[1.3022340]  cos  a 


=  —  [6.63378]  ^  —  /.A—  [9.  163900  /  da  +  /Asin  a  —[8.7367]  AHI  2  (5 

^QC  >  X^^dt  ^ 


(14 


100 

Qt  ^QC  > 

By  these  formulae  the  quantities  in  Table  XXI  have  been  computed. 
The  last  term  of  -J^  and  also  that  of  —  1  are  nearly  always  insensible. 

O.t  QC 

The  above  expressions  for  —  ^  and  —  ^  are  too  complicated  for  use  in  computation  j  hence 

if  their  values  are  wanted,  it  will  be  much  easier  to  compute  the  values  of  the  second 
differential  coefficients  for  50  years  before  and  after  the  epoch,  and  divide  the  differences 
of  these  by  100  for  the  values  of  the  third  differential  coefficients  at  thp  epoch. 
4.  We  have  next  to  consider  the  effect  of  nutation.     Resuming  the  equations  , 


After  line  JO,  insert 

IL  =s  —(jn-^u)  n  sin  a  -J-  J?  cos  a  —  4  (£  sin  2  6  —  n2^in5  a  tan  6 


XX 


(5) 


putting  for  x,  y  and  z  their  values  from  (1)  in  terms  of  a  and  <57  and  writing  A  a  and  A<5 

instead  of  —  and  —  we  obtain 
at         at 

Aa  =  —  b  —  c  sin  a  tan  d  -|-  c'  cos  a  tan  d}  )  /.. ,.\ 

A<5  =  —  c  cos  a  —  c'  sin  a.  J  *     ' 

We  may  make 

*=— w^'  — J?,  ) 

C-W— »4',  £  (16) 


where  B  and  E  denote  the  same  quantities,  as  on  pages  iv  and  v,  and  A'  is  the  quantity 
A,  with  the  term  r  omitted.     Then 

A«  =  (m  -\-  n  sin  a  tan  d)  A1  -f-  B  cos  a  tan  d  -(-  JEJ,  )  ,..  „, 

A  <5  =  A'«  cos  a  —  J5  sin  a.  j 

These  formula3  give  the  effect  of  nutation  when  terms  multiplied  by  the  squares  and 
products  of  A',  B  and  E  are  neglected. 

The  following  formulae  contain  those  which  involve  the  squares  and  products  of  A' 
and  B,  still  neglecting  the  square  of  E  and  its  products  with  A'  and  B  as  of  no  moment : 


We  have  from  (17) 

-I-—  =  m  -|-  w  sin  a  tan  #; 

d.-o. 

d.Aa  . 

—      ==  cos  a  tan  o. 
cLB 


=  M  cos  a 


sm  a. 


(18) 


(19) 


Differentiating  these  again  with  respect  to  A'  and  J5;  and  eliminating  T-?^    -r^L  &cv 


which  are  the  same  as  —  ___f/,    5z  _  ^?  &cv  we  obtain 


d2.A« 


=  —  sm 


cos  a  tan  d  -j-  w2  sin  2  a  tan2  5, 


d2.Aa 


d2.A« 


(20) 


=  w  cos2  a  -j-  w  cos  2  a  tan2  <S  —  m  sin  a  tan  fl 
-=  —  J  sin  2  a  —  sin  2  a  tan2  <?7 
vt  '"^     =  —  mn  sin  a  —  n2  sin2  «  tan  ^, 

/12    /\  ^  AQ 

.    '   .  ..  = sin  2  a  tan  <5  —  m  cos  a, 

(Ll'ao  2 

—TTjt      =' — cos2  a  tan  d. 

It  will  be  sufficient  to  retain  in  A2a  only  the  terms  multiplied  by  tan2  d,  and  in  A2£ 

those  multiplied  by  tan  o;  and  to  put  A!  ===  — .  0.34236  sin  $  = sin  Q,  and 

B  =. —  9//.2235  cos  Q  =  — u  cos 


Thus  we  get 


XXI 


A2a  =  [^-  cos  2  a  sin  2  £  —  !—  t^  sin  2  a  cos  2  £  1  tair  (?, 

>  •> 

2<?=^  —  fusing  a  sin  2  £  +  (-  -  +  ^t-  cos  2  a^cosSQ  1  tan  5.     I 


Hence  if  we  put,  as  on  page  v 


a  =  j1^  (m  -{-  n  sin  a  tan  <5,)  a1  =  n  cos  a,  > 

6  ==  y1^  cos  a  tan  <5,  If  =  —  sin  a,  I 

the  formulae  for  the  whole  effect  of  nutation  will  be 


+  [Os.0000103  cos  2  a  sin20—  Os.0000107  sin  2  a  cos  2  Q]  tan2  <J. 
A  j  =  «/,!'  +  Z/£ 

—  [0".000077  sin  2  a  sin  2  $-)*.(  0".000023  +  0".000080  cos  2  a)cos  2  £  ]tan  5. 

5.  The  effect  of  aberration  is  next  to  be  considered.  If  a'  and  of  denote  the  right 
ascension  and  declination  of  the  star  as  affected  by  aberration,  while  a  and  o  denote  the 
same  unaffected  by  aberration,  and  -±-,  —  —  and  —  -  denote  the  velocity  of  the  earth  pro- 

Clt       Qt  (It 

jected  on  the  three  axes  of  equatorial  co-ordinates,  and  Jc  denote  the  velocity  of  light, 
we  have,  -K7  being  a  fictitious  distance  to  be  eliminated, 


'  COS  8'  COS  a'  =  COS  d  COS  a  -J-  •—  ----, 

K      CiC 


<5X  sin 


in  ax  =  cos  d  sin  a  -f-  —  -  ——  , 

lu        (\t 


o  1     d-ZT 

=  sm  o  -[-  - — — . 

K     (It 

Whence  are  derived 


.(24) 


os  V  sin  (of  —  a)  =  —  4  f?  sin  a  —  4r  cos  a  1  > 
/c  L  "^  "^ 

(57  cos  (a7  —  a)  =  cos<5  +  l.r^cosa  +  ^sin 
A'  L  at  ar 

T?/  •    /v        *\  1  fd^   •    i  i    dr   .     ,    .  dZ^        ."] 

/T81I1  (o7  —  o)  =  —  -^  I  -r-  sin  <5  cos  a  -|-  _  -  sin  o  sin  a  —  -—cos  o  I 


J^OOS  (^  —  J)  =  1  +  -1  T^cos^cosa  +  ^Jcos  (5  sin  a  +  —sin 
/i/       clr  GC  ut 


i  rax  .         ar 

" 


(25) 


from  which,  to  quantities  of  the  second  order,  we  have 


X 
A/'   \    (It  (It  dt 

(^-f-cos  d  cos  a  -4-  L_  cos  o  sin  a  -f-  -—  sin  o    J 
d^  d^  (U          y 


(26) 


XX11 


If  r  is  the  radius  vector  of  the  earth,  and  w  the  obliquity  of  the  ecliptic, 

X  =  —  rcosQj  } 

Y  =  —  r  sin  0  cos  w,  v  (27) 

Z  =  —  r  sin  Q  sin  w.  ) 

And,  if  e  denote  the  eccentricity  of  the  earth's  orbit,  Tthe  longitude  of  the  solar  perigee, 
and  n  the  mean  sidereal  motion  of  the  sun, 


c!0  an       M  ._:      „,  K28) 

r-W  ' 

Whence  we  derive 


an 


s  O  +  e  cos  T], 
dZ 

—  =  — 77T— 9\  Sm  W  [COS  O  +  e  COS . 

at 


By  substituting  these  values  in  the  expressions  (26)  for  a'  —  a  and  d'  —  3,  making 


an 


2v  =  *?  and  omitting  the  terms  which  are  independent  of  Q,  we  have 

a.1  —  a  =  —  x  sec  d      [sin  a  sin  O  +  cos  a  cos  w  cos  O  ] 

x2 
sec2  <5  [(1  -(-  cos2  a*)  sin  2  a  cos  2  Q  —  2  cos  w  cos  2  a  sin  2  Q], 

8'  —  o  =  —  x  [sin  d  cos  a  sin  O  —  (cos  w  sin  ^  sin  a  —  sin  10  cos  <5)  cos  O] 

1.  tan  <5  [  ((1  +  cos2  w)  cos  2  a  —  sin2  «>j  cos  2  O  ~h  2  cos  w  sin  2  a  sin  2  O  J- 

In  these  formulae  terms  multiplied  by  x2  e  have  been  neglected,  as  also  the  terms  in  j 
<5X  —  £  multiplied  by  x2  which  are  not  also  multiplied  by  tan  d.     Substituting  for  x 
STRUVE'S  value  20/7.4451,  these  formulae  become 


a'  —  a  =  —  20X/.4451  sec  d  [sin  a  sin  Q  +  cos  a  cos  w  cos  Q] 

—  0//.0009329  sec2  o  sin  2  a  cos  2  O 
+    0//.0009295sec2<Scos2asin2O, 

<5X  —  d  =  —  20". 4451  sin  £  cos  a  sin  Q 

+  20". 4451  cos  O  [sin  ^  sin  a  cos  </;  —  cos  d  sin  w] 

—  0//.0004648  tan  d  sin  2  a  sin  2  Q 

+  [0".0000402  —  0".00046G5  cos  2  a]  tan  d  cos  2  Q. 


(30) 


6.  The  values  of  a,  fl,  Q  and  ^  to  be  employed  here  are  those  affected  by  nutation. 
Hence  if  we  use  values  referred  to  the  mean  equinox  of  date,  we  must  add  to  a'  _  a 
the  terms 


andto<5'  — 


The  terms  multiplied  by  AQ  and  Aw  are  of  no  importance,  and  it  will  be  sufficient 
to  put 

A«  =  —  [b  sin  a  sin  &  +  a  cos  «  cos  &  \  tan  <J, 
Ao  =  —  Z.  cos  a  sin  ^  +  a  sin  a  cos  &, 

where  6  =  6/x.S65  and  a  =  9x/.2235. 


XXlll 


Then  the  terms,  to  add  to  a!  —  a,  will  be 

—  (b  -\-  a  cos  ID  )  sin  2  a  cos  (O 


20".4451 


and  to  d'  — 


tan  3  sec  3 


(b  cos  10  -\-  a)  cos  2  a  sin  (Q  + 
+  ( b  —  a  cos  w )  sin  2  a  cos  ( O  — 
—  (b  cos  10  —  a)  cos  2  a  sin  (0  — 


(33) 


—  (b  -|-  a  cos  w]  cos  2  a  cos  ( 0  + 

—  (b  cos  10  -|-  «)  sin  2  a  sin  (  0  -j- 
+  (b  —  a  cos  w)  cos  2  a  cos  ( 0  — 
-j-  (b  cos  ^  —  a)  sin  2  a  sin  (  0  — 
-j-  (b  —  a  cos  w)  cos  ( 0  +  & ) 

—  (£  -f-  a  cos  a>)  cos  (0  —  $ ) 

Or,  the  numerical  values  of  a,  b  and  w  being  substituted,  we  have,  as  on  page  vi,  for  the 
terms  to  add  to  a'  —  a,  expressed  in  time, 

—  0.00005065  sin  2  a  cos  (O  +  & ) 
+  0.00005129  cos  2  a  sin  ( 0  -(-  £ ) 

—  0.00000527  sin  2  a  cos  (0  —  £ 
-  0.00000966  cos  2  a  sin  (0  —  £ 


(34) 


|>  sin  d  tan  5, 


(35) 


and  to  3'  —  9  C  —  0.0003799  cos  2  a  cos  (0  + 

—  0.0003847  sin  2  a  sin  (O  -j- 

—  0.0000395  cos  2  a  cos(0  — 

—  0.0000725  sin  2  a  sin  (©  — 

—  0.0000391  cos  (0  +  £ ) 
L —  0.0003799  cos  (O  —  &) 

7.  If  now  we  make,  as  on  page  v, 

C  =  —  20".4451  cos  w  cos  ©,  ~) 

Z>  =  — 20".4451sin0, 

c   =  Jj  cos  a  sec  o, 

f?  =  -jlj  sin  a  sec  3, 

c*  =  tan  w  cos  <5  —  sin  <z  sin  3,    I 

d7  =  cos  a  sin  o,  j 

we  shall  have  the  combined  effect  of  nutation  and  aberration  on  the  place  of  the  star, 
terms  of  the  second  order  being  omitted,  by  the  formulae 

af  —  a  =  aA'  +  bB  -f-  cC  +  dD  +  E, 

3'  —  3  =  a' A'  +  VB  +  c?C  +  d'D. 

If  we  wish  to  include  the  mean  motion  of  the  star  from  the  beginning  of  the  year,  we 

must  add,  respectively,  to  these  expressions  the  terms  (a  -\-  //)  r  and  (a'  -\-  //)  r,  where 

for  a,  «x,  /A  and  ,ax  should  be  taken  their  values,  not  for  date,  but  for  the  time  -.    Ilence 

if  we  make  A'  -f-  -  =  ^1,  the  formulae  become  in  this  case, 

a'  —  a  =  aA+bB+cC+dD+E  +  ^,       )          (     } 
3'  —  3  =  a'J.  +  &'^  +  c'C  -j-  d'D  +  n'-\  ] 

and  to  our  terms  of  the  second  order  must  be  added  in  right  ascension  —  J—  r2  and  in 
declination  —  J~r:'^2;  or  better,  if  ,a  and  .a'in  the  last  two  equations  denote  their  values 

^l*  -.rt  -lO-v  tO 


(37) 


12., 


A2X 


at  the  beginning  of  the  year,  these  terms  will  be  —  J  — ^~2  an(l  —  ^  — v2  where— ^  and 
-O  have  the  values  given  on  page  xix.     Xeglectingvthe  variation  of  m  and  ft.  and  the  terms 

not  multiplied  by  tan  3  or  tan2  <?,  these  terms  of  the  second  order  are,  as  on  page  vi, 
*A  (a'  —  «)  =  +  Os.000003  r2  sin  a  tan  3 

—  Os.000149  72cosa  tan  3 

—  Os.0000650  r2  siu2«tan2  J, 

A  (^  —  3')  =  +  0/x.000975  r2  sin2  a  tan  «5. 


XXIV 


8.  In  order  that  the  subject  of  star  reductions  may  he  complete,  it  is  necessary  to 

The  corrections  of  the  riht  ascen- 


consider the  effect  of  orbital  motion  in  double  stars. 
sion  and  declination  have  always  this  form 

Aa  =  a  -\-bt  +  &  sin  (u  +  K ), 
A<S  **a*  +  Vt  +  /»/  sin  (it  +  &), 

where  u  is  derived  from  the  equation 

u  —  e  sin  u  =  n  (t  —  T). 


}          (40) 


(41) 


Construction  of  Table  XXIV. 

9.  It  will  be  convenient  to  divide  the  quantities  A  and  B  each  into  two  parts,  so  that 
=  J-O  +  AQJ  and  I?  =  BQ-\-B^  where  for  the  epoch  1870  the  values  of  A& 
o,  B  ,  J5O  are 

-40  =  T  +  [6.5942]  sin  ©  +  [7.4644]  cos  ©  —  [8.4012]  sin  2  ©,        ~) 


BQ=  —  [7.9609]  sin  ©  —  [7.2370]  cos  ©  —  [9.7410]  cos  2  ©, 

C     =  —[1.27313]  cos©, 

D     =  —[1.31059]  sin©, 

A^  =  —  [9.53457  +o.4#]  sin  £  +  [7.6128]  sin  2  £, 

•#Q  =  —  [0.96490]  cos  &  +  [8.9518]  cos  2  &, 

E^  =  —  [7.4951  — 6.6t]  sin  Q. 

And  we  write,  the  term  EQ  being  neglected, 


>(42) 


(43) 


To  AQa  and  ^Q^  are  added  the  terms  of  the  second  order  in  aberration,  given  on  pages 
xxii  and  xxiii,  and  to  A^«  and  A  ^d  the  terms  of  the  second  order  in  nutation  given  on 
page  xxi;  whenever  they  are  sensible. 

If  now  we  make 

P®  =  —  [1.31059]  d  +  [6.5942]  a  —  [7.9609]  b, 

20   =  —  [1.27313]  c  +  [7.4644]  a  —  [7.2370]  &, 

1}23  =  —  [  8.4012]  a  -f  [5.7922]  sec2  d  cos  2  «, 

ff20  =  —  [  9-7410]  b  —  [5.7938]  sec2  d  sin  2  «, 

X0  =  —  [1.31059]  d'  +  [6.5942]  a'  —  [7.9609]  ?/, 

^O  =  —  [1.27313]  c'  +  [7.4644]  a'  —  [7.2370]  Z/, 

y23  =  —  [  S.4012]  of  —  [6.6673]  tan  d  sin  2  a, 

^23  =  —  [  9.7410]  6'  —  [6.6688]  tan  (5  cos  2  a  +  [5.6042]  tan  d, 

we  shall  have,  terms  of  the  second  order  included, 


>(44) 


=1?0 


=?    sn 


cos 


3  sin  2  O  +  fe  cos  2  0  +  Cr  +  J        r 


f  A  r\ 


XXV 


Let  us  make 

^O  ^  *©  COS  K&  *}'0  =  7'©   COS 

=  £      sin  Jf  '      =  Ar'       sin 


=  *20  cos  *,©'  *'*©  =  7S©  cos  *',©, 


K46) 

*  2©  ~    '"  2©    "        "*  2©, 

The  above  equations  take  the  foxn 


10.  To  compute  the  variations  of  AQ«  and  AQ<?  in  10  years,  which  are  given  in  Table 
XXIV,  we  compute  values  of  jp0,  #0,  &c.,  for  1880,  and  subtract  from  them  the  values 
for  1870;  calling  the  remainders  #pQ,0#Q,  &c. ;  then,  certain  very  small  terms  being 
neglected,  we  have  evidently  these  equations : 

o.A^a  r=<S#       sin  O  -f-  <?^.cos0 -4-  ^5»  ~.  sin  2  O  4-  &7,rv  cos  2  O 


d.  A0«?=  ^0.  sin  O  +  dq'Q.  cos  O  +  dp'.  sin  2  O  +  <fy'.  cos  2  O 
10       -        7/     cos 


The  value  of  o  ©is  [6.0057]  sin  (O  —  15°);  substituting  this,  we  have 
8.  A     a  =      10  i^r  —  [5.7047]  7»0  sin  (JT0  +  15°)  -f-  dp^.  sin  O 
_[_  [8p n0  -f-  [5.7047 1  A-0  cos  (KQ  —  15°)]  sin  2  O 
+  [J£>0  +  [5.7047]  A'©  sin  (KQ  —  15°)]  cos  2  O, 

tf.A05  =      lOy^r  —  [5.7047]  A;X0  sin  (jfirx0  +15°)-|-<5jp'0.  sin0-f  (5^0.cos( 
_f_  [v2/2Q  +  [5.7047]  J/0  cos  (K'^—ld0)]  sin  2  0 
+  [^'20  +  [5.7047]  A/0  sin  (TT^  —  15°)]  cos  2  0. 

As  in  the  case  of  A^aandA^tf  these  quantities  can  be  made  to  take  the  form 

^  sin  (2  0 


(49) 


00  ^      n  20,        , 

'     sin  (0+  ^)  +  /ix2      sin  (2  O  +^2)-       )  (     J 


Except  for  stars  near  the  pole,  the  first  and  last  terms  of  these  equations  may  be 
neglected,  and  regard  be  had  in  computing  ^^  7  ^?0>  &cv  onbT  t°  the  variations  of  c,  d, 
c*  and  d'  in  the  formulae  forp^,  q^  &c.  Then 


11.  In  computing  A  «andA0<5,  we  may  either  suppose  &-,!£-., 7j^  and  Jf^  con- 
stant throughout  the  year,  and  afterwards  add  to  A  a  and  A ^d  thus  obtained,  the  proper 
fractional  part  of  7*0  sin  (0  -|-  I70)  and  7ixQ  sin  (0  -|-  H')  for  the  fraction  of  the  year; 
or  we  may  make  them  to  vary  from  date  to  date.  For  stars,  whose  declination  is  within 
the  limits  -Jr  65°,  there  is,  however,  no  need  to  attend  to  this  correction. 

Having  formed  a  table  of  0  for  every  10  sidereal  davs,  beginning  with  the  fictitious 
year,  we  can  readily  get  0  for  the  time  of  the  star's  transit  over  the  fictitious  meridian 


XXVI 


with  the  constant  interpolation  factor ,  and  thus  form  the  arguments  Q+1T0,  | 

240 

Terms  with  small  coefficients  can  be  most  readily  formed  by  means  of  a  Traverse  Table. 
12.  We  can  reduce  A  0  a  and  An<5  to  the  forms,  terms  of  the  second  order  included, 


AQ£  =  7/    sin  ( Q  +  K  Q)  +  fc'aQ  sin  (2  ££ 
by  making 

7^    cos^    =  —  [9.53457  +  0.4£]  a  —  Os.0031, 

A/Q  sin/fa    =  —  [0.96490]  6, 

&2Q  cosJT2a   =       [7.6128]  a  +[5.0114]  cos  2  a  tan2  S,  j>(52) 

fr2a  sin  K*     =       [8.9518]  b  —  [5.0294]  sin  2  a  tan2  d, 

7>/Q  cosJT'°    =  — [9.53457  +  0.4£]  a', 

7/Q  sin  /f'Q   =  —  [0.96490]  &', 

^  cos  K'l    =       [7.6128]  a1  —  [5.8865]  sin  2  a  tan  d, 

#2Q  sin  JT2n  =       [8-9518]  6'  —  [5.9031]  cos  2  a  tan  d  —  [5.3617]  tan  d.  '        3 

But  perhaps  it  will  be  as  well  to  adopt  the  formulae 


or, 

sin  (  G-Q  +  a)  tan 
cos  (6r^+  «) 


(54) 


Tables  A  to  E,  pages  xxx-xxxv,  give  all  the  data  needed  for  the  computation  of 
equations  (45)  to  (54),  for  the  period  embraced  in  Table  XXIV. 

13.  Table  XXVII.  For  stars  near  the  pole  it  will  be  well  to  construct  tables  giving, 
with  the  arguments  Q  +  &  and  Q  —  &,  the  values  of  small  terms  given  on  page  xxiii. 
These  will  be  most  readily  computed  with  the  aid  of  a  Traverse  Table,  when  they  have 
been  reduced  to  the  forms 


14.  Table  XXVIII.  Tables  for  A(I«  and  Ac<5  maybe  computed  in  the  same  way. 
For  by  making 

fctf   cos  K c    =  —  [7.6075]  a, 
7c«   BinKc    =  —  [8.9474]  6, 
=  _  [7.6075]  a', 
=  —  [8  9474]  b', 
these  quantities  take  the  form 

In  tabulating  these  quantities  it  will  be  better  to  make  sidereal  time  the  argument 
rather  than  d ;  and  if  they  arc  to  be  tabulated  for  several  stars,  they  should  be  inter- 
polated forwards  a  time  equal  to  a  —  18U  40m,  so  that  the  argument  may  be  the  same 
for  the  transits  of  all  the  stars  on  the  same  sidereal  day. 


XXV11 


If  these  quantities  are  tabulated  for  every  tenth  of  a  sidereal  day  throughout  the  period 
of  the  argument,  we  may  take  advantage  of  the  fact  that  this  period  is  almost  exactly 

13.7  sidereal  days,  to  arrange  the  Table  so  that  there  will  be  an  interval  of  a  sidereal 

day  between  successive  values  of  the  argument. 

Example. 

We  will  illustrate  the  preceding  formula  by  computing  A^a  and  its  Variation  in  10 

years  for  p  Hydri. 

For  1870. 

For  1880. 

a  =   ( 

)h  18ra  528.61 

Oh  19m  258.K 

; 

d  =- 

-77°  59'  14" 

—  77°  55'  52" 

log  a  = 

0.40744 

0.40538 

log  b  = 

9.49449^ 

9.49232W 

logc  = 

9.50411 

9.50202 

log  d  = 

8.42083 

8.43110 

In  this  case  it  ia  not  necessary  to  compute  the  terms  of  P9g\j  <?2/- 

-.,  &c.,  which  are  of  the 

order  of  the  square  of 

aberration,  since  they  are 

altogether  insensible.     Deriving  the 

values  of  —  and  ^  from  Table  XXI.  we  have  in 
dr          dr2 

formula  (45) 

AQGC  =  38.2594  r  —  03.0008  r2  —  08.5349  sin 

O  —  58.9794  cos  O 

478 

507 

—  08.0644  sin  2  O  +  OM720  cos  2  O 

41 

11 

The  figures  written  below  the  coefficients  are  those  which  belong  to  the  values  for  1880. 

To  facilitate  computation  we  give  to  A 

0<z  the  following  form,  in  which  the  unit  of  r  is  10 

sidereal 

davs  instead  of  a  year,  and  it  is  counted  from  the  first  transit  of  the  star  over  the 

fictitious  meridian.     This  is  done  by  substituting  .027304  r  for  r,  and  adding 

the  change 

ofA0a 

in  the  time  a  - 

-  18h  40m  or  —  Ocl.765. 

A0a  =  —  03.00681  +  08.088994  r  —  O^OOOOOOer2 

+  [0.77839J  sin  (O+  264°  53'.3)  +  [9.2639]  sin  (2Q+  H0°  31'.) 

641 

44'.4 

18 

31 

|  Also  b\ 

formula  (49) 

we  have  the  Variation  of  AQGJ  in  10  years, 

(5.A0a=4-Os.00033-Os.000439r-i-03.0315sin(O  +  114.02)  +  Os.0012sin(2O-h2790). 

From  Table  A  we  obtain  O  w^tn  tne  interpolating  factor  a  - 

-  18h  40m  =  -  Od.765, 

nnd  thus  form  the  arguments  O  +  J 

iT0,  &c.,  interpolating  K^ 

\  &c.,  to  date  by  means 

of  the  values  obtained 

for  1870  and  1880. 

Sid.  Day. 

Motion  of  O 

o. 

20. 

O+K 

O  f?\     1      V 

&  \1/    r"       2^-V 

O+Jf  • 

O 

for  _  Od.76o. 

' 

t 

0              / 

0            / 

0              / 

0           / 

0 

0 

—46.7 

279  12.3 

198  25 

184     5.6 

308  56 

33.4 

10 

46.7 

289  22.1 

218  42 

194  15.4 

329  13 

43.6 

20 

46.6 

299  31.5 

239     3 

204  24.8 

349  34 

53.7 

30 

46.5 

309  39.8 

259  20 

214  33.0 

9  51 

63.9 

40 

46.3 

319  46.3 

279  33 

224  39.5 

30     4 

74.0 

50 

46.1 

329  50.6 

299  41 

234  43.8 

50  12 

84.0 

60 

45.9 

339  52.2 

319  44 

244  45.3 

70  15 

94.1 

70 

45.7 

349  50.9 

339  42 

254  44.0 

90   13 

104.0 

80 

45.5 

359  46.3 

359  33 

264  39.3 

110     4 

114.0 

90 

45.2 

9  38.4 

19  17 

274  31.4 

129  48 

123.8 

100 

44.9 

19  27.1 

38  54 

284  20.1 

149  25 

133.6 

110 

44.7 

29  12.5 

58  25 

294     5.4 

168  56 

1434 

120 

44.5 

38  54.7 

77  49 

303  47.6 

188  20 

153.1 

130 

—44.2 

48  34.1 

97     8 

313  27.0 

207  39 

162.8 

XXV111 


Sid.  Day. 

Motion  of  O 

o. 

20. 

0  +  K  . 

20  +  ff20. 

' 

0  +  // 

for  —  Od.765. 

0 

0 

t 

0      / 

0     / 

0      / 

0     / 

o 

140 

—44.0 

58  10.8 

116  22 

323  3.7 

226  53 

172.4 

150 

43.8 

67  45.3 

135  31 

332  38.2 

246  2 

181.9 

160 

43.8 

77  18.0 

154  36 

342  10.8 

265  7 

191.5 

170 

43.7 

86  49.4 

173  39 

351  42.2 

284  10 

201.0 

180 

43.6 

96  20.2 

192  40 

1  13.0 

303  11 

210.5 

190 

43.7 

105  50.5 

211  41 

10  43.3 

322  12 

220.0 

200 

43.7 

115  21.3 

230  43 

20  14.0 

341  14 

229.5 

210 

43.8 

124  52.8 

249  46 

29  45.5 

0  17 

239.1 

220 

43.9 

134  25.7 

268  51 

39  18.4 

19  22 

248.6 

230 

44.1 

144  0.3 

288  1 

48  53.0 

38  32 

258.2 

240 

44.2 

153  37.3 

307  15 

58  30.0 

57  46 

267.8 

250 

44.4 

163  16.8 

326  34 

68  9.5 

77  5 

277.5 

260 

44.7 

172  59.2 

345  58 

77  51.9 

96  29 

287.2 

270 

45.0 

182  44.8 

5  30 

87  37.4 

116  1 

296.9 

280 

45.2 

192  33.8 

25  8 

97  26.4 

135  39 

306.8 

290 

45.4 

202  26.2 

44  52 

107  18.8 

155  23 

316.6 

300 

45.7 

212  21.9 

64  44 

117  14.4 

175  15 

326.6 

310 

45.9 

222  20.8 

84  42 

127  13.3 

195  13 

336.5 

320 

46.1 

232  22.7 

104  45 

137  15.2 

215  16 

346.6 

330 

46.3 

242  27.3 

124  55 

147  19.8 

235  26 

356.6 

340 

.  46.4 

252  33.9 

145  8 

157  26.4 

255  39 

6.8 

350 

46.6 

262  42.1 

165  24 

167  34.5 

275  55 

16.9 

360 

46.7 

272  51.5 

185  43 

177  43.9 

296  14 

27.0 

370 

—46.7 

283  1.4 

206  3 

187  53.8 

316  34 

37.2 

Sid.  Day. 

Log.  sin 

i 
Log.  &Q  sin      L°g-  sin 

_   , 

Log.  «20  sm 

Free.  -f 

(©+*©) 

(O  +  %) 

(a  °  +  K2®> 

(2Q  +  X20) 

Prop.  Mot. 

3 

0 

S.S535Sft 

9.63197ft 

9.8909ft 

9.1548ft 

—0.0068 

10 

9.39141 

.   0.16980 

9.7091 

8.9730 

+0.0822 

20 

61628 

39466 

9.2579ft 

8.5218ft 

0.1712 

30 

75368 

53206 

9.233  Ip 

8.49700 

0.2602 

40 

84688 

62525 

9.6999 

8.9638 

0.3492 

50 

91192 

69029 

9.8855 

9.1494 

0.4381 

60 

95641 

73477 

9.9736 

9.2375 

0.5271 

70 

98440 

76276 

0.0000 

9.2639 

0.6161 

SO 

99811 

77646 

9.9728 

9.2367 

0.7051 

90 

99865 

77700 

9.8855 

9.1494 

0.7941 

1(K) 

98627 

76461 

9.7065 

8.9704 

0.8831 

110 

96043 

73877 

9.2832p 

8.54710 

0.9721 

120 

91963 

69796 

9.1612ft 

8.4251ft 

1.0610 

130 

86092 

63925 

9.6666 

8.9305 

1.1500 

140 

77884 

55717 

9.8633 

9.1272 

1.2390 

150 

66241 

44073 

9.9608 

9.2247 

1.3280 

160 

48576 

0.26407 

9.9984 

9.2623 

1.4169 

170 

9.15927^ 

9.9375SW 

9.9866 

9.2505 

1.5059 

180 

8.32702^ 

9.10542^ 

9.9227 

9.1866 

1.5949 

190 

9.26960 

0.04790 

9.7874 

9.0513 

1.6839 

200 

53888 

31717 

9.5075ft 

8.7714ft 

1.7728 

210 

69578 

47407 

7.6942p 

6.95810 

1.8618 

220 

80172 

58000 

9.5206 

8.7845 

1.9508 

230 

87701 

65529 

9.7944 

9.0583 

2.0397 

240 

93077 

70904 

9.9273 

9.1912 

2.1287 

250 

96764 

74591 

9.9888 

9.2527 

2.2177 

260 

9.99019 

0.76845 

9.9972 

9.2611 

2.3066 

XXIX 


Log.  sin 

Log.  A:.^>.  sin 

Log.  sin      Log-  k^r\  sin       Prec.  -f- 

Day>   (0  +'  A0) 

(0  +  #0) 

(80+^©)   (20  +  AT,  )     Prop.  Mot. 

270     9.99962 

0.77787 

9.9536      9.2175     +28.3956 

280      99633 

77458 

9.8445      9.1084       2.4846 

290      97987 

75812 

9.6197      8.8836       2.5735 

300     .  94895 

72719 

8.918L?      8.1820?      2.6625 

310      90108 

67931 

9.4191/t      8.6830rc      2.7514 

320      83171 

60994 

9.7615      9.0254       2.8404 

330      73223 

51046 

9.9156      9.1795       2.9293 

340      58394 

36216 

9.9863      9.2502       3.0183 

350     9.33276 

0.11097 

9.9976      9.2615       3.1072 

360     8.59747j9 

9.27567p  , 

9.9528      9.2167       3.1962 

370     9.13795/i 

9.91614n 

9.8373/1      9.1012/1     +3.2851 

Sid. 

k^  sin 

k   sin 

+0*.00033 

h^.  sin 

A^Q  sin 

Var.  in 

Day. 

(0+^0) 

(20  +  ^0) 

A0«. 

+10  ^T 

(0  +  «0) 

00+ft®) 

10  years. 

8 

s 

3 

8 

8 

s 

8 

0 

—0.4285 

—0.1428 

—0.5781 

+0.0003 

+0.0173 

+0.0011 

+0.0187 

10 

1.4784 

0.0940 

1.4902 

—    1 

217 

8 

224 

20 

2.4812 

—0.0333 

2.3433 

5 

254 

+    4 

253 

30 

3.4045 

+0.0314 

3.1129 

10 

282 

0 

272 

40 

4.2194 

0.0920 

3.7782 

14 

302 

4 

284 

50 

4.9011 

0.1411 

4.3219 

19 

313 

8 

286 

60 

5.4296 

0.1728 

4.7297 

23 

314 

10 

281 

70 

5.7911 

0.1836 

4.9914 

27 

305 

12 

266 

80 

5.9767 

0.1725 

5.0991 

32 

287 

12 

243 

90 

5.9841 

0.1411 

5.0489 

36 

261 

11 

214 

100 

5.8159 

0.0934 

4.8394 

41 

228 

8 

179 

110 

5.4799 

+0.0352 

4.4726 

45 

188 

5 

138 

120 

4.9884 

—0.0266 

3.9540 

49 

142 

1 

92 

130 

4.3576 

0.0852 

3.2928 

54 

93 

+    3 

+   42 

140 

3.6072 

0.1340 

2.5022 

58 

+   42 

7 

—    9 

150 

2.7589 

0.1678 

1.5987 

63 

11 

10 

64 

160 

1.8368 

0.1829 

—0.6028 

67 

63 

11 

119 

170 

—0.8661 

0.1780 

+0.4618 

71 

113 

12 

172 

180 

+0.1275 

0.1537 

1.5687 

76 

160 

11 

225 

190 

1.1166 

0.1125 

2.6880 

80 

202 

9 

273 

200 

2.0757 

—0.0591 

3.7894 

84 

239 

6 

317 

210 

2.9790 

+0.0009 

4.8417 

89 

270 

+    2 

357 

220 

3.8019 

0.0608 

5.8136 

93 

293 

2 

388  ! 

230 

4.5216 

0.1144 

6.6757 

98 

308 

5 

411 

240 

5.1173 

0.1553 

7.4013 

102 

314 

9 

425 

i  250 

5.5707 

0.1789 

7.9673 

108 

312 

11 

429  ' 

260 

5.8674 

0.1824 

8.3564 

111 

301 

12 

424  ! 

270 

5.9961 

0.1650 

8.5567 

115 

281 

12 

408  ! 

280 

5.9509 

0.1284 

8.5639 

120 

252 

10 

382 

290 

5.7296 

0.0765 

8.3796 

124 

216 

7 

347 

300 

5.3357 

+0.0152 

8.0134 

128 

173 

—    3 

304 

310 

4.7787 

—0.0482 

7.4819 

133 

125 

+    1 

257 

320 

4.0733 

0.1060 

6.8077 

137 

73 

5 

205 

1  330 

3.2394 

0.1512 

6.0175 

142 

—   18 

8 

152 

340 

2.3023 

0.1779 

5.1427 

146 

+   S7 

11 

98 

350 

1.2911 

0.1826 

4.2157 

150 

91 

12 

—   47 

360 

+0.2875 

0.1647 

3.2690 

155 

143 

12 

0 

370 

! 

—0.8244 

—0.1262 

+2.3345 

—0.0159 

+0.0190 

+0.0010 

+0.0041 

XXX 


TABLE  A. 

The  sidereal  days  are  reckoned  from  the  beginning  of  each  fictitious  year. 

O 

Sid.  day. 

r 

Sid.  days  of 
fictitious"  year. 

Q 

Sid.  days  of 
fictitious  year. 

Q 

1800. 

18TO. 

1880. 

0        /           // 

n 

n 

y 

0       /       // 

0         /       " 

1  —  10 

269  48  87.8      67.8 

47.9 

—0.02730 

1865 

0 

216    6  15 

1873 

0 

61  22  36 

+  o 

279  5rt  78.7 

53.2 

37.6 

0.00000 

100 

210  49  24 

100 

56    5  45 

10 

290    871.8 

51.2 

30.5 

+0.02730 

200 

205  32  32 

200 

50  48  53 

20 

300  17  89.0 

63.0 

49.0 

0.05461 

300 

200  15  41 

300 

4  :>  32    2 

30 

310  25  94.5 

75.8 

57.0 

0.08191 

400 

194  58  50 

400 

40  15  11 

40 

320  32  54.0  j    37.1 

20.2 

0.10922 

1866 

0 

196  45  47 

1874 

0 

42    2    9 

50 

330  36  58.0  1     43.5 

28.9 

0.136.V2 

100 

191  28  56 

100 

36  45  17 

60 

340  37  80.9  I    69.3 

57.6 

0.16382 

200 

186  12    5 

200 

31  28  26 

70 

350  36  43.3  |    34.8 

26.3 

0.19113 

300 

180  55  14 

300 

26  11  35 

80 

0  31  51.5 

46.3 

41.1 

0.21843 

400 

175  38  22 

400 

20  54  44 

90 

10  23  37.7 

36.1 

34.4 

0.24574 

1867 

0 

177  25  20 

1875 

0 

22  41  42 

100 

20  12    0.6 

2.5 

45 

0.27304 

100 

172    8  29 

100 

17  24  50 

110 

29  57    4  8 

10.2 

15.7 

0.30034 

200 

166  51  38 

200 

12    7  59 

1-20 

3939    0.6 

9.3 

18.0 

0.32765 

300 

161  34  46 

300 

6  51    8 

130 

49  18    3.0 

14.7 

26.5 

0.35495 

400 

156  17  55 

400 

1  34  16 

140 

58  54  31  .9 

46.3 

60.8 

0.3S225 

1868 

0 

158    4  53 

1876 

0 

3  21  14  ; 

150 

68  28  50.6 

67.3 

81.0 

0.40983 

100 

152  48    2 

100 

338    4  23  i 

1(50 

78    1  26.  1 

44.6 

63.2 

0.43686 

200 

147  31  10 

200 

352  47  31  i 

170 

87  3247.0 

669 

86.9 

0.46417 

300 

142  14  19 

3UO     347  30  40  ! 

180 

97    324.8 

45.4 

66.1 

0.49147 

400 

136  57  28 

400 

342  13  49  j 

190 

106  33  50.5 

71.3 

92.2 

0.51877 

1869 

0 

138  44  26 

1877 

0 

344    0  47 

200 

116    436.9 

57.3 

77.8 

0.54608 

100 

133  27  34 

100 

338  43  55 

210 

125  33  14.8 

34.3 

53.9 

0.57338 

200 

128  10  43 

200 

333  27    4  i 

220 

135    915.1 

352 

51.4 

0.60068 

300 

122  53  52 

300 

323  10  13  I 

230 

144  44    6.1 

22.3 

38.5 

0.62799 

400 

117  37    0 

400 

322  53  22  1 

240 

15421  13.9 

27.7 

41.5 

0.65529 

1870 

0 

119  23  58 

1878 

0 

324  40  20  i 

250 

1(14    1    0.8 

11.8 

22.8 

0.63259 

100 

114    7    7 

100 

319  23  28  i 

260 

1734345.6 

53.5 

61.5 

0.70990 

200 

108  50  16 

200 

3  14    6  37  j 

270 

1832941.9 

46.6 

51.3 

0.73720 

300 

103  33  24 

300 

303  49  46  i 

280 

193  18  59.2 

60.2 

61.3 

0.76451 

400 

98  16  33 

400 

303  32  54 

290 

203  11  39.7 

37.2 

34.7 

0.79181 

1871 

0 

100    3  31 

1879 

0 

305  19  52 

300 

213    740.6 

34.5 

28.5 

0.81911 

100 

94  46  39 

100 

300    3     1 

310 

223    652.9 

43.4 

34.0 

0  84642 

200 

89  29  48 

200 

294  46  10  i 

3-20 

233    860.9 

48.4 

36.0 

0.87372 

300 

84  12  57 

300 

289  29  18  i 

330 

243  13  43.9 

285 

132 

0.90102 

400 

78  56    5 

400 

234  12  27 

340 

253  19  94  7 

77.2 

59.7 

0.92833 

1872 

0 

80  43    3 

1880 

0 

285  59  25 

350 

263  28  62.8 

43.5 

24.2 

0.95563 

100 

75  26  12 

100 

280  42  33  i 

3(50 

273  37  93  2 

73.0 

52.8 

0.98294 

200 

70    9  21 

200 

275  25  42 

370 

283  47  89.5 

68.7 

47.9 

1.01024 

300 

64  52  29 

300 

270    8  51 

380 

29.)  57  73.5 

53.0 

32.5 

+1.03754 

400 

59  35  38 

400 

264  52    0 

1 

XXXI 


TABLE  B. 

The  sidereal  days  are  reckoned  from  the  beginning  of  each  fictitious  year. 

Sid.  day. 

lOg.    AQ. 

log.  #0.                           log.  C. 

.  log.  D. 

1870. 

1870. 

I860. 

1880. 

I860. 

1880. 

—  10 
0 
+  10 
20 
30 

—8.44493 
+7.94052 
8.64572 
8.89042 
9.03495 

+9.7480 
9.7213 
9.6315 
9.4430 

+8.9692 

+8.75956 
—0.51230 
0.81036 
0.97612 
1.08517 

+8.78615 
—0.51182 
0.81013 
0.97598 
1.08508 

+1.31059 
.30395 
.28315 
.24677 
.19201 

+1.31059 
30397 
.28318 
.24681 
.19207 

40 
50 
60 
70 
80 

9.13338 
9  20f>23 
9.26055 
9.30545 
9.34414 

—9.0062 
9.4510 
9.6317 
9.7173 
97423 

.16084 
.21333 
.24785 
.26727 
.27311 

1.16079 
1.21330 
1.24784 
1.26728 
1.27312 

.11365 

.00137 
0.83110 
+0.52310 
—9.27753 

.11374 
.00148 
0.83123 
+0.52331 
—9.27508 

90 
100 
110 
120 
130 

9.37972 
9.41427 
9.44911 
9.48484 
9.52143 

9.7145 
9.6275 
9.45(5 
—9.0389 

+8.8714 

.26595 
.24556 
.21087 
.15960 
.08743 

.26596 
.24557 
.21087 
.15958 
.08739 

0.56685 
0.84878 
.00892 
.11548 
.19034 

0.56682 
0.84881 
.00896 
.11553 
.19038 

140 
150 
160 
170 
180 

9.55847 
9.59527 
9.63106 
9.66515 
9.69692 

9.3950 
9.5949 
96937 
9.7320 
97203 

0.98612 
0.83758 
0.59015 
—9  90468 
+0.36252 

0.98603 
0.83741 
0.58980 
—9.90273 
+0.36323 

.24324 
.27921 
.30103 
.31019 
.30729 

.24328 
.22924 
.30105 
.31019 

.30728 

190 
2(iO 
210 
220 

2:50 

9.72599 
9.75219 
9.77515 
9.79524 
9.81265 

9.6C59 
9.5189 
+9.2327 
—7.9180 
9.2730 

0.72810    !           0.72841 
0.91616    !           0.91635 
1.03818    I             .03831 
1.12378    !             .12386 
1.18508    1             .18514 

.29218 
.26396 
.22071 
.15891 
.07203 

.29216 
.26392 
.22(65 
1.15883 
1.07194 

240 
250 
260 
270 
280 

9.82769 
9.84088 
9.85280 
9.86404 
9.87523 

9.5401 
9.6703 
9.7298 
9.7359 
9.6889 

1.22808 
.25601 
.27053 
.27232 
.26129 

.22812 
.25603 
.27054 
.27233 
.26130 

0.94689 
0.75048 
—0.34892 
+0.09564 
0.67294 

0.94677 
0.75(33 
—0.34861 
+0.09597 
0.07296 

290 
300 
310 
320 
330 

9.83690 
9.899-19 
9.91323 
9.92812 
9.94413 

9.5737 
9.3331 

—8.4588 
+9.2118 
9.5265 

.23653 
.19609 
.13644 

.05108 
0.92676 

.23654 
.19612 
.13649 
.05116 
0.92692 

0.90592 
.04819 
.14530 
.21379 
.26135 

0.90590 
1.04815 
1.14526 
1.21375 
1.26132 

340 
350 
360 
370 
380 

9.96060 
9.97737 
9.99384 
0.00955 
+0.02410 

9.6715 
9.7370 
9.7445 
9.6959 
+9.5759 

0.73047 
+0.32805 
—0.07612 
0.650D3 
—0.88195 

0.73072 
+0.32877 
—0.07479 
0.650^0 
—  O.S8I76 

.29197 
1.30777 
1.30971 
1.29786 
+1.27142 

1.29195 
1.30770 
1.30972 

1.29788 
+  1.27146 

AQ  =  r  —  0.02519  sin  2  O  +  0.00294  sin  (Q+  82°  19').       C  =  —  18".755G  cos  Q- 

-#0  =  —  0".55069cos2O  —  0".0092  cos(Q+  280°  42').      D  =  —  20".4451  sin  Q- 

s^'t  j^             ^t, 
ffr                                   V 

©              0             O    '                       •" 
A0<?  =  aM0  +  Z/J30  +  c'C  +  d'D  +  /*'  r. 

XXX11 


TABLE  C. 

The  sidereal  days  are  reckoned  from  the  beginning  of  each  fictitious  year. 

Sid.  days  of 
fictitious  year. 

"-V 

log.  B 

V 

Sid.  days  of 
fictitious  year. 

log.  AQ. 

'*'% 

V 

1885 

0 
100 
200 
300 
400 

+9.31317 
9.25299 

9.17848 
9.08366 
8.95692 

+0.87388 
0.90110 
0.92317 
0.94056 
0.95365 

+080019 
0.0016 
0.0014 
00011 

0.0008 

1873 

0 
100 
200 
300 
400 

—9.47298 
9.44780 
9.41732 
9.38074 
9.33893 

—0.65004 
0.71424 

0.76688 
0.81042 
0.84664 

0.0026 
0.0024 
0.0022 
0.0020 

1866 

0 
100 
200 
300 
400 

+9.00441 
8.84362 
8.57830 
+7.75078 

—8.42582 

+0.94970 
0.96007 
0.96648 
0.96904 
0.96780 

+0.0009 
0.0006 
0.0003 
+0.0001 
—0.0002 

1874 

0 
100 
200 
300 
400 

—9.35261 
9.30317 
9.24338 
9.  J  6999 
9.07736 

—0.83515 
0.86716 
0.89355 
0.91498 
0.93193 

—0.0021 
0.0019 
O.C016 
0.0014 
0.0011 

1867 

0 
100 
200 
300 
400 

—8.19779 
8.68058 
8.90122 
9.04398 
9.14817 

+0  96865 
0.96488 
0.95725 
0.94560 
0.92974 

—0.0001 
0.0004 
0.0007 
0.0030 
0.0013 

1875 

0 
100 
200 
300 
400 

—9.11128 

9.00062 
8.84691 
8.60081 
7.96209 

—0.92669 
9.94090 
0.95115 
0.95766 
0.96051 

—0.0012 
0.0009 
0.0007 
0.0004 
0.0001 

1868 

0 
100 
200 
300 
400 

—9.11615 

9.20372 
9.27324 
9.32972 
9.37623 

H-  0.93558 
0.91676 
0.89313 
0.86416 
0.82912 

—0.0012 
0.0014 
0.0017 
0.0019 
0.0021 

1876 

0 
100 
200 
300 
400 

—8.29126 
+8.05073 
8.62270 
8.85929 
9.00915 

—0.95995 
0.98043 
0.95733 
0.95058 
0.940U6 

—0.0002 
+0.0001 
C.G004 
0.0007 
0.0009 

1869 

0 
100 
200 
300 
400 

—9.36151 
9.40252 
9.43642 
9.46427 
9.48683 

+0.84169 
0.80206 
0.75435 
0.69662 
0.62579 

—0.0021 
0.0023 
0.0025 
0.0026 
0.0028 

1877 

- 

0 
100 
200 
300 
400 

+8.96449 
9.08439 
9.17546 
9.24781 

9.30679 

—0.94404 
0.93093 
0.91366 
0.89193 
0.88520 

+0.0-009 
0.00  11 
0.0014 
0.0016 
0.0019 

1870 

0 
100 
200 
300 
400 

—9.47977 
9.49913 
9.51400 
9  52473 
9  53152 

+0.65142 
0.56929 
0  46351 
0.31856 
0.09405 

—0.0027 
0.0029 
0.0030 
0.0030 
0.0031 

1878 

0 
100 
200 
300 
400 

+9.28815 
9.34014 
9.38343 
9.41958 
9.44970 

—0.87480 
0.84441 
0.80774 
0.76382 
0.71031 

+0.0018 
0.0020 
O.G'022 
0.0024 
0.0026 

1871 

0 
100 
200 
300 
400 

—9.52965 
9.53393 
9.53447 
9.5313;} 
9.52443 

+0.18381 
+9.83245 
—9.23198 
0.00749 
0.26795 

—0.0031 
0.0031 
0.0031 
0.0031 
0.0031 

1879 

0 
100 
200 
300 

400 

+9.44014 

9.46668 
9.48832 
9.50551 
9.51856 

—0.72948 
0.68872 
0.59357 
0.49787 
0.36970 

+0.0025 
0.0027 
0.0028 
0.00-<i9 
0.0030 

1872 

0 
ICO 
200 
300 
400 

—9.52717 
9.51778 
9.50445 
9.48697 
—9.46503 

—0.19648 
0.37978 
0.50516 
0.59921 
—0.67322 

—0.0031 
0.0030 
0.0029 
0.0028 
—0.0027 

1880 

0 
100 
200 
300 
400 

+9.51460 
952504 
9.53168 
9.53458 
+9.53379 

—0.41778 
0.25465 
9.98254 
—9.05423 

+9.86753 

+O.G030 
0.0030 
0.0031 
0.0031 
+0.0031 

^"^Xla  +  O^ir'    ^60:      -%="0s.003^sina.    Hf0 

XXXlll 


TABLE  D. 

The  sidereal  days  are  reckoned  from  the  beginning  of  the  fictitious  year. 

/©• 

Log.%- 

a& 

Log.  h. 

H. 

Log.  i 

Sid. 

Day. 

1870. 

1870. 

1870. 

187O. 

I860. 

1880. 

187O. 

s 

o       / 

0          / 

0          /        | 

—  10 

—0.0855 

9.89809 

+134  57.0 

1.31059 

0    9.6 

0  10.3 

+8.4102    i 

0 

+0.0268 

9.74411 

71  37.5 

1.30955 

350  49.2 

350  50.0 

—0.1494    i 

+   10 

0.1358 

9.99341 

25  45.8 

1.30646 

341  23.5 

341  24.2 

0.4476    i 

20 

0.2387 

0.19941 

10    5.6 

1.30165 

331  48.1 

331  48.5 

0.6134    j 

30 

0.3329 

0.33757 

+    2  27.2 

1.29562 

321  58.7 

321  59.2 

0,7225 

40 

0.4176 

0.43590 

-    2    7.8 

1.28905 

311  53.6 

311  54.2 

0.7982 

50 

0.4928 

0.50912 

5     1.1 

1.28277 

301  32.5 

301  33.0 

0.8507 

60 

0.5597 

0.56573 

6  41.0 

1.27758 

290  57.5 

290  57.9 

0.8852 

70 

0.6207 

0.61  124 

7  20.0 

1.27422 

280  13.0 

2>0  13.3 

0.9046 

80 

0.6785 

0.64971 

7    6.5 

1.27314 

269  25.3 

269  25.5 

0.9105 

90 

0.7364 

0.68445 

6    9.2 

1.27447 

258  41.6 

258  41.7 

0.9033 

100 

0.7974 

0.71792 

4  39.4 

1.27796 

248    8.8 

248    8.7 

0.8829 

110 

0.8640 

0.75187 

2  51.8 

1.28309 

237  52.0 

237  51.9 

0.8482 

120 

0.9381 

0.78713 

—    1     1.4 

1.28918 

227  54.3 

227  54.0 

07970 

130 

1.0206 

0.82368 

+    0  38.4 

1.29544 

218  16.5 

218  16.2 

0.7248 

140 

.1115 

0.86095 

1  57.6 

1.30123 

268  57.1 

208  56.7 

0.6234 

150 

.2098 

0.89803 

2  51.1 

1.30591 

199  53.1 

199  52.5 

0.4749 

160 

.3137 

0.93400 

3  17.7 

1.30910 

191     0.7 

191     0.1 

0.2273 

170 

.4210 

0.96811 

3  19.7 

1.31052 

182  15.0 

182  14.5 

—9.5411 

180 

.5283 

0.99974 

3    0.8 

1.31007 

173  31.3 

173  30.6 

+0.0003 

190 

.6347 

1.02860 

2  25.8 

1.30778 

164  44.3 

164  43.6 

0.3656 

200 

.7359 

1.05449 

1  40.2 

1.30383 

155  49.3 

155  48.6 

0.5536 

210 

.831)5 

1.07741 

+    0  49.2 

1.29860 

146  42.0 

146  41.3 

0.6756 

220 

.9172 

1.09746 

—    0    2.3 

1.29256 

137  18.9 

137  18.3 

0.7612 

230 

1.9957 

1.11491 

0  49.4 

1.28635 

127  37.5 

127  37.0 

0.8225 

240 

2.0660 

1.13006 

1  28.4 

1.28065 

117  37.3 

117  36.9 

0.8655 

250 

2.1297 

1.14335 

1  55.7 

1.27621 

107  20.3 

107  20.0 

0.8934 

260 

2.1890 

1.15533 

2    9.1 

1.27363 

96  49.8 

96  49.5 

0.9079 

270 

2.2464 

1.16656 

2    7.5 

1.27329 

86  11.4 

86  11.2 

0.9097 

i    280 

2.3050 

1.17768 

1  51.6 

1.27529 

75  31.9 

75  31.9 

0.8986 

290 

2.3678 

1.18925 

1  23.3 

1.27938 

64  57.8 

64  57.9 

0.8739 

300 

24374 

1.20175 

0  46.5 

1.28501 

54  34.4 

54  34.6 

0.83?5 

310 

2.5157 

1.21545 

—    0    6.0 

1.29144 

44  25.0 

41  25.3 

0.7738 

320 

2.6035 

.  1.23036 

+    0  32.9 

1.29784 

34  30.6 

34  31.0 

0.6885 

330 

2.7007 

1.24633 

1    5.5 

1.30350 

24  50.1 

24  50.7 

0.5642 

340 

2.8057 

1.26296 

1  28.1 

1  .30774 

15  20.9 

15  21.4 

0.3680 

350 

2.9161 

1.27977 

1  38.6 

1.31014 

5  58.9 

5  59.5 

+99658 

360 

3.0289 

1.29623 

1  36.5 

1.31046 

356  39.4   i      356  40.1 

—9.7128 

370 

3.1404 

1.31190 

1  23.2 

1.30863 

347  17.3   j      347  18.2 

0.2880 

380 

+3.2474 

1.32639 

+     1     1.1 

1.30485 

337  48.6  i      337  49.2 

—0.5190 

A     a  — 

/*       i             i             *     /  / 
^M    •             i    &  ^^         \ 

?     _L-  a}  tan  d  -4-  h  sin  (II  4-  a\  SeC< 

d 

) 

© 

rQ  -|-  aj             -f-  n  oin  ^J.  -j-  u.) 

^                         1O                                                               Ic 

AQ#  =  p/  r  -{-  <70  cos  (G  -\-  a)  -j-  li  cos  (H  -|-  «)  sin  d  -J-  i  cos  d. 

31 


XXXIV 


TABLE  E. 

The  sidereal  days  are  reckoned  from  the  beginning  of  each  fictitious  year. 

Sid.  days  of 
fictitious  year. 

/a 

Io*-'a- 

°o- 

Sid.  days  of 
fictitious  year. 

/& 

log-v 

V 

18G5 

0 
100 
200 
300 
400 

8 

+0.6337 
0.5517 
0.4648 
0.3736 
0.2790 

0.93153 
0.94130 
0  94977 
0.95682 
0.96234 

o       / 
61     7.5 
65  43.7 
70    9.0 
74  25.2 
78  34.6 

1873 

/ 

0 
100 
200 
300 
400 

-0.9155 
0.8641 
0.8055 
0.7404 
0.6694 

0.87202 
0.8S337 
0.89500 
0.90642 
0.91731 

o       / 
216  51.4 
222  38.5 
228    6.9 
233  17.4 
238  11.5 

1866 

0         0.3113 
100  i      0.2149 
200  |      0.1166 
300  |  +0.0174 
400     —0.0821 

0.96066 
0.96512 
0.96793 
0.96907 
0.98852 

77  11.1 
81  16.8 
85  18.6 
89  18.3 
93  17.7 

1874 

0 
100 
200 
300 
400 

0.6940 
0.6194 
0.5396 
0.4558 

0.3682 

0.91371 
0  92406 
0.93339 
0.94155 
0.94836 

236  34.0 
241  18.5 

245  49.8 
250    9.7 
254  20.5 

1867 

0 

100 
200 
300 
400 

0.0485 
0.1476 
0.2454 
0.3410 
0.4334 

0.96890 
0.96723 
0.96390 
0.95892 
0.95239 

91  56.8 
95  57.0 
99  59.8 
104    6.9 

108  20.8 

1875 

0 

100 
200 
300 
400 

0.3981 
0.3085 
0.2167 
0.1230 
0.0283 

0.94622 
0.95211 
0.95649 
0.95934 
0.96060 

252  56.7 
257    2.5 
261     2.1 

264  57.6 
268  50.8 

1868 

0 
100 
200 
300 
400 

0.4026 
0.4925 
0.5780 
0.6583 
0.7327 

0.95477 
0.94725 
0.93836 
0.92823 
0.91712 

106  54.4 
111  13.3 
115  41.8 
120  21.8 
125  15.3 

1876 

0 
100 
200 
300 
400 

—0.0603 
+0.0346 
0.1293 
0.2229 
0.3147 

0.96035 
0.98056 
0.95919 
0.95624 
0.95175 

267  32.3 
271  24.9 
275  18.2 
279  13.9 
283  13.9 

I  1869 

0 
100 
200 
300 
400 

0.7083 
0.7785 
0.8417 
0.8974 
0.9453 

0.92097 
0.90932 
0.89716 

0.88487 
0.87293 

123  34.6 
128  38.0 
133  57.9 
139  35.4 
145  31.4 

1877 

0 
100 
200 
300 
400 

0.2840 
0.3742 
0.4616 
0.5452 
0.6246 

0.95343 
0.94795 
0.94102 
0.93280 
0.92339 

2S1  52.3 
285  56.2 
290    7.5 
294  28.2 
299    0.2 

297  27.0 
302    7.7 
307     3.0 
312  14.7 
317  44.2 

1870 

0 
100 
200 
300 
400 

0.9300 
0.9725 
.0063 
.03J4 
.0477 

0.87689 
0.86547 
0.85528 
0.84690 

0.84082 

143  29.1 
149  37.6 
156    3.8 
162  46.0 
169  40.8 

1878 

0 
100 
200 
300 
400 

0.5983 
0.6744 
0.7450 
0.8097 
0.8679 

0.92667 
0.91660 
0.90568 
0.89423 

0.88266 

1871 

0 
100 
200 
300 
400 

.0431 
.0535 

.0548 
.0473 
.0308 

0.84258 
0.83828 
0.83682 
0.83833 
0.84261 

167  19.6 
174  20.2 
181  25.4 
188  29.4 
195  26.4 

1879 

0 
100 
200 
300 
400 

0.8489 
0.9025 
0.9486 
0.9868 
10170 

0.88653 
0.87505 
0.86418 
0.85445 
0.84641 

315  51.0 
321  33.0 
327  34.1 
333  53.9 
340  30.6 

1872 

0 
100 
200 
300 
400 

.0373 
.0151 
0.9844 
0.9456 

—0.8990 

0.84085 
0.84687 
0.85503 
0.86486 
0.87580 

193    6.5 

199  56.7 
206  32.4 
212  51.0 

218  50.7 

1880 

0 
100 
200 
300 
400 

1.0077 
1.0322 
1.0481 
1.0551 
+1.0532 

0.84889 
0.84227 
083816 
0.83686 
0.83850 

338  14.9 
345    1.3 
351  59.1 
359    3.3 

6    8.2 

V^o+^oHfo+^Tr 

V==^cos(^  +  a)- 

XXXV 


ON  THE  PLACES  AND  PROPER  MOTIOX  OF  /51  SCORPII,  /5  AND  rt  DEACONIS  AND  611  CYGXI. 

From  a  report  prepared  ~by  Mr.  G.  W.  HILL. 

In  this  discussion  almost  all  the  materials  to  be  derived  from  the  well  known  col- 
lections of  reduced  observations  have  been  employed.  To  accord  with  Dr.  GOTTLD'S 
Standard  Places  of  Fundamental  Stars,  the  right  ascensions  as  given  in  these  collections 
have  been  reduced  to  the  equinoctial  points  of  ARGE  LANDER'S  DLX  Stellarum  Positiones 
Jlcdice.  Also  the  systematic  corrections  given  by  Dr.  AUWER'S,  in  the  Astronomwclie 
Xachrichten,  Vol.  LXV,  370,  377-382,  have  been  applied  to  the  declinations. 

3l  Scorpli. 

Adopting  for  a  provisional  mean  place  of  this  star  that  of  the  Greenwich  Seven-Year 
Catalogue  for  I860,  we  have  for  any  time,  with  a  proper  motion  zero  in  both  co-ordinates, 

a  =     15h  57m  183.08+  38.47735  (£—  I860)  +  Os.0000711  (t—  I860)2, 
S  =  —  19°  25'  8".37  —  10".  2316  (t—  1860)  +  0".002203  (f—  I860)2.' 
Constructing  an  ephemeris  from  these  formula?  and  comparing  it  with  the  observations, 
both  as  published  and  corrected,  we  obtain  the  differences  in  columns  I  and  'II  of  the 
following  table.     From  those  in  column  II  are  derived,  by  the  method  of  least  squares, 
the  following  normal  equations,  in  which  A  a  and  Ao  denote  the  corrections  of  the  pro- 
visional mean  right  ascension  and  declination,  and  ,a  and  \J  are  the  proper  motions  in 
right  ascension  and  declination  for  I860  : 

37.5  Aa—      810  /JL  =  -f-        18.0865 
—  810     A«-f  40379/7.  =—      64s  .793 


34     A£  —      746  /?  =  +      3S".6S5 
—  746     A<J  -f-  39090  ,*'  =  —  1279".4S5. 


Whence 


—  03.00180 

—  0".0189j 


Aa=  —  08.010, 
Atf  =  -f-  0".72, 

and  the  corrected  formula?  for  the  mean  place  of  the  star  will  be 

a  =  15h  57m  18S.070  +  38.47555  (t—  1860)  +  Os.0000712  (t—  I860)2 
d  =  —  19°  25'  7".6o  —  10".2505(*  —  1860)  +  0".002200  (t—  I860)2. 
The  differences  of  these  and  the  corrected  observations  constitute  column  III  of  the  table. 


Authority. 

RIGHT  ASCENSION. 

DECUNAT1OS. 

Mean 
year. 

X 

"S 

1 

Weight. 

Obs.  —  Cal. 

Moan 
year. 

.3 
O 

"o 

0 

X 

.« 
"§)- 
J® 

Obs.  —  CaL 

I. 

II. 

IIL 

I. 

II. 

III. 

Bradley,  (Fund.  Aftf.)  .... 
Piani 

1755 
1800 
1829 
1830 
1830 
1830 
1834 
1837 
1838 
1845 
1840 
1844 
1848 
1851 

1857 
186-5 
1860 

10 
44 
12 
13 
5 
9 
4 
14 
51 
57 
33 
34 
18 
54 

•40 
12 
115 

2 
2 
2 
2 
2 
2 
'* 
1 

}' 

1 
3 
3 

4 

4 

o 

4 

s 
+.118 
+.145 
+  .037 
+.137 
+.107 
+  .047 
—.081 
+  .090 
—.061 
+.025 
+.020 
+  .014 
+.055 
+.007 

+.005 
—.008 
—.005 

g 
+.118 

+.206 
+.037 
+  .137 
+.067 
+.007 
—.051 
+.010 

J  +.022 

f.020 
+.014 
—.025 
—.016 

—.COS 
—.021 
+.011 

s 
—.062 
+.1C8 
—.009 
+.093 
+.023 
-.037 
—.088 

-™ 

—.OOl] 

—.006 
—.005 
—.037 

—.0-22 

—  .OC3 
—.007 
+.022 

1755 

1800 
1829 
1830 
1830 
j  1830 
1853 
1837 
!  1838 
1844 

!  1842 
1850 
1851 
1856 
1857 
1862 
18SO 

8 
28 
22 
12 
5 
14 

I 

37 
41 

15 

5 
47 
24 
32 
8 
93 

2 
2 

2 
'  2 

2 

: 

i 

4 
3 

2 

4 

// 
+2.36 
+4.54 
+2.17 
+4.04 
+1.74 
+1.74 
+1.57 
+1.02" 
+0.49 
+1.01 

+1.40 
+  1.39 
+0.90 
+0.64 
+O.C6 
+0.11 
+0.46 

+2.36 
+2.51 
+  0.80 
+1.76 
40.76 
+1.94 
+1.27 
+0.66 

}  +1.07 

+0.22 
+2.05 
+  1.02 
+0.64 
+0.45 
+0.50 
-rO.57 

•   ! 

-0.31, 
+0.67 
—0.50 
+0.48  ; 
—0.52  | 
+0.66  ; 
+0.42 
—0.49  | 

—0.00 

—0.84 
+  1.11 
+0.13  , 
—0.15 
—0.3-2  !  | 
—0.18  ' 
—0.15  i 

!| 

Airy    Camb   Cat 

Poiul                       .    .     . 

Sfruve   Cat  Gen.      .    , 

Johnson   St  Hc'ena  

Robinson,  Arm.  Cat.      .     .    I    . 

Greenwich,  12  year  Cat.     .     .    . 
Greenwich,  12  year  Cat.     .    .    . 

Edinburgh                            •     . 

UadcIifTeCat  

XXXVI 


7}  Draconis. 

Deriving  a  provisional  place  from  the  same  authority  as  for  the  previous  star,  with  no 
I  proper  motion,  we  obtain  the  formulas: 

a  =         16h  22m  6S.23  -f-  08.79943  (t  —  1860)  +  Os.0000943  (t  —  I860)2, 
d  =*  +  61°  49'  54/x.16  —  S".3086   (t—  1860)  -j-  0"..000548   (t—  I860)2. 

j  Comparing  these  with  the  published  and  corrected  observations  we  have  columns  I  and 
j  II  of  the  following  table,  and  we  find  from  the  latter  the  normal  equations, 

36  A«  —      647  /JL   —  —      4S.9S3 

—  647  £«  + 21146 //   =  +  1123.538 

39  A  £  —      766  ii.'  =  —    35". 23 

—  766  £3  +  38618  /;/  =  +  2293".37. 

Whence 

A«  =  —  Os.095,  JJL  =  +  Os.00242 

A(5  =  +  0/7.43,  /j.'  =  -|-  Ox/.0679j 

and  the  corrected  formulaB  for  the  mean  place  of  the  star  will  be 

a  =      16h  22m  6S.135  +  Os.80185  (t  —  1860)  +  Os.0000924  (t  —  I860)2, 
d  «  +  61°  49X  54x/.59  —  8//.2407   (*  —  I860)  -j-  0/x.000551  (t  —  I860).2 

The  differences  of  these  and  the  corrected  observations  constitute  column  III  of  the  table. 


RIGHT  ASCENSION. 


Authority. 


Bradley,  (Fund.  Astr.)  .     . 

Pinzzi 

Groombridge 

Struve,  Cat.  Gen.      .     .     . 

Pond 

llobinson.  Arm.  Cat.  .  . 
Taylor,  Madras  .... 
Greenwich,  12  year  Cat's  . 
Gilliss,  Washington  .  .  . 

Henderson 

Riidcliffe 

Washington 

Greenwich 

Brussels 

Paris 

Greenwich 

Kadcliffe 

Greenwich 


Mean 
year. 


1755 
1300 
1810 
1830 
1830 
1833 
1835 
1841 
1841 
1841 
1842 
1853 
1851 
1856 
1857 
1858 
1859 
1863 


Ob.s.  —  Cal. 


.804 
.295 
.022 
.182 
,409 
.123 
.059 
•.488 
-.045 
-.070 
-.108 
-.080 
-.074 
,223 
-.044 
.043 
-.173 


II. 


—.417 
—.049 
—.062 
—.182 
—.469 
—.203 
—.118 
—.188 
—.045 
—.150 
-.1C8 
—.123 
—.074 
—.207 
—.057 
—.123 
—.186 


III. 


DECLIXATIOX. 


Mean 
year. 


—.170 
+.172 
+  .108 
—  .012 
—.306 
—.046 
+.024 
—.046 
+.097 
—.010 
+.005 
—.005 
+.C31 
—.105 
+.043 
-.025 
—.098 


1755 

1800 
1810 
1830 
1830 
1852 
1835 
1841 


1842 
1848 
1850 
1851 
1855 
1858 
1858 
1860 
1863 


Obs.  —  Cal. 


—7.41 
—3.65 
—2.96 
—1.41 
—1.01 
—0.86 
—2.03 
—0.38 

—0.49 
—.045 
+0.51 
+0.26 
-0.02 
+0.75 
—0.15 
+0.41 
|  +0.44 


II. 


—7.41 

-2.85 
—2.51 
—1.47 
—0.94 
—0.82 
—1.49 
—0.60 

-0.76 
—0.05 
+0.34 
—0.13 
—0.02 
+  0.32 
—0.27 
—0.30 
+0.32 


III. 


—0.74 
+  0.79 
+0.45 
-10.14 
+  0.67 
—0.71 
—0.22 
+0.26 

+0.03 
+  0.34 
+  0.59 
+  0.05 
—0.11 
+  0.03 
—9.56 
—0.13 
—0.32 


P  Draconis. 

The  provisional  place  of  this  star  derived  from  the  same  source,  with  no  proper 
motion,  is 

a  =      17h  27m  16S.32  +  18.35307  (t  —  1860)  +  Os.00002o6  (t  —  I860)2, 
d  =  +  52°  24X  22".71  —  2//.S543  (t  —  I860)  -f-  0//.000983   (i  —  I860)2. 

The  comparisons  of  these  with  the  published  and  corrected  observations  are  given  in 
columns  I  and  II  of  the  following  table.  From  column  II  we  find  the  normal  equa- 
tions, 


XXXV11 


35.6  Aa—      744  ,«   =  —    18.635 

—  744     Aa  +  39800  (a   =  —  32S.231 

43     A<J  —      944  //  =  +  15".34 

—  944     A«J  -f  45848  //  =  —  440/X33. 
Whence 

Aa  =  —  Os.103,  n  =  — Os.00273 

A<5  ==  -f-  0/7.27,  IL'  =  —  0/x.0041  j 

and  the  corrected  formulae  for  the  mean  place  of  the  star  become, 

a  =  17h  27m  16S.217  -f  18.35034  (t—  1860)  +  Os.0000257  (t  —  I860)2, 
3  =-f-52°24/22//.98— 2".S5S4  (t—  1860)  -(-  0".000979   (t—  I860)2. 
Comparisons  of  which,  with  the  coiTected  observations,  constitute  column  III  of  the 
table. 


Authority. 

RIGHT  ASCENSION. 

DECLINATION. 

Mean 
year. 

1 

"5 

d 

fc 

10 
44 
11 
26 
101 
3 

79 
1 
9 
24 
29 
60 
12 
45 
17 
7 

i 

i 

2 
2 
1 
2 
4 
* 

4 
i 

2 
2 
3 
2 
2 
4 
3 
2 

Obs.  —  Cal. 

Mean 
year. 

! 

o 
o 

fc 

39 
18 
163 
133 
103 
5 
11 
143 
11 
7 
34 
37 
11 
15 
44 
44 
7 

*s 

i 

Obs.  —  Cal. 

I. 

II. 

III. 

I. 

II. 

III. 

Bradley,  (Fund.  Astr.)  .... 
Piazzi       ....         .... 

1755 
1800 
1810 
1830 
1830 
1835 

1842 
1842 
1844 
1847 
1851 
1856 
1857 
1859 
1860 
1861 

8 

+.197 
—.188 
—.220 
+.039 
—.051 
+.201 

—.075 
—.469 
—.030 
—  .121 
—.032 
—.032 
—.135 
+.004 
—.143 
—  123 

-f.197 
+.121 
—.067 
+.039 
—.051 
+.121 

—.114 
—.499 
—.110 
—.121 
—.045 
—.032 
—.135 
—.009 
—.127 
—.136 

8 

+.012 
+.060 
—.101 
+.060 
—.030 
+.156 

—.061 
-.446 
—.051 
—.053 
+.034 
+.060 
—.040 
+.091 
—.024 
—.030 

1755 
1800 
1810 
1830 
1830 
1835 
1839 
1840 
1838 
1844 
1847 
1851 
1857 
1857 
K59 
1858 
1861 

o 
2 

•2 
3 
4 
1 
2 
4 
2 
2 
2 
4 
\ 
o 

4 
4 

o 

+0.05 
+  1.19 
+0.61 
+0.57 
+0.57 
+0.70 
+0.41 
+0.30 
+0.87 
+0.46 
+0.36 
+0.43 
+0.43 
+  1.15 
0.00 
+0.57 
—0.03 

+0.05 
+1.40 
+  1.01 
+0.31 
+0.44 
+1.21 
+0.05 
+0.18 
—0.06 
+0.44 
+0.36 
+0.06 
+0.48 
+  1.00 
+  0.02 
+0.36 
—0.01 

II 
—0.61 
+0.51 
+0.55 
—  O.C8 
+0.05 
+0.84 
—0.30 
-0.17 
—0.42 
+0.11 
+  0.04 
-0.25 
+0.20 
+0.7-2 
—  0-25 
+O.C8 
-O.CS 

Groombridge    

Pond    

Argelander  

Taylor      

Henderson    ...".... 

Greenwich,  12  year  Cat's   .    .    , 
Robinson,  Arm.  Cat  
Radcliffe  Cat  

Washington      

Greenwich  

Brussels  

Radcliffj 

Paris    

61'  Cygni. 

From  Dr.  ATTWERS'  elements  of  the  position  of  this  star  in  the  Astronomisclie  Nacli- 
richtcn,  Vol.  LIX,  p.  354,  we  have 

a  =  21Tl  Ora  37S.396    +  2S.67S7S  (t—  1860)  +  Os.0000207  (t  —  I860)2, 

,7  =  +  38°  3'  46".S6  +  17".4510  (t—  I860)  -(-  0//.001493   (t—  I860)2, 

including  the  proper  motion  in  R.  A.,  >JL  =  -{-  Os.34512,  and  in  Dec.,  //  =  -f-  3".2311. 

On  account  of  the  importance  of  BR\DLEY'S  two  transit  observations  in  determining  the 
proper  motion  of  this  star,  they  have  been  reduced  anew.  With  the  equatorial  intervals 
of  the  wires,  as  given  in  the  Preface  to  the  Observations,  and  the  clock  corrections  and 
the  constants  of  the  instrumental  corrections  given  by  BKSSEL,  in  the  Fimdaiucnta 
Astrononiice,  the  resulting  mean  right  ascensions  differ  more  than  Os.5.  If,  however, 
for  17-53,  October  8,  we  derive  the  clock  correction  from  the  observations  of  a  Bootis, 
a.  Aquila?,  a  Cygni,  and  a  Piscis  Australis,  using  Dr.  GOULD'S  well  determined  values 
of  their  right  ascensions,  we  have  for  Oct.  8,  ish  5ra,  +  23M3,  instead  of  BE?SK.L?S 
value  +  23S.5S,  or  a  correction  of  BESSEL'S  clock  correction  for  that  night  of  —  03.43. 

Making  this  correction  we  have  for  the  apparent  R.  A.  for  the  time  of  transit  at 
Greenwich, 


1753,  Sept.  25 
Oct.      8 


h       m  s 

20  55  54.54 
20  55  54.38 


Wires. 
1 
3 


XXXV111 


Reducing  these  to  mean  place  at  date  with  the  constants  derived  'from  these  tables, 
the  effect  of  the  two  terms  depending  on  <£  being  added,  and  taking  the  annual  variation 
in  mean  II.  A.  at  the  epoch  1754  to  be  -(-  28,6695,  which. is  sufficiently  accurate,  we 
have"  as  the  mean  R.  A.  for  1755. 0, 


Sept.  25 
Oct.      8 


20  55  56.23 
20  55  56.32 


and,  combined  by  giving  double  weight  to  the  latter, 

li       m          s 

20  55  56.29 
as  the  mean  result  from  BRADLEY'S  observations. 

Comparing  the  provisional  formula  with  the  different  authorities  and  the  corrected 
values  as  for  the  other  stars,  we  have  columns  I  and  II  of  the  following  table.  For 
the  declinations  the  normal  equations  resulting  from  column  II,  are 


54  A<S  —    1092  A  //  =  —      4".59, 
—  1092  A<S  +  48478  A  /,/  =  +  381".45  j 


from  which, 


£  =  -f-  0".14, 


A// 


0".0109. 


With  regard  to  the  right  ascensions,  it  has  been  found  more  convenient  to  plot  the 
residuals  and  draw  a  parabolic  curve  so  as  most  nearly  to  represent  them.  Thus  the 
correction  ot  ATJWERS'  formula  is  found  to  be 

+  Os.041  +  Os.00653  (#—1860)  +  Os.000054  (t—  I860)2. 
Then  the  formulae  for  the  corrected  place  are, 

a  =  21h  Om  37S.437     +  2S.68531    (^—1860)  +  Os.0000747  (*—  I860)2 
d  =  +  38°  3'  47//.00  +  17".4619  (t—  1860)  -j-  0".OOU93  (t—  I860)2, 

in  which  the  right  ascension  includes  the  term  -j-  Os.0000536  (t  —  I860)2  due  to  varia- 
bility of  proper  motion. 

Column  III  of  the  table  shows  how  nearly  these  represent  the  several  authorities. 


Authority. 


Bradley,  (corrected) 

Piazzi 

Bessel 

Struve  .... 
Argelander  .  .  . 

Pond 

Taylor  .... 
Greenwich  .  .  . 
Henderson  .  .  . 
Greenwich  .  .  . 
Washington  .  . 
Radcliffe  .... 
Greenwich  .  .  . 
Brussels  .... 
Greenwich  .  .  . 
Radcliffe  .  .  . 
Paris  .  s  .  .  . 
Greenwich  .  .  . 


RIGHT  ASCENSION. 


Mean 
year. 


1755 
1805 
1816 
1824 
1830 
1830 
1837 
1839 
1841 
1844 
1847 
1850 
1851 
1856 
1857 
1858 
1860 
1863 


Obs.  —  Cal. 


-.384 
—.131 
—.021 
—.091 
+  349 
+.381 
—.089 
—.053 
—.059 
—.020 
+.071 
+.010 
—.052 
+.034 
+.030 
+-017 
+.082 


II.  III. 


—.062 
—.169 


—.061 
—.091 


—.053 
—.068 
—.020 
—.009 
—.013 
—.052 
+.021 
+.C30 
+.033 
+.069 


—.013 
—.014 
+.011 
+.063 
+.015 


—.026 
+.011 
—.018 
+.015 
+.010 
—.000 
—.068 
—.001 
+.001 
—.008 
+.008 


DECLINATION. 


Mean 
year. 


1754 
1805 
1816 
1824 
1830 
1830 
1835 
1838 
1841 
1644 
1847 
1853 


1857 
1858 


1863 


1852  |  52 
1857  26 


Obs.  —  Cal. 


—1.27 
+2.32 
—0.29 
+0.42 
+0.12 
+0.92 
—1.06 
—0.73 
0.00 
—0.13 
—0.06 
+1.47 
+0.18 
+0.32 
—0.36 
+0.57 
+0.01 
—0.59 


II. 


—1.15 
+0.29 
—079 
+0.12 
—0.22 
+0.10 
—0.52 
—0.67 
-  0.37 
—0.19 
—0.22 
+0.94 
+0.14 
+0.32 
+0.24 
+0.20 
+0.02 
—0.29 


III. 


—0.12 

+0.76 

—0.45 

+0.38 

—0.03 

+0.29 

—0.37 

—0.57 

—0.29  i 

—0.15 

-0.21 

+0.88 

+0.09 

+0.22 

+0.14 

+0.09 

—0.12 

—0.46 


GENERAL  TABLES 


GENERAL  TABLES.    /^*<? 


TABLE  I.—  Longitudes  of  the  principal  Observatories  frb^Wa^h^kMivJ\^^ 

^^^^5^;^^^^^^^^^^ 

In  decimals  of  a 

T>1ono 

TV*  T1!*™** 

.  .         i  .„„  .  

In  decimals  of  a 

In  Time. 

Day. 

Year. 

JrMMb 

in  1  ime. 

Day. 

Year. 

d 

d' 

d" 

d 

d1 

d" 

h    m      8 

d 

y 

h   m      8 

d 

y 

Abo  

—6  37  20.32 

—.27593 

—.00076 

Leipsic    .     .     . 

—  5  57  46.87 

—.24846 

—.00068 

Albany  .... 

-0  13  12.87 

-.00918 

—.00002 

Leyden   .     . 

-  5  26    8.57 

—,22649 

—.00062 

Altona   .... 

—5  47  58.54 

-.24165 

—.00066 

Liverpool      .     . 

—  4  56  12.34 

-.20570 

—.00056 

Ann  Arbor  . 

+0  26  42.67 

+.01855 

+.00005 

Madras    . 

—1029   9.67 

-.43692 

-.00120 

Armagh 

—4  41  36.92 

—.19557 

—.00053 

Mannheim    . 

—  5  42   3.06 

—.23753 

—.00065 

Athens  .... 

—643   7.58 

—.27995 

—.00077 

Markree  . 

—  4  34  24.00 

—.19056 

—.00052 

Berlin    .... 

—6    147.77 

—.25125 

—.00069 

Marseilles     • 

—  5  29  40.55 

—.22894 

—.00063 

Bilk.           .     .     . 

—5  35  17.77 

—.23284 

—  .00064 

Milan.     .     .     . 

—  5  44  58.20 

—  .23956 

—  .00066 

Bonn     .... 

—5  36  36.02 

—.23375 

—.00064 

Modena  . 

—  5  51  55.53 

—.24439 

—.00067 

Breslau.     .     .     . 

—61622.19 

—.26137 

—.00071 

Moscow  .     . 

—  7  38  29.29 

—.31839 

—.00087 

Brussels 

—52541.29 

—.22617 

-.00062 

Munich   .     .     . 

—  5  54  38.00 

—.24627 

—.00067 

Cambridge,  Eng.  . 

—5    835.08 

—.21429 

—.00060 

Naples     .     .     . 

—  65  10.95 

—.25360 

—.00070 

Cambridge,  Mass.  . 

—02341.54 

—.01645 

—.00004 

New  York    .     . 

—  0  12  15.47 

—.00851 

—.00002 

Cape  of  Good  Hope. 

-622    8.09 

—.26537 

—.00073 

Nicolajew     .     . 

—  7  16    6.53 

-.30285 

—.00083 

Chicago      .     .     . 

+0  42  14.26 

+.02933 

+.00008 

Olmutz    .     .     . 

—  6  17  15.43 

—.26198 

—.00072 

Christiania  .     . 

—551    6.69 

-.24383 

—.00067 

Oxford     .     .     . 

—  53   9.79 

—.21053 

—.00058 

Cincinnati  . 

+0  29  46.90 

+.02068 

+.00006 

Padua     .     .     . 

—  55541.17 

—.24700 

—.00068 

Clinton  .... 

—  0    635.08 

-.00457 

—.00001 

Palermo  . 

—  61  37.00 

—.251  12 

—.00069 

Copenhagen     . 

—5  58  31.05 

-.24897 

—.00068 

Paramatta    . 

-15  12  18.64 

—.63353 

—.00173 

Cracow  .... 

—628    2.80 

—.26948 

-.00074 

Paris  .     .     '.     . 

-  5  17  33.02 

—.22052 

—.00061 

Dorpat  .... 

—655    6.02 

—.28826 

—.00079 

Philadelphia.     . 

—  07  33.64 

—.00525 

—.00001 

Dublin  .... 

—4  42  50.39 

—.19642 

—.00054 

Prague    .     .     . 

—  65  53.52 

—.25409 

—.00070 

Durham 

—5    152.64 

—.20964 

—.00057 

Pulkowa  . 

—  79  31.06 

—.29828 

—.00082 

Edinburgh  .     .     . 

—4  55  29.34 

—.20520 

—.00056 

Rome. 

—  5  58    8.53 

—.24871 

—.00068 

Florence 

—5  53  15.10 

—.24531 

—.00067 

San  Fernando    . 

—  4  43  22.42 

—.19679 

—.00054 

Geneva  .     .     .     . 

—5  32  49.24 

—.23113 

-  .0006:? 

Santiago  . 

—  0  25  30.00 

—.01771 

—.00005 

Georgetown 
Gottingen   . 

+0    0    6.20 
—5  47  58.49 

+.00007 
—.24165 

.00000 
—.00066 

o 

Senftenberg  .     . 
Speyer     .     .     . 

—  614    3.00 
—  5  41  58.00 

—.25976 
—.23748 

—.00071 
—  .OOC65 

Gotha    .... 

—551    339 

-.24379 

—.00067 

Stockholm     .     . 

—  6  20  26.35 

—.26419 

—.00072 

Greenwich  . 

—5    812.39 

-.21403 

—.00059 

St.  Petersburg  . 

—  79  25.87 

—  .29322 

—.00082 

Hamburg    . 

—548    5.95 

—.24174 

—.00060 

Helsingfors 

—648    1.3-2 

—.28335 

—.00078 

Upsala    . 

—  6  18  42.70 

—.26299 

—  00072 

Hudson 

+0  17  32.06 

+.01218 

+.00003 

Utrecht    .     .     . 

—  5  28  43.67 

—.22828 

—.00063 

Kasan   .... 

—82441.14 

—.35048 

—.00096 

Vienna    . 

—  613  44.09 

—.25954 

—.00071 

Konigsberg 

—63011.87 

—.27097 

—.00074 

Washington  . 

0    0    0.00 

.00000 

.00000 

Kremsmiinster  . 

—6    445.03 

—.25330 

—.00069 

Wilna      .     .     . 

—  6  49  23.33 

—.28430 

-.00078 

GENERAL  TABLES. 


TABLE  II.—  Number  of  days  from  Jan.  0  in  common  years,  and  from  Jan.  1  in 

bissextile  years. 

Day  cf  month. 

JANUARY. 

FEBRUARY. 

MARCH. 

APRIL. 

^ 

-si 

g 

H 

t5 
C3 
l-j 

£ 

& 

>-s 

AUGUST. 

SEPTEMBER. 

OCTOBER. 

NOVEMBER. 

DECEMBER. 

Common  year. 

Bissextile  year. 

Common  year. 

Bissextile  year. 

1 

1 

0 

3-2 

31 

60 

91 

121 

152 

182 

213 

244 

274 

305 

335 

2 

2 

1 

33 

32 

6] 

92 

122 

153 

183 

214 

245 

275 

306 

836 

3 

3 

2 

34 

33 

62 

93 

123 

154 

184 

215 

246 

276 

307 

337 

4 

4 

3 

35 

34 

63 

94 

124 

155 

185 

216 

247 

277 

308 

338 

5 

5 

4 

36 

35 

64 

95 

125 

156 

186 

217 

248 

278 

309 

339 

6 

6 

5 

37 

36 

65 

96 

126 

157 

187 

218 

249 

279 

310 

340 

7 

7 

6 

38 

37 

66 

97 

127 

158 

188 

219 

250 

280 

311 

341 

8 

8 

7 

39 

38 

67 

98 

128 

159 

189 

220 

251 

281 

312 

342 

9 

9 

8 

40 

39 

68 

99 

129 

160 

190 

221 

^252 

282 

313 

343 

10 

10 

9 

41 

40 

69 

100 

130 

161 

191 

222 

253 

283 

314 

344 

11 

11 

10 

42 

41 

70 

101 

131 

162 

192 

'223 

254 

2S4 

315 

345 

12 

12 

11 

43 

42 

71 

102 

132 

163 

193 

224 

255 

285 

316 

346 

13 

13 

12 

44 

43 

72 

103 

133 

164 

194 

225 

256 

286 

317 

347 

14 

14 

13 

45 

44 

73 

104 

134 

165 

195 

226 

257 

287 

318 

348 

15 

15 

14 

46 

45 

74 

105 

135 

166 

196 

227 

258 

288 

319 

349 

16 

16 

15 

47 

46 

75 

106 

136 

167 

197 

228 

259 

289 

320 

350 

17 

17 

16 

48 

47 

76 

107 

137 

168 

198 

229 

260 

290 

321 

351 

18 

18 

17 

49 

48 

77 

108 

138 

169 

199 

230 

261 

291 

322 

352 

19 

19 

18 

50 

49 

78 

109 

139 

170 

200 

231 

262 

292 

323 

353 

20 

20 

19 

51 

50 

79 

110 

140 

171 

201 

232 

263 

293 

324 

354 

21 

21 

20 

52 

51 

80 

111 

141 

172 

202 

233 

264 

294 

325 

355 

22 

22 

21 

53 

52 

81 

112 

142 

173 

203 

234 

265 

295 

326 

356 

23 

23 

22 

54 

53 

82 

113 

143 

174 

204 

235 

266 

296 

327 

357 

24 

24 

23 

55 

54 

83 

114 

144 

175 

205 

236 

267 

297 

328 

358 

25 

25 

24 

56 

55 

84 

115 

145 

176 

206 

237 

268 

298 

329 

359 

26 

26 

25 

57 

56 

85 

116 

146 

177 

207 

238 

269 

299 

330 

360 

27 

27 

26 

58 

57 

86 

117 

147 

178 

208 

239 

270 

300 

331 

361 

28 

28 

27 

59 

58 

87 

118 

148 

179 

209 

240 

271 

301 

332 

362 

29 

29 

28 

59 

88 

119 

149 

180 

210 

241 

272 

302 

333 

363 

30 

30 

29 

» 

89 

120 

150 

J81 

211 

242 

273 

303 

334 

364 

31 

31 

30 

90 

151 

212 

243 

304 

365 

GENERAL  TABLES. 


TABLE  III.—  Reduction  of  hours  and  minutes  to  decimals  of  a  day  and  year. 

Hours. 

Decimal  of 
a  day. 

Decimal  of 
a  year. 

Minutes. 

Decimal  of 
a  day. 

Decimal  of 
a  year. 

Minutes. 

Decimal  of  !     Decimal  of 
a  day.                a  year. 

d 

V 

d 

y 

d 

y 

1 

0.042            6.  000  11 

1 

0.001 

0.00000 

31 

0022 

t.  00006 

2 

.083 

.00023 

2 

.001 

.00000 

32 

.022             .00006 

3 

.125 

.00034 

a 

.002 

.00001 

33             .023 

.00006 

4 

.167 

.00046 

4 

.003 

.00001 

34 

.024 

.00006 

5 

.208 

.OU057 

5 

.003 

.00001 

35 

.024 

.00007 

6 

.250 

.00068 

6 

.004 

.00001 

36 

.025 

.00007 

7 

.292 

.00080 

7 

.005 

.00001 

37 

.026 

.00007 

8 

.333 

.00091 

8 

.006 

.00002 

3s 

.026 

.00007 

9 

.375 

.00103 

9 

.006 

.00002 

39 

.027 

.00007 

10 

.417 

.00114 

10 

.007 

.00002 

40 

.028 

.00008 

11 

.453 

.00125 

11 

.008 

.00002 

41 

.028 

.00008 

12 

.500 

.00137 

12 

.008 

.00002 

42 

.029 

.00008 

13 

.542 

.00148 

13 

.009 

.00002 

43 

.030 

.00008 

14 

.583 

.00160 

14 

.009 

.00003 

44 

.031 

.00008 

15 

.625 

.00171 

15 

.010 

.00003 

45 

.031 

.00009 

16 

.667 

.00183 

16 

.010 

.00003 

46 

.032 

.00009 

17 

.708 

.00194 

17 

.011 

.00003 

47 

.033 

.00009 

18 

.750 

.00205 

18 

.012 

.00003 

48 

.033 

.00009 

19 

.792 

.00217 

19 

.013 

.00004 

49 

.034 

.00009 

20 

.833 

.00228 

20 

.014 

.00004 

50 

.035 

.00010 

21 

.875 

.00240 

21 

.01.^ 

.00004 

51 

.035 

.00010 

22 

.917 

.00251 

22 

.015 

.00004 

52 

.036 

.00010 

23 

0.958 

.00262 

23 

.016 

.00005 

53 

.037 

.(  «.-010 

24    1       1.000 

0.00274 

24 

.017 

.00005 

54 

.038 

.00010 

25 

.017 

.00005 

55 

.038 

.00010 

26 

.018 

.00005 

56 

.039 

.00011 

27 

.019 

.00005 

57 

.040 

.00011 

28 

.019 

.00005 

58 

.040 

,CCO  11 

29 

.020 

.00006 

59 

.041 

.0001  1 

- 

30 

0.021           0.00006 

60 

0.042 

0.0001  1 

GENERAL  TABLES. 


TABLE  IV.—  Fraction  of  the  year  elapsed  from  Jan.  0  in  common  years,  Jan.  1  in  bis- 

sextile years,  to  the  midnight  of  each  day  of  the  year. 

DAY. 

DAY. 

Fraction  of  year. 

Fraction  of  year. 

Day. 

Fraction  of 
year. 

Com.  year. 

Bis.  year. 

Com.  year.   Bis.  year. 

y 

y 

y 

Jan.   0 

Jan.   1 

0.00137 

Feb.  22  Feb.  23 

0  .14648 

Apr.  16 

0.29159 

1 

2 

.00411 

23      24 

.14922 

17 

.29433 

2 

3 

.00684 

24      25 

.15195 

18 

.29706 

3 

4 

.00958 

25      26 

.15469 

19 

.29980 

4 

5 

.01232 

26      27 

•15743 

20 

.30254 

5 

6 

.01506 

27       28 

.16017 

21 

.30528 

6 

7 

.01780 

28      29 

•16291 

22 

•30801 

7 

8 

.02053 

Mar.   1 

.16564 

23 

.31075 

8 

9 

.02327 

2 

.16838 

24 

•31349 

9 

10 

.02601 

3 

.17112 

25 

•31623 

10 

11 

.02875 

4 

.17386 

26 

•31897 

11 

12 

•03149 

5 

.17660 

27 

•32170 

]O 

13 

•03422 

6 

.17933 

28 

•32444 

]3 

14 

•03696 

7 

.18207 

29 

•32718 

14 

15 

•03970 

8 

•18481 

30 

•32992 

15 

16 

.04244 

9 

.18755 

May   1 

•33266 

]6 

17 

•04518 

10 

.19028 

2 

.33539 

17 

18 

•04791 

11 

.19302 

3 

.33813 

18 

19 

•05065 

18 

.19576 

4 

•34087 

J9 

20 

•05339 

13 

•19850 

5 

•34361 

20 

21 

.05613 

14 

.20124 

6 

•34635 

21 

22 

.05887 

15 

.20397 

7 

•34908 

22 

23 

.06160 

16 

.20671 

8 

•35182 

23 

24 

.06434 

17 

.20945 

9 

•35456 

24 

25 

.06708 

18 

.21219 

10 

.35730 

25 

26 

.06982 

19 

.21493 

11 

.36004 

2(5 

27 

.07255 

20 

.21766 

12 

•36277 

27 

28 

.07529 

21 

.2'>040 

13 

.36551 

28 

29 

.07803 

22 

.22314 

14 

.36825 

29 

30 

.08077 

23 

.22588 

15 

.37099 

30 

31 

.08351 

24 

.22862 

16 

•37372 

31 

Feb.   1 

.08624 

25 

.23135 

17 

•37646 

Feb.   1 

2 

.08898 

26 

.23409 

18 

•37920 

2 

3 

.09172 

27 

.23683 

19 

•38194 

3 

4 

•09446 

28 

.23957 

20 

•38468 

4 

5 

.09720 

29 

.24230 

21 

.38741 

5 

6 

.09993 

30 

.24504 

22 

•39015 

6 

7 

.10267 

31 

.24778 

23 

•39289 

7 

8 

•10541 

Apr.   1 

.25052 

24 

•39563 

8 

9 

.10815 

2 

.25326 

25 

•39837 

9 

10 

•11089 

3 

.25599 

26 

•40110 

10 

11 

.11362 

4 

.25873 

27 

•40384 

11 

12 

.11636 

5 

.26147 

28 

•40658 

12 

13 

.11910 

6 

.26421 

29 

•40932 

13 

14 

•12184 

7 

.26695 

30 

•41206 

14 

15 

.12457 

8 

.26968 

31 

.41479 

15 

16 

.12731 

9 

.27242 

June  1 

•41753 

16 

17 

.13005 

10 

.27516 

2 

•42027 

17 

18 

.13279 

11 

.27790 

3 

.42301 

18 

19 

.13553 

12 

.28064 

4 

•42574 

19 

20 

.13826 

13 

.28337 

5 

•42848 

20 

21 

.14100 

14 

.28611 

6 

•43122 

21 

22 

0.14374 

15 

0.28885 

7 

0  .43396 

For  noon  subtract  0. 00137. 


GENERAL  TABLES. 


TABLE  I?.—  Fraction  of  tbc  year  elapsed  from  Jan.  0  in  common  years,  Jan.  1  in  bis- 

sextile years,  to  the  midnight  of  each  day  of  the  year. 

Day. 

Fraction  of  year. 

Day. 

Fraction  of 
year. 

Day. 

Fraction  of 
year. 

Day. 

Fraction  of 
year. 

June  8 

07.43670 

July  30 

0^57907 

Sept.  20 

0^72144 

Nov.  11 

0^86381 

9 

.43943 

31 

.58181 

21 

.72418 

12 

.86655 

10 

.44217 

Aug.  1 

.58454 

22 

.72691 

13 

.86929 

11 

.44491 

2 

.58728 

23 

.72965 

14 

.87202 

12 

.44765 

3 

.59002 

24 

.73239 

15 

.87476 

13 

.45039 

4 

.59276 

25 

.73513 

16 

.87750 

14 

.45312 

5 

.59550 

26 

.73787 

17 

.88024 

15 

.45586 

6 

.59823 

27 

.74060 

18 

.88298 

16 

.45860 

7 

.60097 

28 

.74334 

19 

.88571 

17 

46134 

8 

,60371 

29 

.74608 

20 

•88845 

18 

46408 

9 

.60645 

30 

.74882 

21 

.89119 

19 

.46681 

10 

.60918 

Oct.   1 

.75156 

22 

.89393 

20 

.46955 

11 

.61192 

2 

.75429 

23 

.89667 

21 

47229 

12 

.61466 

3 

.75703 

24 

•89940 

22 

47503 

13 

.61740 

4 

.75977 

25 

.90214 

23 

.47777 

14 

.62014 

5 

.76251 

26 

.90488 

24 

.48050 

15 

.62287 

6 

.76525 

27 

.90762 

25 

.48324 

16 

.62561 

7 

.76798 

28 

.91035 

26 

.48593 

17 

.62835 

8 

.77072 

29 

.91309 

27 

.48872 

18 

.63109 

9 

.77346 

30 

.91583 

28 

•49145 

19 

•63383 

10 

•77620 

Dec.   1 

.91857 

29 

•49419 

20 

•63656 

11 

•77894 

2 

.92131 

30 

•49693 

21 

•63930 

12 

•78167 

3 

.92404 

July  1 

•49967 

22 

•64204 

13 

•78441 

4 

.92678 

2 

•50241 

23 

•64478 

14 

•78715 

5 

.92952 

3 

•50514 

24 

.64752 

15 

.78989 

6 

.93226 

4 

•50788 

25 

.65025 

16 

•79262 

7 

.93500 

5 

•51062 

26 

.65299 

17 

.79536 

8 

.93773 

6 

•51336 

27 

.65573 

18 

.79810 

9 

.94047 

7 

.51610 

28 

•65847 

19 

.80084 

10 

.94321 

8 

.51883 

29 

.66121 

20 

.80358 

11 

.94595 

9 

.52157 

30 

.66394 

21 

.80631 

n 

.94869 

10 

.52431 

31 

.66668 

22 

.80905 

13 

.95142 

11 

.52705 

Sept.  I 

.66942 

23 

.81179 

14 

.95416 

12 

.52979 

2 

.67216 

24 

.81453 

15 

.95690 

13 

.53252 

3 

.67489 

25 

.81727 

16 

.95964 

14 

.53526 

4 

.67763 

26 

.82000 

17 

.96238 

15 

.53-iOO 

5 

.68037 

27 

.82274 

18 

.96511   • 

16 

.54074 

6 

.68311 

28 

.82548 

19 

.96785 

17 

.54348 

7 

.68585 

29 

.82822 

20 

.97059 

18 

•54621 

8 

.68858 

30 

•83096 

21 

.97333 

19 

•54895 

9 

.69132 

31 

.83369 

22 

.97606 

20 

•55169 

10 

.69406 

Nov.   1 

.83643 

23 

.97880 

21 

•55443 

11 

•69680 

2 

.83917 

24 

.93154 

22 

.55716 

12 

.69954 

3 

.84191 

25 

.98428 

23 

.55990 

13 

.70227 

4 

.84465 

26 

.98702 

24 

.56264 

14 

.70501 

5 

.84738 

27 

.98975 

25 

.56538 

15 

.70775 

6 

.85012 

28 

.99249 

26 

.56812 

16 

.71049 

7 

.85286 

29 

.99523 

27 

.57085 

17 

.71323 

8 

.85560 

30 

0  .99797 

28 

.57359 

18 

.71596 

9 

.85833 

31 

1  .00071 

29 

0  .57633 

19 

0.71870 

10 

0.86107 

32 

1  .00344 

For  noon  subtract  0. 00137. 


8 


GENERAL  TABLES. 


TABLE  Y.—  Precession.  Motion  of  Ecliptic. 

ANNUAL  PRECESSION. 

Year. 

m 

m 

n 

log  w 

7T 

M 

Lunisolar. 

General. 

// 

// 

n 

n 

// 

o   /  // 

1750 

50.3906 

50.2298 

46.0480 

3,06987 

20.0650 

1.302439 

0.4779 

172  17  50 

55 

.38U6 

.2309 

.0495 

.06997 

.0646 

430 

79 

20  36 

CO 

.3885 

.2320 

.0509 

.07006 

.0641 

421 

79 

23  22 

65 

.3874 

.2332 

.0523 

.07016 

.0637 

411 

78 

26  8 

70 

.3863 

.2343 

.0537 

.07025 

,0633 

402 

78 

28  54 

1775 

50.3852 

50.2354 

46.0552 

3.07035 

20.0629 

1.302393 

0.4778 

172  31  40 

80 

.3841 

.2366 

.0566 

.07044 

.0624 

383 

77 

34  26 

85 

.3830 

.2377 

.0580 

.07054 

.0620 

374 

77 

37  13 

90 

.3820 

.2388 

.0594 

.07063 

.0616 

365 

77 

39  59 

95 

.3809 

.2400 

.0609 

.07073 

.0611 

355 

76 

42  45 

1800 

50.3798 

50.2411 

46.0623 

3.07082 

20.0607 

1.302346 

04776 

172  45  31 

05 

.3787 

.2422 

.0637 

.07091 

.0603 

337 

76 

48  17 

10 

.3776 

.2434 

.0651 

.07101 

.0598 

327 

75 

51  3 

15 

.3765 

.2445 

.0666 

.07110 

.0594 

318 

75 

53  49 

20 

.3755 

.2456 

.0680 

.07120 

.0590 

309 

75 

56  36 

1825 

50.3744 

50.2468 

46.0694 

3.07129 

20.0585 

1.302299 

0.4774 

172  59  22 

30 

.3733 

.2479 

.0708 

.07139 

.0581 

290 

74 

173  2  8 

35 

.3722 

.2490 

.6723 

.07148 

.0577 

281 

74 

4  54 

40 

.3711 

.2502 

.0737 

.07158 

.0572 

271 

73 

7  40 

45 

.3700 

.2513 

.0751 

.07167 

.0568 

262 

73 

10  28 

1850 

50.3690 

50.2524 

46.0765 

3.  07  177 

20.0564 

1.302253 

0.4772 

]73  13  J2 

55 

.3679 

.2536 

.0780 

.07187 

.0559 

244 

72 

15  £9 

60 

.3668 

.2547 

.0794 

.07196 

.0555 

234 

72 

18  45 

65 

.3657 

.2559 

.0808 

.07206 

.0551 

225 

71 

21  31 

70 

.3646 

.2570 

.0822 

.07215 

.0547 

216 

71 

24  17 

1875 

50.3635 

50.2581 

46.0837 

3.07225 

20.0542 

1.302206 

0.4771 

173  27  3 

80 

.3624 

.2593 

.0851 

.07234 

.0538 

197 

70 

29  49 

85 

.3614 

.2604 

.0865 

.07244 

.0531 

187 

70 

32  35 

90 

.3603 

.2615 

.0879 

.07253 

.0529 

178 

70 

35  22 

95 

.3592 

.2627 

.0894 

.07263 

.0525 

169 

69 

38  8 

1900 

50.3581 

50.2638 

46.0908 

3.07272 

20.0521 

1.302159 

0.4769 

173  40  54 

MOTION. 

Yrs. 

n 

// 

n 

s 

a 

/  " 

1 

—0.0002.2 

-fO.0002.3 

+0.0002.8 

-j-0.00001.9 

—0.0000.9 

—0.000002 

-f  0  33 

2 

04.3 

04.5 

05.7 

3.8 

1.7 

04 

1  6 

3 

06.5 

06.8 

08.5 

5.7 

2.6 

06 

1  40 

4 

08.7 

09.1 

11.4 

7.6 

3.5 

08 

2  13 

5 

10.8 

11.3 

14.2 

9.5 

4.3 

09 

2  46 

10 

0.0021.7 

0.0022.7 

O.G028.5 

0.00019.0 

0.0008.6 

0.000019 

5  32 

ANNUAL  PKECESSION  OF  FIXED  STARS. 

In  Right  Ascension,  Aa  =  m  -f-  n  sin  a  tan  6 

In  Declination,     A6  =  n  cos  a 

'  In  Longitude,     ^  =  Gen.  Free,  -f  TT  cos  (A  —  Jtf  )  tan  j3 

In  Latitude,       A/3  =  -  TT  sin  (A  —  M) 

GENERAL  TABLES. 


TABLE  VI.—  Arguments  of  Aberration  and  Nutation;  Mean  Obliquity  of  the  Ecliptic;  Time 

from  beginning  of  Fictitious  year. 

For  Washington  Mean  Noon  of  Jan.  0  in  common  years,  Jan.  1  in  bissextile  years. 

Arguments  — 

Time  from  beginning  of  fictitious  year. 

Mean  ObMquity 

Year. 

of  Ecliptic. 

I. 

II. 

in. 

In  hours,  &c. 
ft 

In  days. 
k1 

In  vears. 
"k1 

d 

d 

d 

o      /        // 

h    m      a 

d 

y 

1750               1.921 

2.0 

4-1505.09 

23  28  17.44 

+  5  31  58.0 

+0.231 

+0.00063 

1751 

1.679 

20 

1370.09 

16.98 

—  0  16  50.1 

—0.012 

—0.00003 

1752  B 

2.436 

2.0 

2236.09 

16.51 

+17  54  21.8 

+0.746 

+0.00204 

1753 

2.J93 

2.1 

2601.09 

16.05 

12    5  33.7 

0.504 

.001:38 

1754 

1.950 

2.1 

2966.09 

15.58 

6  16  45.6 

0.262 

.00072 

1755 

1.707 

2.1 

+3331.09 

23  28  15.12 

0  27  57.6 

0.019 

.00005 

1756  B 

2.465 

2.1 

—3101.30 

14.65 

18  39    9.5 

0.777 

.00213 

1757 

2.222 

2.1 

2736.30 

14.19 

12  50  21.4 

O.r-35 

.00146 

1753 

1.979 

•J.I 

2371.30 

13.72 

7     1  33.3 

0.293 

.00080 

1759 

1.736 

2.1 

2006.30 

13.26 

1  12  45.3 

0.051 

.00014 

1760  B          2.493 

2.1 

1640.30 

23  23  12.80 

19  23  57.2 

0.808 

.00222 

J761               2.251 

2.1 

1275.30 

12.34 

13  35    9.2 

0.566 

.00155 

1762              2.008 

2.1 

910.30 

11.87 

7  46  21.1 

0.324 

.00089 

1763               1.765 

2.1 

545.30 

11.41 

1  57  33.1 

0.082 

.00022 

1764  B          2.522 

2.1 

-  179.30- 

10.94 

20    8  45.1 

0.839 

.00230 

1765              2.279 

2.1 

-|-  185.70 

23  28  10.48 

14  19  57.1 

0.597 

.00164 

17G6              2.037 

2.1 

550.70 

10.01 

8  31    9.0 

0.355 

.00097 

1767               1.794 

2.1 

915.70 

9.55 

V  42  21.0 

0.113 

.00031 

1763  B 

2.  551 

2.1 

1281.70 

9.08 

20  53  33.0 

0.871 

.00238 

1769 

2.303 

2.1 

1646.70 

8.62 

15    4  45.0 

0.628 

.00172 

1770 

2.065 

2.1 

2011.70 

23  28    8.15 

9  15  57.0 

0.386 

.00106 

1771 

1.823 

2.1 

2:376.70 

7.69 

3  27    9.0 

0.144 

.00039 

1772  B 

2.580 

2.2 

2742.70 

7.22 

21  38  21.1 

0.902 

.00247 

1773 

2.337 

2.2 

-j-3107.70 

6.76 

15  49  33.1 

0.659 

.00181 

1774 

2.094 

2.2 

—3325.69 

6.29 

10    0  45.1 

0.417 

.00114 

J775 

1.851 

22 

2960.69 

23  23    5.63 

4  11  57.2 

0.175 

.00048 

1776  B 

2.609 

2.2 

2594.69 

5.36 

22  23    9.2 

0.933 

.00255 

1777 

2.366 

2.2 

2229.69 

4.90 

16  34  21.2 

0.691 

.00189 

1778 

2.123 

2.2 

1864.69 

4.43 

10  45  33.3 

0.448 

.00123 

1779               1.880 

2.2 

1499.69 

3.97 

4  56  45.4 

0.206 

.00057 

1780  B          2.637 

2.2 

1133.69 

23  23    3.51 

23    7  57.4 

0964 

.00264 

1781 

2.395 

2.2 

768.69 

3.05 

17  19    9.5 

0.722 

.00193 

1782 

2.152 

2.2 

403.69 

2.58 

11  30  21.6 

0.479 

.00131 

17-3 

1.909 

2.2 

—    38.69 

2.12 

5  41  33.7 

0.237 

.000(55 

1784  13          2.666 

2.2 

+  327.31                     1.65 

23  52  45.8 

0.995 

.00272 

1785              2.423 

2.2 

692.31 

23  23    1.19 

18    3  57.8 

0.753 

.00203 

1786 

2.181 

2.2 

1057.31 

0.72 

12  15    9.9 

0.511 

.00140 

J787 

1.938 

2.2 

1422.31 

23  23    0.26 

6  26  22.1 

0.268 

.00074 

1788  B 

2.695 

2.2 

1788.31 

23  27  59.79 

24  37  34.2 

1.026 

.00281 

1789 

2.452 

2.2 

2153.31 

59.33 

18  48  46.3 

0.784 

.00215 

1799 

2.209 

22 

2518.31 

23  27  58.86 

12  59  58.4 

0.542 

.00148 

1791 

1.967 

2.3 

2883.31 

58.40 

7  11  10.5 

0.299 

.00082 

1792  B 

2.724 

2.3 

+3249.31 

57.93 

25  22  22.7 

1.057 

.00290 

1793 

2.481 

2.3 

—3184.08 

57.47 

19  33  34.8 

0.815 

.00223 

1794 

2.238 

2.3 

2819.08 

57.00 

13  44  47.0 

0.573 

.00157 

1795 

1.995 

2.3 

2454.08 

23  27  56.54 

7  55  59.1 

0.331 

.00091 

1796  B 

2.753 

2.3 

2088.08 

56.07 

26    7  11.3 

1.083 

.00298 

1797 

2.510 

2.3 

1723.08 

55.61 

20  18  23.5 

0.846 

.00232 

1798 

2.257 

2.3 

1358.08 

55.14 

14  29  35.6 

O.C04 

.CO  165 

1799 

2.024 

2.3 

—  993.08 

23  27  54.63 

4-  8  40  47.8 

+0.l>62 

+O.CGG99 

10 


GENERAL  TABLES. 


TABLE  VI.—  Arguments  of  Aberration  and  Nutation;  Mean  Obliquity  of  the  Ecliptic;  Time 

from  beginning  of  Fictitious  year. 

For  Washington  Mean  Noon  of  Jan.  0  in  common  years,  Jan.  1  in  bissextile  years. 

Arguments— 

Time  from  beginning  of  fictitious  year. 

Year. 

Mean  Obliquity  of 
Ecliptic. 

I. 

II. 

III. 

In  hours,  &c. 
k 

In  days. 

In  years. 

d 

d 

d 

O          1       II 

b    m      8 

d 

y 

J800 

.781 

2.3 

—  628.08 

23  27  54.22 

+  2  52    0.0 

+0.119 

+  0.00033 

1801 

.539 

•  2.3 

—  263.08 

53.76 

—  2  56  47.8 

—0.123 

—    .00033 

1802 

.2(J6 

2.3 

+  101.93 

53.29 

—  8  45  35.6 

—0.365 

—    .00100 

1803 

.053 

2.3 

466.93 

52.83 

—14  34  23.4 

.    —0.607 

—    .00166 

1804  B 

.810 

2.3 

832.93 

52.36 

+  3  36  48.8 

+0.  151 

+    .00041 

18C5 

.568 

2.3 

1  197.93 

23  27  51.90 

—  2  11  59.0 

—0.092 

—   .00025 

1806 

.325 

2.3 

1562.93 

51.43 

—  8    0  46.8 

—0.334 

—   .00091 

1807 

.082 

2.3 

1927.93 

50.97 

—13  49  34.5 

—0.576 

—   .00158 

1808  B 

.839 

2.3 

2293.93 

50.50 

+  4  21  37.7 

+0.182 

+   .00050 

1809 

.596 

2.4 

2668.93 

50.04 

—  1  27  10.1 

—0.061 

—   .00016 

1810 

.354 

2.4 

3023.93 

23  27  49.58 

—  7  15  57.8 

—0.303 

—   .COC83 

1811 

.111 

2.4 

-1-3388.93 

49.12 

—13    4  45.6 

—0.545 

—   .00149 

1812  B 

.868 

2.4 

—3U43.  46 

48.65 

+  56  26  .7 

+0.213 

+    .000f,8 

1813 

.625 

2.4 

2078.46 

48.19 

—  0  42  21.1 

—0.029 

—   .00008 

1814 

.382 

2.4 

2313.46 

47.72 

—  6  31    8.8 

—0.272 

—   .00074 

1815 

.140 

2.4 

1948.46 

23  27  47.26 

—12  19  56.5 

—0.514 

—   .00140 

1816B 

.897 

2.4 

1582.46 

46.79 

+  5  51  15.8 

+0.244 

+    .00067 

18J7 

.654 

2.4 

1217.46 

46.33 

+  02  28.1 

+0.002 

+    .00001 

IBIS 

.411 

24 

852.46 

45.86 

—  5  46  19.6 

—0.241 

—    .OOOC6 

1819 

.168 

2.4 

487.46 

45.40 

—11  35    7.3 

—0.483 

—   .00132 

I820B 

.926 

2.4 

—  121.46 

23  27  44.93 

+  6  36    5.0 

+0.275 

+    .00076 

1821 

.683 

2.4 

+  243.55 

44.46 

+  0  47  17.3 

+0.033 

+    .00009 

1822 

.440 

2.4 

608.55 

44.00 

—  5    1  30.4 

—0.209 

—   .00057 

1823 

.197 

2.4 

973.55 

43.54 

—10  50  18.1 

—0.452 

—    .00124 

1824  B 

.955 

2.4 

1339.55 

43.07 

+  7  20  54.2 

+0.306 

+    .00084 

1825 

.712 

2.4 

1704.55 

23  27  42.61 

+  1  32    6.6 

+0.064 

+    .C0017 

1826 

.469 

2.4 

2069.55 

42.14 

—  4  16  41.1 

—0.178 

—    .C0049 

1827 

.226 

2.4 

2434.55 

41.68 

—  10    5  28.7 

—0.420 

—   .00115 

1828  B 

.984 

2.5 

2800.55 

41.21 

+  85  43.6 

+0.337 

+    .00092 

1829 

.741 

2.5 

+3165.55 

40.75 

+  2  16  56.0 

+O.C95 

+    .00026 

1830 

1.408 

2.5 

-3267.84 

23  27  40.29 

—  3  31  51.7 

—0.147 

—   .00040 

1831 

1  .255 

2.5 

21)02.8-4 

39.83 

—  9  20  39.3 

—0.389 

—   .00107 

1832B 

2.012 

2.5 

2536.84 

39.36 

+  8  LO  33.1 

+0.368 

+    .00101 

1833 

1.770 

2.5 

2171  84 

38.90 

+  3    1  45.5 

+0.126 

+    .00035 

1834 

1.527 

2.5 

1806.84 

38.43 

—  2  47    2.1 

—0.116 

—    .00032 

1835 

1.284 

2.5 

1441.84 

23  27  37.97 

—  8  35  49.8 

—0.358 

—   .00098 

1836  B 

2.041 

2.5 

1075.84 

37.50 

+  9  35  22.6 

+0.400 

+   .00109 

1837 

1.799 

2.5 

710.84 

37.04 

+  3  46  35.0 

+0.157 

+   .00043 

1838 

1.556 

2.5 

—  345.84 

36.57 

—  2    2  12.6 

—  O.C85 

—    .00023 

1839 

1.313 

2.5 

-j-     19.17 

36.11 

—  7  51     0.1 

—0.327 

—   .00090 

1840B 

2.070 

2.5 

385.17 

23  27  35.64 

+10  20  12.3 

+0.431 

+   .00118 

1841 

1.827 

2.5 

750.17 

35.18 

+  4  31  24.7 

+0.188 

+   .00052 

1842 

1.585 

2.5 

1115.17 

34.71 

—  1  17  22.9 

—0.054 

—   .('(1015 

1843 

1  342 

2.5 

1480.17 

34.25 

—  7    6  10.4 

—0.296 

—    .00081 

1844B 

2C99 

2.5 

1846.17 

33.78 

+11    5    2.0 

+U.462 

+   .001  26 

1845 

1.856 

2.5 

2211.17 

23  27  33.32 

+  5  16  14.5 

+o/jeo 

+    .00060 

1846 

1.614 

2.5 

2576.17 

32.85 

—  0  32  33.1 

—  0.123 

—   .00006 

1847 

1.371 

2.6 

2941.17 

32  39 

—  6  21  20.6 

—0.^65 

—   .GG072 

1848B 

2.128 

2.6 

-f-3307.17 

31.92 

+11  4951.9 

+0.493 

-'-    .00535 

1849 

1.885 

2.6 

—31*6.22 

23  27  31.46 

+  6     1     4.4 

+0.^51 

+0  .CCOG9 

GENERAL  TABLES. 


11 


TABLE  VI.—  Arguments  of  Aberration  and  Nutation;  Mean  Obliquity  of  the  Ecliptic;  Time 

from  beginning  of  Fictitious  year. 

For  Washington  Mean  Noon  of  Jan.  0  in  common  years,  Jan.  1  in  bissextile  years. 

Arguments  — 

Time  from  beginning  of  fictitious  year. 

Year. 

Mean  Obliquity  of 
Ecliptic. 

" 

I. 

II. 

in. 

In  hours,  &c. 
k 

In  days. 

In  years. 

d 

d 

d 

Q       i      n 

h    m      8 

d 

y 

1850 

1.642 

2.6 

—2761.22 

23  27  31.00 

+  0  12  16.8 

+0.009 

+  0.00002 

1851 

1.400 

2.6 

2396.22 

30.54 

—  5  36  30.7 

—0.234 

—   .00064 

1852  B 

2.157 

2.6 

2030.22 

30.07 

+12  34  41.8 

+0.524 

+   .00144 

1853 

1.914 

2.6 

1665.22 

29.61 

+  6  45  54.3 

+0.282 

+    .00077 

1854 

1.671 

2.6 

1300.22 

29.14 

+  0  57    6.7 

+0.040 

+    .00011 

1855 

1.429 

2.6 

935.22 

23  27  28.68 

—  4  51  40.7 

—0.203 

—   .00055 

185(5  B 

2.186 

2.6 

569.22 

28.21 

+13  19  31.9 

+0.555 

+    .00152 

1857 

1.943 

2.6 

—  204.22 

27.75 

+  7  30  44.4 

+0.313 

+   .00086 

1858 

1.700 

2.6 

+  160.78 

27.28 

+  1  41  56.9 

+0.071 

+   .00019 

1859 

1.457 

2.6 

525.78 

26.82 

—  4    6  50.6 

—0.171 

—    .00047 

1860  B 

2.215 

2.6 

891.78 

23  27  26.35 

+14    4  22.0 

+0.586 

+    .00161 

1861 

1.972 

2.6 

1256.78 

25.89 

+  8  15  34.5 

+0.344 

+   .00094 

1862 

1.729 

26 

1621.78 

25.42 

+  2  26  47.1 

+0.102 

+   .00028 

1863 

1.486 

2.6 

1986  78 

24.96 

—  3  22    0.4 

—0.140 

—   .00038 

1864  B 

2.244 

2.6 

2352.78 

24.49 

+14  49  12.2 

+0.618 

+    .CO  169 

1865 

2.001 

2.6 

2717.78 

23  27  24.03 

+90  24.8 

+0.375 

+    .00103 

1866 

1.758 

27 

+3082.78 

23.56 

+  3  11  374 

+0.133 

+   .00036 

1867 

1515 

2.7 

—3350.61 

23.10 

—  2  37  10.1 

—0.109 

—   .'0030 

18G8B 

2.273 

2.7 

2984.61 

22.63 

+15  34    2.5 

+0.649 

+   .00178 

1869 

2.030 

2.7 

2619.61 

22.17 

+  9  45  15.1 

+0.406 

+    .00111 

1870 

1.787 

2.7 

2254.61 

23  27  21.71 

+  3  56  27.7 

+0.164 

+    .00045 

1871 

1.544 

2.7 

18S9.61 

21.25 

—  1  52  19.7 

—0.078 

—   .00021 

1872B 

2.301 

2.7 

152361 

20.78 

+16  18  53.0 

+0.680 

+   .00186 

J873 

2.059 

2.7 

1158.61 

20.32 

+10  30    5.6 

+0.438 

+    .00120 

J874 

1.816 

2.7 

793.61 

19.85 

+  4  41  18.2 

+0.195 

+    .00054 

1875 

1.573 

2.7 

428.61 

23  27  19.39 

—  1    7  29.2 

—0.047 

—   .00013 

1876B 

2.330 

2.7 

—    62.61 

18.92 

+17    3  43.5 

+0.711 

+    .00195 

1877 

2.088 

2.7 

+  302.40 

18.46 

+11  14  56.1 

+0.469 

+    .00128 

1878 

1.845 

2.7 

667.40 

17.99 

+  5  26    8.8 

+0.226 

+   .00062 

1879 

1.602 

2.7 

1032.40 

17.53 

—  0  22  38.6 

—0.016 

—   .00004 

1880B 

2.359 

2.7 

1398.40 

23  27  17.06 

+17  48  34.1 

+0.742 

+    .00203 

1881 

2.117 

2.7 

1763.40 

16.60 

+11  59  46.7 

+0.500 

+   .00137 

1882 

1.874 

2.7 

2128.40 

16.13 

+  6  10  59.4 

+0.258 

+    .00071 

1883 

1.631 

2.7 

2493.40 

15.67 

+  0  22  12.1 

+0.015 

+    .00004 

1864  B 

2.388 

2.7 

2859.40 

15.20 

+18  33  24.8 

+0.773 

+    .00212 

1885 

2145 

2.8 

+3224.40 

23  27  14.74 

+12  44  37.5 

+0.531 

+    .00145 

1886 

1.903 

2.8 

—3208.99 

14.27 

+  6  55  50.2 

+0.289 

+   .00079 

1887 

1.660 

2.8 

2343.99 

13.81 

+  1     7    2.9 

+0.047 

+   .00013 

1888B 

2.417 

2.8 

2477.99 

13.34 

+19  18  15.6 

+0.804 

+    .00220 

1889 

2.174 

2.8 

2112.99 

12.88 

+13  29  28.3 

+0.562 

+    .00154 

1890 

1.931 

2.8 

1747.99 

2?  2-7  12  42 

+  7  40  41.0 

+0.320 

+    .00088 

1891 

1.689 

2.8 

1382.99 

'    11.96 

+  1  51  53.7 

+0.078 

+   .00023 

1892B 

2.446 

2.8 

1016.99 

11.49 

+20    3    6.5 

+0.8% 

+   .00229 

1893 

2.203 

2.8 

651.99 

11.03 

+14  14  19.2 

+0.593 

+    .00163 

1894 

1.960 

2.8 

—  286.99 

10.56 

+  8  25  32.0 

+0.351 

+    .00096 

1895 

1.718 

2.8 

+    78.00 

23  27  10.10 

+  2  36  44.7 

+0.109 

+    .00030 

1896  B 

2.475 

2.8 

444.00 

9.63 

+20  47  57.5 

+0.867 

+    .00237 

1897 

2  232 

2.8 

809.00 

9.17 

+14  59  10.2 

+0.624 

+   .00171 

1898 

1.989 

2.8 

1174.00 

8.70 

+  9  10  23.0 

+0.382 

+    .00105 

1899 

1.747 

2.8 

1539.00 

8.24 

+  3  21  35.8        +0.140 

+   .C0039 

1900 

1.504 

2.8       +1904.00 

23  27    7.77 

—  2  27  11.5        —0.102 

—  0.00028 

12 


GENERAL  TABLES. 


TABLE  VIL-1850. 

Secular  IlSCfiliality  Of  Arg.  I:                          Arg  —  Arg.  II  +  d'  +  day  of  year. 

Precession  for  eacli  10  days:     ....     Arg.  =  Number  of  days. 

Aberration  of  the  Sun's  Longitude  :     .  i  A 

>  Arg.  =  Arg.  I  +  d  +  Sec.  Ineq.  •*-  day  of  year. 

Solar  Nutation  :   > 

Solar  Nutation. 

Aberration 

Days. 

Arg.  1. 

Precession. 

of  the  Sun 
in  Long. 

In  Long. 

Diff.  for 
10  d. 

In  R.  As'n. 

Diff.  for 
10  d. 

Variation  of 
Obliquity. 

Diff.  for 
10  d. 

,, 

// 

n 

„ 

8 

s 

„ 

// 

0 

.000,01 

0.000 

—20.79 

-fO.37 

+.44 

+0.022 

+.027 

—0.54 

+.05 

10 

,00 

1.376 

.78 

0.79 

.38 

.048 

23 

.46 

.10 

20 

,02 

2.752 

.77 

1.12 

.27 

.069 

16 

.33 

.15 

30 

,05 

4.128 

.75 

1.32 

+.12 

.081 

+      7 

—0.16 

.18 

40 

,10 

5.503 

.71 

1.35 

—.04 

.083 

3 

+0.02 

.17 

50 

.000,16 

6.879 

—20.67 

+1.23 

.19 

+0.076 

12 

+0.19 

.15 

60 

,23 

8.255 

.62 

0.97 

.31 

.060 

20 

.33 

.11 

70 

,3<! 

9.631 

.57 

0.61 

.39 

.037 

25 

.42 

+.06 

80 

,41 

11.007 

.51 

+0.19 

.42 

+0.011 

26 

.45 

.00 

90 

,51 

12.383 

.45 

—0.24 

.41 

—0.015 

25 

.41 

—.07 

100 

.000,61 

13.758 

—20.39 

0.63 

.35 

—0.039 

21 

+0.31 

.12 

110 

,71 

15.134 

.34 

0.93 

.24 

.057 

15 

+0.16 

.16 

i    120 

,81 

16.510 

.28 

1.11 

—.11 

.068 

—     6 

—0.02 

.19 

1    130 

,90 

17.886 

.24 

1.15 

+.03 

.070 

+     2 

.22 

.20 

!    140 

,98 

19.262 

.19 

1.05 

.16 

.064 

10 

.41 

.18 

150 

.001,04 

20.638 

—20.16 

—0.83 

.27 

—0.051 

17 

^0.57 

.14 

160 

1.10 

22.013 

.13 

0.51 

.35 

.031 

21 

.69 

.09 

170 

1,14 

23.389 

.11 

—0.13 

.39 

—0.008 

23 

.75 

—.03 

180 

1,16 

24.765 

.10 

+0.27 

.38 

+0.016 

23 

.76 

+.02 

190 

1,17 

26.141 

.10 

0.63 

.33 

.039 

20 

.71 

.08 

200 

.001,16 

27.517 

—20.11 

+0.93 

.25 

+0.057 

15 

-0.60 

.12 

210 

1.14 

28.893 

.13 

1.12 

+.13 

.068 

+      8 

.46 

.15 

220 

1,C9 

30.268 

.16 

1.18 

—.01 

.072 

0 

.29 

.17 

230 

1,04 

31.644 

.20 

1.10 

.14 

.067 

—      8 

—0.12 

.16 

240 

0,97 

33.020 

.24 

0.89 

.26 

.055 

16 

+0.03 

.13 

250 

.000,89 

34.396 

—20.29 

+0.57 

.36 

+0.035 

22 

+0.14 

.08 

260 

,80 

35.772 

.34 

+0.17 

.41 

+0.010 

26 

.20 

+.03 

270 

,70 

37.148 

.40 

—0.26 

.42 

—0016 

26 

.20 

—.03 

280 

,60 

38524 

.46 

0.68 

.39 

.042 

23 

.14 

.09 

290 

,50 

39.899 

.52 

1.04 

.  .30 

.063 

18 

+0.02 

.14 

300 

.000,40 

41.275 

—20.58 

—1.28 

.18 

—0.078 

11 

—0.15 

.18 

310 

,31 

42.651 

.63 

1.38 

—  03 

.085 

n 

.35 

.20 

320 

,23 

44,027 

.68 

1.33 

+.13 

.081 

+      8 

.56 

.19 

330 

,15 

45,403 

.72 

1.12 

.27 

.069 

16 

.74 

.16 

340 

,09 

46.779 

.75 

0.78 

.38 

.048 

23 

.89 

.12 

350 

.000,05 

48.154 

—20.77 

—0.35 

.45 

—0.022 

27 

—0.99 

—.06 

360 

,02 

49,530 

.79 

+0.12 

.47 

+0.007 

28 

1.01 

+.01 

370 

.000,00 

50.906 

—20.79 

+0.58 

+.43 

+0.035 

+.026 

—0.97 

+.07 

The  secular  Inequality  of  Arg.  I  is  to  be  multiplied  by  (t  —  1850). 

The  variation  of  the  mean'  Obliquity,  —  0.4645  r,  is  combined  with  the  nutation. 

GENERAL  TABLES. 


13 


TABLE  VIII.—  Lunar  Nutation.—  1850.0 

TABLE  IX.—  Coefficients  and  Auxiliaries 

d 
Arg  =  Arg.  Ill  -f  d'  +  day  of  year  —  6793.39.  * 

for  computing  A,  3  aod  E. 

Lunar  Nutation. 

For  A 

For  I? 

Days. 

la  Long. 

Diff.  for 

ICO  d. 

In  R.  A. 

Diff.  for 

100  d. 

Of  Obli- 
quity. 

Diff.  for 
lUOd. 

Year. 

Coef.  of 
sin  ^ 

K 

Coef.  of 
cosQ 

K'. 

„ 

a 

8 

8 

„ 

a 

o        / 

// 

o         / 

0 

-f-o.oo 

-fl.55 

+0.000 

+.095 

+9.13 

—.00 

1750 

—.34106 

83    45 

-9.2226 

278    37 

100 

1.55 

1.55 

0.095 

94 

9.10 

.08 

1760 

109 

83    38 

27 

278    48 

200 

3.10 

1.53 

0.189 

94 

8.99 

.15 

1770 

112 

83    31 

28 

278    58 

300 

4.61 

1.50 

.  0.282 

92 

8.80 

.23 

1780 

115 

83    24 

29 

279      9 

400 

6.09 

1.46 

0.373 

89 

8.53 

.30 

1790 

118 

83    17 

30 

279     19 

500 

7.53 

1.41 

0.460 

86 

8.20 

.37 

1800 

221 

83    10 

-9.  2231 

279    29 

COO 

8.90 

1.34 

0.544 

82 

7.80 

.43 

1810 

224 

83      2 

32 

279    40 

700 

1020 

1.26 

0.624 

77 

7.34 

.50 

1820 

227 

82    55 

33 

279    50 

800 

11.42 

1.17 

0.698 

72 

6.81 

.56 

1830 

230 

82    48 

33 

280      0 

9CO 

12.54 

1.08 

0.767 

66 

6.22 

.62 

1840 

233 

82    41 

34 

280    11 

1000 

1357 

0.97 

0.830 

60 

5.58 

.67 

1850 

236 

82    34 

-9.  2235 

280    21 

1100 

14.48 

0.85 

0.886 

52 

4.89 

.71 

1860 

233 

82    27 

36 

280    31 

1200 

15.27 

0.74 

0.934 

45 

4.16 

.75 

1870 

242 

82    19 

37 

280    42 

1300 

15.95 

0.61 

0.975 

37 

3.40 

.78 

1880 

246 

82    12 

38 

280    52 

1400 

16.48 

0.47 

1.008 

29 

2.60 

.81 

1890 

249 

82      4 

39 

281       3 

1500 

16.88 

0.33 

1.033 

20 

1.78 

.83 

1900 

—  .  34252 

81    57 

-9.  2240 

281     13 

1600 

17.14 

0.19 

1.048 

11 

0.94 

.84 

1700 

17.25 

-J-0.04 

1.055 

_1_       O 

-4-0  00 

or: 

18CO 

17.21 

—0.11 

1.053 

T       <* 
—     7 

^~l_J»U*/ 

—0.77 

.CO 

.85 

Coef.  of 

Coef.  of 

Coef.  of 

Coef.  of 

1900 

17.03 

0.26 

1.041 

16 

1.62 

.84 

8in2  Q 

Bin(0--HK) 

cos  2  Q 

COS(0-K' 

2COO 

16.70 

0.41 

1.021 

25 

2.45 

.83 

tl 

n 

2100 

16.22 

0.55 

0.992 

34 

3.27 

.81 

1750 

+.  00296 

+0.  0897 

—  o.  ccr/3 

2200 

15.60 

0.69 

0.954 

42 

4.06 

.78 

1800 

+.  00410 

295 

96 

93 

2300 

14.85 

0.82 

0.908 

50 

4.82 

.74 

1850 

294 

96 

93 

2400 

13.96 

0.95 

0.854 

58 

5.54 

.70 

1900 

293 

95 

92 

2500 

12.95 

1.07 

0.792 

66 

6.21 

.65 

20CO 

11.82 

1.18 

0.723 

73 

6.83 

.59 

2700 

10.59 

1.28 

0.647 

79 

7.39 

.53 

Coef.  of 
Bin  2  0 

Coef.  cf 
6ia2  (T 

Coef.  of 

cos  20 

Coef.  of 
cos  2  C 

2800 

9.26 

1.38 

0.566 

84 

7.89 

.46 

2900 

7.84 

1.45 

0.480 

88 

8.31 

.39 

„ 

// 

3000 
3100 
3200 

6.36 

4.82 
3.23 

1.51 
1.57 

1.60 

0.389 
0.295 
0.198 

92 
96 

98 

8.67 
8.95 
9.15 

.32 
.24 
.16 

1750 
1800 
1650 

—  .  02519 

—  .  00405 

—0.  5510 
09 

08 

—  0.  0886 
86 
85 

3300 

+1.62 

1.62 

+0.099 

99 

9.27 

.08 

1900 

06 

80  \ 

3400 

—0.01 

1.63 

—0.001 

.100 

9.31 

—.00 

: 

3500 

1.64 

1.63 

0.100 

.099 

9.27 

+.08 

ForE 

For  A 

3600 

3.26 

1.60 

0.199 

98 

9.15 

.16 

3700 

4.84 

1.57 

0.296 

96 

8.95 

.24 

Coef.  of 

Coef.  of 

Coef.  of 

Coef.  of 

3800 

6.39 

1.52 

0.391 

92 

8.66 

.32 

•fa  a 

sinSQ 

bin  20 

sin(C—  T't 

3900 

—7.88 

—1.45 

—0.482 

—.088 

—8.30 

+.39 

// 

//                     a 

1750 

—  0.  0553 

+0.0015  i—  0.  CG40 

When  the  Arg.  is  negative  the  sign  of  the  nutation 

1800 

518 

15 

37 

+.C0135 

in  Long,  and  R.  A.  must  be  changed;  the  sign  of 

1850 

483 

14 

35 

the  nutation  of  the  Obliquity  remains  the  same. 

1900 

449 

14 

32 

i 

*  The  last  term  is  used  when  Arg.  >  3900. 


GENERAL  TABLES. 


TABLE  X.—  The  Quantities  A0  and  B©.—  1  850.0. 

A0  =  —  0.02519  sin  2  ©  -f  0.00294  sin  (0  +  82°  34'). 
130  =  —  0".5508  cos  2  0  —  0".0093  cos  (©  +  280°  21'). 
Arg.  =  Arg.  I  -f-  d'  -f-  Inequal.  -f  day  of  year. 

Arg. 

A0 

B0 

Arg. 

Ao 

B0 

Arg. 

A0 

B0 

Arg. 

A0 

B0 

0 

-f  .00726 

+0'.5364 

55 

-}-  .02223 

—  0'.3388 

110 

—  .01845 

—  o'.3034 

165 

—  .00644 

+0'.5183 

1 

.00817 

.5304 

56 

.02171 

.3538 

111 

.01892 

.2876 

166 

.00567 

.5233 

2 

.00907 

.5238 

57 

.02114 

.3636 

112 

.01937 

.2714 

167 

.00491 

.5277 

3 

.00995 

.5165 

58 

.02056 

.3827 

113 

.01979 

.2549 

163 

.00414 

.5315 

4 

.01082 

.5085 

59 

.01996 

.3965 

114 

.02018 

.2382 

169 

.00336 

.5346 

5 

.01168 

.4998 

60 

.01934 

.4096 

115 

.02055 

.2212 

170 

.00258 

.5372 

6 

.01253 

.4906 

61 

.01869 

.-1224 

116 

.02090 

.2040 

171 

.00179 

.5392 

7 

.01336 

.4808 

62 

.01802 

.4346 

117 

.02121 

.1866 

172 

.00100 

.5407 

8 

.01417 

.4703 

63 

.01735 

.4463 

118 

.02149 

.1689 

173 

—  .00021 

.5415 

9 

.01496 

.4592 

64 

.01663 

.4574 

119 

.02176 

.1511 

174 

-f  .00058 

.5417 

10 

.01574 

.4477 

65 

.01592 

.4680 

120 

.02199 

.1331 

175 

.00137 

.5413 

11 

.01649 

.4355 

66 

.01518 

.4779 

121 

.02220 

.1149 

176 

.00216 

.5402 

12 

.01724 

.4228 

67 

.01442 

.4873 

122 

.02237 

.0967 

177 

.00294 

.5386 

13 

.01795 

.4096 

63 

.01365 

.4961 

123 

.02253 

.0784 

178 

.00373 

.5362 

14 

.01863 

.3958 

69 

.01287 

.5043 

124 

.02266 

.0600 

179 

.00451 

.5335 

15 

.01931 

.3816 

70 

.01209 

.5118 

125 

.02276 

.0415 

180 

.00528 

.5300 

16 

.01996 

.3669 

71 

.01128 

.5188 

126 

.02282 

.0230 

181 

.00604 

.5259 

17 

.02058 

.3517 

72 

.01047 

.5251 

127 

.02286 

—  0  .0045 

182 

.00680 

.5213 

18 

.02118 

.3362 

73 

.00964 

.5307 

128 

.02287 

-j-0.0140 

183 

.00756 

.5160 

19 

.02175 

.3202 

74 

.00880 

.5357 

129 

.02286 

.0324 

184 

.00830 

.5103 

20 

.02229 

.3038 

75 

.00797 

.5401 

130 

.02282 

.0509 

185 

.00904 

.5039 

21 

.02280 

.2870 

76 

.00712 

.5438 

131 

.02274 

.0692 

185 

.00976 

.4970 

22 

.02330 

.2699 

77 

.00627 

.5468 

132 

.02264 

.0874 

187 

.01048 

.4895 

23 

.02375 

.2525 

78 

.00541 

.5493 

133 

.02252 

.1056 

183 

.01118 

.4815 

24 

.02419 

.2346 

79 

.00454 

.5511 

134 

.02236 

.1237 

189 

.01188 

.4729 

25 

.02459 

.2166 

80 

.00368 

.5522 

135 

.  .02217 

.1414 

190 

.01256 

.4637 

26 

.02497 

.1983 

81 

.00282 

.5525 

136 

.02196 

.1591 

191 

.01321 

.4541 

27 

.02530 

.1798 

82 

.00195 

.5522 

137 

.02173 

.1765 

192 

.01386 

.4440 

28 

.02562 

.1610 

83 

.00108 

.5513 

138 

.02147 

.1938 

193 

.01450 

.4331 

29 

.02590 

.1421 

84 

4-  .00022 

.5497 

139 

.02117 

.2108 

194 

.01511 

.4222 

30 

.02615 

.1229 

85 

_  .00064 

.5475 

140 

.02087 

.2277 

195 

.01571 

.4106 

31 

.02636 

.1036 

86 

.00149 

.5446 

141 

.02053 

.2442 

196 

.01630 

.3936 

32 

.026,,5 

.0844 

87 

.00235 

.5411 

142 

.02017 

.2604 

197 

.01686 

.3831 

33 

.02671 

.0648 

88 

.10319 

.5370 

143 

.01978 

.2763 

198 

.01739 

.3732 

34 

.02683 

0452 

89 

.CO  403 

.5322 

144 

.01938 

.2919 

199 

.01792 

.3599 

35 

.02692 

0257 

90 

.00486 

.5267 

145 

.01895 

.3071 

200 

.01843 

.3460 

30 

.02698 

+0.0061 

91 

.00568 

.5207 

146 

.01849 

.3220 

201 

.01890 

.3319 

37 

.02700 

—  0  0135 

92 

.00650 

.5141 

147 

.01801 

.3365 

202 

.01  936 

.3174 

33 

.02700 

.0331 

93 

.00730 

.5068 

148 

.01752 

.3506 

203 

.01979 

.3024 

39 

.02696 

.0526 

94 

.00808 

.4991 

149 

.01700 

.3644 

204 

.02021 

.2872 

40 

.02689 

.0721 

95 

.00886 

.4905 

150 

.01646 

.3776 

205 

.02U60 

.2716 

41 

.02679 

.0914 

96 

.00963 

.4316 

151 

.01590 

.3905 

206 

.02097 

.2557 

42 

.02666 

.1106 

97 

.01038 

.4720 

152 

.01532 

.4029 

207 

.0^131 

.2395 

43 

.02649 

.1298 

98 

•  .01111 

.4618 

153 

.01472 

.4148 

208 

.02162 

.2230 

44 

.02630 

.1486 

99 

.01183 

.4512 

154 

.01410 

.42i34 

209 

.02191 

.206-^ 

45 

.02607 

.1674 

100 

.01253 

.4400 

155 

.01349 

.4374 

210 

.02219 

.1893 

4(> 

.02583 

.1859 

101 

.01321 

.4284 

156 

.01234 

.4479 

211 

.02243 

.1721 

47 

.02553 

.2041 

102 

.01388 

.4163 

157 

.01219 

.458  'J 

212 

.02264 

.1547 

43 

.02521 

.2221 

103 

.01452 

.4036 

158 

.01151 

.4374 

213 

.02284 

.1372 

49 

.02487 

.2399 

104 

.01514 

.3906 

159 

.01081 

.4763 

214 

.02301 

.1196 

r>o 

.02451 

.2572 

105 

.01575 

.3771 

160 

.01010 

.4848 

215 

.02314 

.1016 

51 

.02410 

.2743 

106 

.01635 

.3631 

161 

.00939 

.4926 

216 

.02325 

.0836 

52 

.02367 

.2910 

107 

.01690 

.3487 

162 

.00367 

.4999 

217 

.02333 

.0655 

53 

.02322 

.3073 

108 

.01744 

.3340 

163 

.00793 

.5066 

218 

.02339 

.0474 

54 

.02274 

.3233 

109 

.0179d 

.3188 

164 

.00719 

.5127 

219 

.02342 

.0291 

55 

+  .02223 

—0  .3383 

110 

—  .01845 

—  0  .3034 

165 

—  .00644 

+0  .5183 

220 

+  .02342 

-f  0  .0108 

GENERAL  TABLES. 


15 


TABLE  X.—  The  Quantities  A0  and  B0.—  1850.0. 

AQ  =  —  0.02519  sin  2  ©  +  O.OO294  sin  (0  +  82°  34'). 

BQ  =  —  0''.5508  cos  2  ©  —  0".0093  cos  (©  +  280°  21'). 

Arg.  =  Arg.  I  +  d'  +  Inequal.  +  day  of  year. 

Arg. 

A0 

B© 

Arg. 

A© 

B0 

Arg. 

A0 

B0 

Asg. 

AQ 

B0 

220 

+  .02342 

+o'.0108 

259 

+  .00423 

—  o'.5283 

298 

—  .02465 

—  0'.2640 

337 

—  .01784 

+0'.'4259 

221 

.02339 

—  0  .0075 

260 

.00339 

.5330 

299 

.02505 

.2470 

338 

.01710 

.43S4 

222 

.02335 

.0258 

261 

.00255 

.5372 

300 

.02542 

.2297 

339 

.01635 

.4503 

223 

.02326 

.0441 

262 

.00169 

.5407 

301 

.02575 

.2121 

340 

.01558 

.4617 

224 

.02314 

.0624 

263 

+  .00083 

.5437 

302 

.02606 

.1942 

341 

.01479 

.4726 

225 

.02300 

.0807 

264 

—  .00003 

.5460 

303 

.02635 

.1761 

342 

.01399 

.4829 

226 

.02283 

.0986 

265 

.00089 

.5477 

304 

.02661 

.1577 

343 

.01316 

.4925 

227 

.02263 

.1167 

266 

.00176 

.5487 

305 

.02683 

.1391 

344 

.01232 

.5016 

223 

.02242 

.1346 

267 

.00263 

.5490 

306 

.02703 

.1204 

345 

.01146 

.5101 

229 

.02216 

.1523 

268 

.00350 

.5488 

307 

.02719 

.1015 

346 

.01060 

,5179 

230 

.02188 

.1699 

269 

.00437 

.5479 

308 

.02732 

.0824 

347 

.00971 

.5250 

231 

.02158 

.1873 

270 

.00522 

.5463 

309 

.02742 

.0633 

348 

.00882 

.5315 

232 

.02125 

.2045 

271 

.00609 

.5441 

310 

.02749 

.0440 

349 

.00792 

.5374 

233 

.02089 

.2215 

272 

.00695 

.5413 

311 

.02752 

.0246 

350 

.00700 

.5426 

234 

.02052 

.2382 

273 

.00780 

.5379 

312 

.02753 

—  0  .0052 

351 

.00609 

.5472 

235 

.02012 

.2547 

274 

.00864 

.5337 

313 

.02750 

+0.0142 

352 

.00515 

.5510 

236 

.01968 

.2709 

275 

.00948 

.5290 

314 

.02745 

.0336 

353 

.00422 

.5542 

237 

.01923 

.2868 

276 

.01031 

.5236 

315 

.02736 

.0530 

354 

.00328 

.5567 

238 

.01875 

.3024 

277 

.01113 

.5176 

316 

.02723 

.0724 

355 

.00234 

.5G85 

239 

.01825 

.3177 

278 

.01195 

.5110 

317 

.02707 

.0916 

356 

.00140 

.5595 

240 

.01772 

.3326 

279 

.01275 

.5037 

318 

.02687 

.1107 

357 

—  .00045 

.5599 

241 

.01718 

.3471 

280 

.01354 

.4959 

319 

.02668 

.1297 

358 

+  .00050 

.5595 

242 

.01661 

.3613 

281 

.01432 

.4874 

320 

.02643 

.1487 

359 

.00145 

.5585 

243 

.01601 

.3750 

282 

.01508 

.4784 

321 

.02615 

.1674 

360 

.00239 

.5568 

244 

.01540 

.3884 

283 

.01583 

.4688 

322 

.02584 

.1860 

361 

.00333 

.5544 

245 

.01478 

.4012 

284 

.01656 

.4586 

323 

.02550 

.2043 

362 

.00426 

.5512 

246 

.01413 

.4137 

285 

.01727 

.4480 

324 

.02513 

.2223 

363 

.00521 

.5475 

247 

.01345 

.4256 

286 

.01797 

.4367 

325 

.02474 

.2402 

364 

.00613 

.5430 

248 

.01276 

.4371 

287 

.01864 

.4248 

326 

.02431 

.2577 

365 

.00704 

.5378 

249 

.01206 

.4482 

288 

.01931 

.4125 

327 

.02386 

.2750 

366 

.00795 

.5320 

250 

.01133 

.4586 

289 

.01995 

.3997 

328 

.02337 

.2918 

367 

.00885 

.5255 

251 

.01060 

.4686 

290 

.02056 

.3864 

329 

.02286 

.3084 

368 

.00974 

.5183 

252 

.00985 

.4781 

291 

.02115 

.3725 

330 

.02232 

.3246 

369 

.01061 

.5105 

253 

.00908 

.4869 

292 

.02173 

.3583 

331 

.02175 

.3404 

370 

.01148 

.5019 

254 

.00830 

.4954 

293 

.02228 

.3436 

332 

.02117 

.3557 

371 

.01233 

.4929 

255 

.00751 

.5031 

294 

.02281 

.3284 

333 

.02055 

.3707 

372 

.01316 

.4832 

256 

.00671 

.5102 

295 

.02331 

.3130 

334 

.01990 

.3853 

373 

.01398 

.4729 

257 

.00589 

.5168 

296 

.02378 

.2970 

335 

.01923 

.3993 

374 

+  .01477 

+0  .4619 

258 

.00506 

.5227 

297 

.02423 

.2806 

336 

.01855 

.4128 

259 

+  .00423 

—0.5283 

298 

—  .02465 

—  0  .2640 

337 

—  .01784 

+0  .4259 

TABLE  XI. 

Secular  Variation  of  AQ  and  BQ,  to  be  multiplied 

T-kTT 

Argument  the  same  as  for  Table  X. 

lby  100  • 

Arg. 

*A0 

*B© 

Arg. 

*A0 

'B© 

Arg. 

<A0 

*B© 

Arg. 

*A0 

*B0 

0 

—.00006 

—0.0005 

100 

—.00001 

0.0000 

200 

+.00007 

+0.0001 

300 

-.00001 

+0.0003 

10 

7 

5 

110 

0 

0 

210 

7 

2 

310 

2 

+0.0001 

20 

7 

4 

120 

+.00002 

0 

220 

6 

3 

320 

3 

0 

30 

6 

3 

130 

3 

-0.0001 

230 

6 

4 

330 

4 

—0.0002 

40 

6 

3 

140 

4 

1 

240 

5 

5 

340 

5 

3 

50 

5 

o 

150 

5 

2 

250 

4 

5 

350 

6 

4 

60 

5 

—0.0001 

160 

5 

2 

260 

3 

6 

360 

6 

5 

70 

4 

0 

170 

6 

2 

270 

3 

6 

370 

—.00006 

—0.0005 

80 

3 

0 

180 

6 

—0.0001 

280 

+.00001 

5 

90 

—.00002 

+0.0001 

190 

+.00007 

0.0000 

290 

.00000 

+0.0004 

! 

16 


GENERAL  TABLES. 


TABLE  XII.—  The  Quantities  A^  and  B^.—  1850.0. 

A^  =  —  0.34236  sin  ft  +  0.00410  sin  2  ft.  Bn  =  —  9".22355  cos  ft  +  0".G8955  cosSft. 

66                                            06             ft 

Arg.  =  Arg.  Ill  +  d'  +  day  of  year—  6798.39.* 

o             100 

20O 

300 

06 

Bn 

AQ 

Bn 

An 

BQ 

Aa 

Bn 

0 

+.00000 

—9.1340 

+.03085 

—9.0962 

+.06145 

—8.9830 

+.09156 

—8.7952 

1 

00031 

1340 

03116 

0954 

06175 

9815 

09186 

7929 

2 

000-62 

1340 

03147 

0947 

06206 

9800 

09216 

7907 

3 

00092 

1339 

03177 

09:59 

06236 

9785 

09245 

7884 

4 

00123 

1339 

03208 

C931 

G6267 

9769 

09275 

7862 

5 

00154 

1339 

03239 

0923 

06297 

9754 

09305 

7839 

6 

OU85 

1339 

03270 

0915 

06327 

9738 

09335 

7816 

7 

00216 

1338 

03300 

0907 

06358 

9723 

09365 

7793 

8 

00247 

1338 

03331 

0899 

06388 

9707 

09394 

7770 

9 

00278 

1337 

033G1 

0890 

06419 

9692 

09424 

7747 

10 

00309 

1336 

03392 

0882 

06449 

9676 

09454 

7724 

11 

00340 

1335 

03423 

0874 

06479 

9660 

09484 

7701 

12 

0"371 

1334 

03454 

0865 

06509 

9644 

09513 

7677 

13 

004H1 

1333 

03484 

0857 

06540 

9628 

09543 

7654 

14 

00432 

1332 

03515 

0848 

06570 

9612 

09572 

7630 

15 

00463 

1331 

03546 

C84C 

06600 

9596 

09602 

7607 

16 

00494 

1330 

03577 

0831 

06630 

958-U 

09632 

7583 

17 

(J0525 

J329 

036(7 

0823 

06661 

9563 

09661 

7560 

18 

00556 

1328 

03638 

0814 

06691 

9547 

(•9691 

7536 

19 

C0587 

1326 

03668 

0205 

06722 

9530 

09720 

7512 

20 

00818 

1325 

03699 

0796 

06752 

9514 

09750 

7488 

21 

00649 

1324 

03730 

(-787 

06782 

9497 

09780 

7464 

22 

00680 

1322 

03761 

0778 

06812 

9481 

09809 

7440 

23 

00710 

7321 

03791 

0769 

06843 

9464 

09839 

7416 

24 

OU741 

1319 

03822 

0759 

06873 

9447 

09868 

7392 

25 

00772 

1317 

03853 

0750 

06903 

9430 

09898 

7368 

26 

O';8o3 

1315 

03884 

0740 

06933 

9413 

09928 

7344 

27 

H0834 

1313 

03914 

0731 

06963 

9396 

09957 

7319 

28 

00864 

1311 

03945 

0721 

06994 

9379 

09987 

7295 

29 

00895 

1309 

03975 

0712 

07024 

9361 

10016 

7270 

30 

00926 

1307 

04006 

0702 

07054 

9314 

1C046 

7246 

31 

Oi;957 

1305 

04037 

0692 

07084 

9326 

10U76 

7221 

32 

00988 

13C3 

04068 

0682 

07114 

9309 

10105 

7197 

33 

Oli-19 

1330 

04098 

0672 

07145 

9291 

10135 

7172 

34 

01050 

1298 

04129 

0662 

07175 

9274 

10164 

7147 

35 

01081 

1295 

04160 

0652 

07205 

9256 

K194 

7122 

36 

01112 

1292 

04191 

C642 

07235 

9238 

10224 

7097 

37 

01143 

1290 

04221 

0631 

07265 

9221 

10253 

7i.72 

38 

01173 

1287 

04252 

0621 

07296 

9203 

10283 

7047 

39 

01204 

1284 

04282 

0610 

07326 

9185 

1U312 

7021 

40 

01235 

1281 

H4313 

0600 

07356 

9167 

10342 

6996 

41 

01266 

1278 

04341 

0589 

07386 

9149 

1  1-371 

6970 

42 

01297 

1275 

04375 

0579 

07416 

9131 

10401 

6945 

43 

01328 

1272 

04405 

0568 

<  '744-7 

9113 

10430 

6919 

44 

01359 

1268 

04436 

0557 

07477 

9094 

1U460 

6894 

45 

01390 

1265 

04467 

054(5 

C7507 

9076 

.10489 

6868 

46 

01421 

1261 

04498 

0535 

07537 

9057 

10518 

6842 

47 

0(452 

J25S 

04528 

0524 

075H7 

9039 

l':548 

68,6 

48 

01482 

1254 

04559 

0513 

07598 

9020 

10577 

6790 

49 

1/1613 

1250 

04589 

0501 

07628 

9002 

10607 

6764 

50 

+.01544 

—9.1246 

+.04620 

—9.0490 

+.07658 

—8,8983 

+.10636 

—8.6738 

! 

Tue  lust  term  is  used  wheii  the  Ar-uuieiit  cxceeua 


Wiieu  tins  Argument  is  negative  the  sigii  ot 

J-Q 


must  be 


GENERAL  TABLES. 


17 


1 
TABLE  III.—  The  Quantities  Au  and  B^.—  1850.0. 

d 

Argument  =  Arg  III  -|-  d  +  day  of  year  —  6798.39. 

o 

100 

20O 

300 

-a 

Bn 

AQ 

^ 

Aa 

i. 

^ 

»n 

50 

+.01544 

—9.1246 

+.01620 

—9.0490 

+.07658 

—8.8983 

+.10636 

—6  6738 

51 

01575 

1242 

04651 

047" 

07683 

8964 

10(165 

6712 

52 

01606 

1238 

04681 

04fa7 

07718 

8945 

10695 

6685 

53 

01636 

1234 

04712 

0455 

07749 

8926 

10724 

6n59 

54 

01667 

1230 

04742 

0444 

07779 

8907 

10754 

6632 

55 

01698 

1226 

04773 

0432 

07800 

8888 

10783 

6605 

56 

01729 

1222 

04804 

0420 

07839 

8669 

10812 

6579 

57 

01:60 

1218 

04834 

0408 

07869 

8849 

10842 

6553 

58 

01791 

1213 

04865 

0396 

07899 

8830 

10-71 

6526 

59 

01822 

1209 

04895 

0384 

07929 

8810 

10901 

65.0 

60 

01853 

1204 

04926 

0372 

07959 

8791 

10930 

6473 

61 

01884 

1199 

04957 

036') 

07989 

8771 

10959 

6446 

62 

01915 

1195 

04987 

0343 

08019 

8752 

10988 

6419 

63 

01945 

1190 

0501* 

033ti 

08049 

8732 

11  18 

g;;CJ2 

64 

U1976 

1185 

05048 

0323 

08079 

8712 

H047 

6365 

65 

02007 

1180 

0~079 

0311 

08109 

8692 

11076 

6338 

66 

02038 

1175 

05109 

029- 

03139 

867J 

11105 

6  11 

67 

02069 

117 

05140 

0286 

08169 

8652 

11134 

6283 

68 

02099 

1165 

05170 

0273 

03199 

8632 

11164 

6256 

09 

02J30 

1160 

C5201 

C261 

08229 

8612 

11193 

6228 

70 

02161 

1155 

05231 

0246 

08259 

8592 

11222 

6201 

71 

02192 

1150 

05262 

0235 

08289 

8872 

11251 

6173 

72 

02223 

1144 

05292 

0222 

08319 

8551 

11260 

6146 

73 

02253 

1139 

05323 

0209 

('8349 

8531 

11310 

6118 

74 

02284 

1133 

05353 

0196 

08379 

8510 

11339 

6-.9U 

75 

C2315 

1128 

05384 

0183 

084C9 

8490 

11368 

6G62 

76 

02348 

1J22 

0541- 

0170 

€8439 

8469 

11397 

6034 

77 

02377 

1117 

05445 

Wlf.6 

08469 

844V 

11426 

60(6 

78 

02407 

im 

05475 

0]43 

08499 

8428 

1145*; 

597r< 

79 

02438 

1105 

05506 

0129 

08529 

8407 

11485 

595U 

80 

02469 

1099 

05536 

0116 

08559 

8386 

11514 

5922 

81 

02500 

1093 

05567 

0102 

0858~9 

8365 

11543 

;894 

82 

02531 

1087 

05597 

0089 

08619 

8344 

11572 

C8t)5 

83 

02561 

1081 

05628 

0075 

08649 

8323 

116f2 

5837 

84 

0-592 

1074 

05658 

0061 

08679 

8301 

11631 

f,8C8 

85 

02623 

]068 

05689 

0047 

OS709 

8280 

11660 

5780 

86 

02654 

1061 

05719 

0033 

08739 

8258 

11669 

5751 

87 

02685 

1055 

05750 

0019 

08769 

8237 

11718 

5723 

88 

02715 

1048 

05780 

9.0005 

08798 

8215 

11747 

5694 

89 

02746 

1042 

05811 

8.9990 

08828 

8194 

11776 

5665 

90 

02777 

1'35 

05841 

9976 

08858 

8172 

11805 

5630 

91 

02808 

1028 

05871 

9962 

06888 

8150 

11834 

5C07 

92 

02839 

1021 

05902 

9947 

08918 

6129 

1  1863 

5578 

93 

€2869 

]'J14 

05932 

9933 

08947 

8107 

11892 

5549 

94 

02900 

1007 

05963 

9918 

08977 

8085 

11921 

5519 

95 

02931 

1000 

05993 

9904 

09007 

8063 

11950 

5490 

96 

02962 

0993 

06023 

9669 

09037 

8041 

11979 

5460 

97 

0299:? 

0985 

06(54 

9375 

09067 

8019 

120H8 

5431 

98 

03023 

097H 

06084 

9860 

09096 

7997 

12037 

5401 

99 

03054 

0970 

06115 

9645 

09126 

7974 

12066 

5372 

'  100 

+.03085 

—9.0962 

+.06145 

—8.9530 

+.09156 

—8.7952 

+.12095 

—8.5342 

The  last  term  is  used  when  the  Argument  exceeds  3iOO.     When  the  Argument  is  negative  the  sign  of  AQ  must  be  reversed. 


but  the  sign  of  B/^  remains  the  same. 


18 


GENERAL  TABLES. 


TABLE  XII.—  The  Quantities  AQ  and  BQ.—  1850.0. 

d 

Argument  =  III  +  d1  +  day  of  year—  6798.39.* 

4OO 

50O 

600 

TOO 

AQ 

Bfl, 

An 

BQ 

Aa 

Bn 

An 

B« 

0 

+.12095 

—8.5342 

+.14937 

—8.2021 

+.17661 

—7.8015 

+.20243 

—7.3352 

1 

12124 

5312 

14965 

1984 

17688 

7971 

20268 

3302 

2 

12153 

5283 

14993 

1948 

17714 

7928 

20293 

3253 

3 

12181 

5253 

15020 

1911 

17741 

7884 

20318 

3203 

4 

12210 

5223 

15048 

1874 

17767 

7841 

20343 

3153 

5 

12239 

5193 

15076 

1837 

17794 

7797 

20368 

3103 

6 

12268 

5163 

15104 

1800 

17820 

7753 

20393 

3053 

7 

12297 

5133 

15132 

1763 

17847 

7710 

20418 

3003 

8 

12325 

5103 

15159 

1726 

17873 

7666 

20442 

2953 

9 

12354 

5072 

15187 

1688 

17900 

7622 

20467 

2902 

10 

12383 

5042 

15215 

1651 

17926 

7578 

20492 

2852 

11 

12412 

5011 

15243 

1613 

17952 

7534 

20517 

2801 

12 

12441 

4981 

15271 

1576 

17979 

7490 

20542 

2751 

1U 

12469 

4950 

15298 

1538 

18005 

7446 

20566 

2700 

14 

12498 

4920 

15326 

1501 

18032 

7401 

20591 

2650 

15 

12527 

4889 

15354 

1463 

18058 

7357 

20616 

2599 

16 

12556 

4858 

15382 

1425 

18084 

7312 

20641 

2548 

17 

12585 

4827 

15409 

1388 

18111 

7268 

20666 

2497 

18 

12613 

4796 

15437 

1350 

18137 

7223 

20690 

2446 

19 

12642 

4765 

15464 

1312 

18164 

7179 

20715 

2395 

20 

12671 

4734 

15492 

1274 

18190 

7134 

20740 

2344 

21 

12700 

4703 

15520 

1236 

18216 

7089 

20765 

2293 

22 

12729 

4671 

15547 

1198 

18242 

7044 

20789 

2242 

23 

12757 

4640 

15575 

1160 

18269 

6999 

20814 

2191 

24 

12786 

4608 

.   15602 

1121 

18295 

6954 

20838 

2139 

25 

12815 

4577 

15630 

1083 

18321 

6909 

20863 

2083 

26 

12844 

4545 

15658 

1045 

18347 

6864 

20888 

2037 

27 

12872 

4514 

15685 

1006 

18373 

6819 

20912 

1985 

28 

12901 

4482 

15713 

0968 

18400 

6774 

20937 

1934 

29 

12929 

4451 

15740 

0929 

18426 

6728 

20961 

1882 

30 

12958 

4419 

15768 

0891 

18452 

6683 

20986 

1831 

31 

12987 

4387 

15795 

0852 

18478 

6638 

21011 

1779 

32 

13015 

4355 

15823 

0814 

18504 

6592 

21035 

1728 

33 

13044 

4323 

15850 

0775 

18530 

6547 

21060 

1676 

34 

13072 

4291 

15878 

0736 

18556 

6501 

21084 

1624 

35 

13101 

4259 

15905 

0697 

18582 

6456 

21109 

1572 

36 

13130 

4227 

15932 

0658 

18608 

6410 

21133 

1520 

37 

13158 

4194 

15960 

0619 

18634 

6365 

21158 

1468 

38 

13187 

4162 

15987 

0580 

18660 

6319 

21182 

1416 

39 

13215 

4129 

16015 

0540 

18686 

6273 

21207 

1364 

40 

13244 

4097 

16042 

0501 

18712 

6227 

21231 

1312 

41 

13273 

4064 

16069 

0461 

18738 

6181 

21255 

1260 

42 

13301 

4031 

16097 

0422 

18764 

6135 

21280 

1207 

43 

13330 

3998 

16124 

0382 

18790 

6089 

21304 

1155 

44 

13358 

3966 

16152 

0343 

18816 

6042 

21329 

1102 

45 

13387 

3933 

16179 

0303 

18842 

5996 

21353 

1050 

46 

13416 

3900 

16206 

0263 

18868 

5949 

21377 

0997 

47 

13444 

3867 

16233 

0223 

18894 

5903 

21401 

0944 

48 

13473 

3834 

16261 

0183 

18919 

5856 

2142(5 

0891 

49 

13501 

3801 

16283 

0143 

18945 

firi  1  0 

21450 

0839 

50 

+.13530 

—8.3768 

+.16315 

—8.0103 

+.18971 

—7.5763 

+.21474 

—7.0786 

'  The  last  term  is  used  when  the  Argument  exceeds  3400.     When  the  Argument  is  negative  the  sign  of  An  must  be  reversed, 


but  the 


of  B,-.  remains  the  same. 


Q 


GENERAL  TABLES. 


19 


TABLE  XII.-Thc  Quantities  An  and  Bn.-1850.0. 

d 

Argument  =  III  +  d1  +  day  of  year—  6798.39.* 

40O 

500 

COO 

70O 

An 

Bn 

AQ 

B« 

An 

Bn 

Aa 

BQ 

50 

+.13530 

—8.3768 

+.16315 

—a  01  03 

+  .18971 

—7.5763 

+.21474 

—7.0786 

51 

13558 

3735 

16342 

0063 

18997 

5716 

21498 

0733 

52 

13587 

3701 

16369 

8.0023 

19023 

5670 

21522 

0680 

53 

13615 

3668 

16397 

7.9933 

11-048 

5623 

21547 

0627 

54 

13644 

3634 

16424 

9942 

19074 

5576 

21571 

0574 

55 

13672 

3601 

16451 

9902 

19100 

5529 

21595 

0521 

56 

13700 

3567 

16478 

9861 

19126 

5482 

21619 

0468 

57 

13729 

3533 

16505 

9821 

19152 

5435 

21643 

0414 

58 

13757 

3499 

16533 

9780 

19177 

5388 

21667 

0361 

59 

13786 

3466 

16560 

9740 

19203 

5341 

21691 

0307 

00 

13314 

3432 

16587 

9699 

19229 

5294 

21715 

0254 

61 

13842 

3398 

16614 

9658 

19255 

5247 

21739 

0200 

62 

13870 

3364 

16641 

9617 

19280 

,  5199 

21763 

0147 

63 

13899 

3330 

16668 

9576 

19306 

5152 

21787 

0093 

64 

13927 

3296 

16695 

9535 

19331 

5104 

21811 

7.0040 

65 

13955 

3262 

16722 

9494 

19357 

5057 

21835 

6.9936 

66 

13983 

3223 

16749 

9453 

19383 

5009 

21859 

9932  ! 

67 

14011 

3193 

16776 

9412 

19408 

4962 

21663 

9879  ! 

68 

14040 

3159 

16803 

9371 

19434 

4914 

21907 

9825  i 

69 

14068 

3124 

16330 

9329 

19459 

4866 

21931 

9771 

70 

14096 

3G90 

36357 

9288 

39485 

4818 

21955 

9717 

71 

14124 

•   3055 

16884 

9246 

19510 

4770 

21979 

9663 

72 

14152 

3020 

16911 

9205 

19536 

4722 

22003 

9609  ' 

73 

14181 

2985 

16938 

9163 

19561 

4674 

22026 

9555 

74 

14209 

2951 

16965 

9122 

19587 

4625 

22050 

9500  5 

75 

14237 

2916 

16992 

9080 

39612 

4577 

22074 

9446  ! 

76 

14265 

2881 

17019 

9038 

19637 

4528 

22098 

9392 

77 

14293 

2846 

17046 

8997 

19663 

4480 

22121 

9337 

76 

14321 

2811 

17072 

8955 

19688 

4431 

22145 

9283 

79 

14349 

2776 

17099 

8913 

19714 

4383 

22168 

9228 

80 

14377 

2741 

17126 

8871 

19739 

4334 

22192 

9174 

81 

14405 

2706 

17153 

8829 

19764 

4285 

22216 

9119 

82 

14433 

2670 

17180 

8787 

19790 

4237 

22239 

9065 

83 

14461 

2635 

17206 

8745 

19815 

4188 

22263 

9010 

84 

14489 

2599 

17233 

8702 

19841 

4139 

22286 

8955 

85 

14517 

2564 

17260 

8660 

19866 

4090 

23310 

8900 

86 

14545 

.   2528 

17287     8617 

19891 

4041 

22334 

8845 

87 

14573 

2493 

17314      8575 

19916 

3992 

22357 

8790 

88 

14601 

2457 

17340  ;    8532 

19942 

3943 

22381 

8735 

89 

14629 

2421 

17367 

8490 

19967 

3894 

22404 

8680 

90 

14657 

2385 

17394 

8447 

19992 

3845 

22428 

8625 

91 

146^5 

2349 

17421 

8404 

2C017 

3796 

22451 

8570 

92 

14713 

2313 

17448 

8361 

20042 

3747 

22475 

8514 

93 

14741 

2277 

17474 

8318 

20068 

3693 

22498 

8459 

94 

14769 

2240 

17501 

8275 

20093 

3643 

22522 

8403 

95 

14797 

2204 

17528 

8232 

20118 

3599 

22545 

8348 

96 

14825 

2167 

17555 

8189 

29143 

3550 

22568 

8292  i 

97 

14853 

2131 

17581 

8145 

20168 

3500 

22592 

8237  ! 

93     14881 

2094 

17608  !    8102 

20193 

3451 

22615 

8181  i 

99 

14909 

2058 

17634     8058 

20218 

3401 

22639 

8125 

100 

+.14937 

—8.2021 

+.17661   —7.8015 

+.20243 

—7.3352 

+.22682 

—6.8069 

; 

'  The  last  term  is  used  when  the  Argument  exceeds  3400.    When  the  Argument  is  negative  the  sign  of  A ,  ,  must  be  reversed, 

but  the  sign  of  Bo  remains  the  same. 


20 


GENERAL  TABLES. 


TABLE  XII.—  The  Quantities  A^  and  B^.—  1850.0. 

d 

Argument  =  Arg.  Ill  +  d'  +  day  of  year—  6798.39-* 

800 

90O 

1000 

1100 

Aa 

Ba 

Aa 

BQ 

Aa 

Ba 

Aa 

B0 

0 

+.22G62 

—6.8069 

+.24898 

—6.2207 

+.26933 

—5.5813 

+.28747 

—4.8936 

1 

22685 

8013 

24919 

2146 

26952 

5746 

28764 

8865 

2 

22708 

7958 

24941 

2084 

26971 

5680 

28781 

8794 

3 

22732 

7902 

24962 

2023 

26991 

5613 

28798 

8723 

4 

227c5 

7847 

24984 

1961 

27010 

5547 

28815 

8651 

5 

22778 

7791 

25005 

1900 

27029 

5480 

28832 

8580 

6 

22801 

7735 

25026 

1838 

27048 

5413 

28849 

8509 

7 

22824 

7679 

25047 

1777 

27067 

5347 

28866 

8437 

8 

22848 

7623 

25069 

1715 

27087 

5280 

28882 

8366 

9 

22871 

f  7566 

25090 

1654 

27106 

5213 

28899 

8294 

10 

22894 

7510 

25111 

1592 

27125 

5146 

28916 

8223 

11 

22917 

7453 

25132 

1530 

27144 

5079 

28933 

8151 

12 

22940 

7397 

25153 

1468 

27163 

5012 

28949 

8080 

13 

22963 

7340 

25175 

1406 

27182 

4945 

28966 

8008 

14 

22986 

7284 

25196 

1344 

27201 

4878 

28982 

7937 

15 

23009 

7227 

25217 

1282 

27220 

4811 

28999 

7865 

16 

23032 

7170 

25238 

1220 

27239 

4744 

29016 

7793 

17 

23055 

7113 

23259 

1157 

27258 

4677 

.  29032 

7721 

18 

23078 

7056 

25280 

1095 

27276 

4f,10 

29049 

7650 

19 

23101 

6999 

25301 

1032 

27295 

4542 

29065 

7578 

20 

23124 

6942 

25322 

0970 

27314 

4475 

29082 

7506 

21 

23147 

6885 

25343 

0907 

27333 

4407 

.  29098 

7434 

22 

23170 

6828 

25364 

0845 

27352 

4340 

29115 

7363 

23 

23193 

6771 

25385 

0782 

27370 

4272 

29131 

729  L 

24 

23216 

6713 

25406 

0720 

27389 

4205 

29148 

7219 

25 

23239 

6656 

25427 

0657 

27408 

413T 

29164 

7147 

26 

23262 

6599 

25448 

0594 

27427 

4069 

29180 

7075 

27 

23*06 

6541 

25469 

0532 

27445 

4002 

29197 

7003 

j./g 

23307 

6484 

25489 

0469 

27464 

31)34 

29213 

6931 

29 

23330 

6426 

25510 

0406 

27482 

3866 

29230 

6859 

30 

23353 

0369 

25531 

0343 

27501 

3798 

29246 

6787 

31 

23376 

6311 

25552 

0280 

27520 

3730 

292(52 

67  io 

32 

23399 

6254 

25573 

0217 

27538 

3662 

29278 

C642 

33 

23421 

6196 

2559? 

0154 

27557 

3594 

29295 

6570 

34 

23444 

6138 

25614 

0091 

27575 

3526 

29311 

6497 

35 

23467 

6080 

25635 

6.0028 

27594 

3458 

29327 

6425 

36 

23490 

6022 

25656 

5.9965 

27612 

3390 

29343 

6352 

37 

23512 

5964 

25676 

9901 

27631 

3322 

29359 

6280 

38 

23535 

5906 

25697 

9838 

27649 

3254 

29375 

6207 

39 

23557 

5848 

25717 

9774 

27668 

31t5 

29.J91 

6135 

40 

23580 

5790 

25738 

9711 

27686 

3117 

29407 

6062 

23602 

5732 

25758 

9647 

27704 

3049 

294^3 

5989 

42 

23625 

5674 

25779 

9584 

27723 

2980 

29439 

5917 

43 

23647 

5616 

25799 

9520 

27741 

2912 

29455 

5844 

44 

23670 

5557 

25820 

9457 

27760 

2843 

29471 

5771 

45 

23692 

5499 

25840 

9393 

27778 

2775 

29487 

5698 

46 

23714 

5441 

25860 

9329 

27796 

2706 

29503 

5625 

47 

23737 

5382 

25881 

9263 

27814 

2638 

29519 

5562 

48 

23759 

5324 

25901 

9202 

27833 

2569 

29534 

5479 

49 

23782 

52155 

25922 

9138 

27851 

2^01 

29550 

5406 

50 

+.23804 

—  6.52U7 

+.25942 

—5.9074 

+.27869 

—5.2432 

+.2956(5 

—4.5333  ' 

The  last  term  is  used  when  the  Argument  exceeds  3400.     When  the  Argument  is  negative  the  sign  of  A( 

the  sign  of  Bn  remains  the  same. 


must  be  reversed  ; 


GENERAL  TABLES. 


21 


TABLE  XII.-The  Quantities  AQ  and  BQ.-1850.0. 

d 

Argument  =  Arg.  Ill  +  d'  +  day  of  year—  6798.39.* 

80O 

900 

1000 

110O 

An 

BQ 

An 

Bn 

AQ 

*a 

*n 

^ 

50 

+.23804 

—6.5207 

+.25942 

—5.9074 

+.27839 

—5.2432 

+.29565 

—  4..53S3 

51 

23326 

5148 

25962 

9010 

27887 

2363 

29532 

5260 

52 

23348 

5090 

25982 

8946 

27905 

2295 

29593 

5187 

53 

23371 

5031 

26003 

8882 

27923 

2226 

29613 

5114 

54 

23893 

4973 

26023 

8818 

27941 

2157 

29329 

5041 

55 

23915 

4914 

26043 

8754 

27959 

2088 

29645 

4968 

56 

23937 

4855 

26063 

86'JO 

27977 

2019 

29661 

4895 

57 

23959 

4796 

26083 

8626 

27995 

1950 

29676 

4821  ! 

58 

23982 

4737 

26104 

8562 

28013 

1881 

29892 

4748  | 

59 

24004 

4678 

26124 

8497 

28031 

1811 

29707 

4674  1 

60 

24026 

4619 

26144 

8434 

28049 

1742 

29723 

4601  I 

61 

24048 

4560 

26164 

8368 

28067 

1673 

29738 

4527 

62 

24070 

4500 

26184 

8304 

28085 

1603 

29754 

4454  ! 

63 

24093 

4441 

26204 

82S9 

28102 

1534 

29769 

4380 

64 

24115 

4381 

26224 

8175 

28120 

1464 

29785 

4307 

65 

24137 

4322 

26244 

8110 

28138 

1395 

29800 

4233  ' 

66 

24159 

4262 

26264 

8045 

28156 

1325 

29815 

4159 

67 

24181 

4202 

26284 

7980 

28174 

1256 

29831 

4086  ! 

68 

24203 

4143 

26304 

7915 

28191 

1186 

29846 

4012  ! 

69 

24225 

4084 

26324 

7850 

28209 

1117 

29862 

3938 

70 

24247 

4024 

26344 

7785 

28227 

1047 

29877 

3864 

71 

24269 

3964 

26364 

7720 

28245 

0977 

29892 

3790 

72 

24291 

3904 

26384 

7655 

28262 

0908 

29907 

3716  ; 

73 

24313 

3H44 

26404 

7590 

28280     0838 

29923 

3642 

74 

24335 

3784 

26424 

7524 

28297 

0768 

29938 

3568 

75 

24357 

3724 

26444 

7459 

28315 

0698 

29953 

3494 

76 

24379 

3664 

26464 

7394 

28332 

0628 

29968 

3420 

77 

24401 

3604 

26484 

7328 

28350 

0558 

29983 

33s  6  ' 

78 

24422 

3544 

26503 

7263 

28367 

0488 

29999 

3272  : 

79 

24444 

3483 

26523 

7197 

28385 

0418 

30014 

3198 

80 

24466 

3423 

26543 

7132 

28402 

0348 

30029 

3124 

81 

24488 

3363 

26563 

7066 

28419 

0278 

30044 

3050 

82 

24510 

3302 

26582 

7001 

28437 

0208 

30059 

2975  : 

83 

24531 

3242 

26602 

69:35 

28454 

0138 

30074 

2901  ; 

84 

24553 

3181 

26621 

6870 

28472 

5.0067 

30089 

2826  | 

85 

24575 

3121 

26641 

6804 

28489 

4.9997 

30104 

2752  i 

86 

24597 

3060 

26661 

6738 

28506 

9927 

30119 

2677  ! 

87 

24618 

3000 

26680 

6673 

28523 

9856 

30134 

2603  ' 

88 

24640 

2939 

26700 

6607 

28541 

9786 

30148 

2523 

89 

24661 

2679 

26719 

6541 

9715 

30163 

2454 

90 

24683 

2818 

26739 

6475 

28575 

9645 

30178 

2379  i 

91 

24705     2757 

26758     6409 

28592 

9574 

30193 

2304 

92 

24726     2696 

26778     6343 

28609 

9504 

30208 

2229  ' 

93 

24748  1    2635 

26797     6277 

28627 

9433 

30222 

2155  i 

94 

24769     2574 

26817 

6211 

28644 

9362 

30237 

2080  . 

95 

24791     2513 

26836 

6145 

28661 

9291 

30252 

2005  i 

96 

24812     2452 

26855 

6079 

28878 

9220 

30267 

1930  ! 

97 

24834     2391 

26875 

6012 

28695 

9149 

30281 

1855 

98 

24855     2330 

26894 

5946 

28713 

9078 

30296 

1780  ! 

99 

24877  i    2268 

26914 

5879 

28730 

9007 

30310 

1705 

100 

+.24898 

—6.2207 

+.26933 

—5.5813 

+.28747 

—4.8926 

+.30325 

—4.1620 

*  The  last  term  is  used  when  the  Argument  exceeds  34GO.  When  the  Argument  is  negative  the  sign  of  Ar,  must  be  revorse-i, 

22 


GENERAL  TABLES. 


TABLE  XII.—  The  Quantities  Aa  and  Ba.—  1850.0. 

d 

Argument  =  Arg.  Ill  +  d1  +  day  of  year—  6798.39.* 

120O 

13OO 

1400 

1500 

AQ 

BQ 

A£} 

BQ 

AQ 

BQ 

AQ 

BQ 

n 

n 

n 

/7 

0 

+.30325 

—4.1630 

-f.31653 

-3.3955 

+.32718 

—2.5974 

+.33509 

—1.7752 

1 

30339 

1557 

31665 

3877 

32727 

5893 

33515 

7669 

2 

30354 

1482 

31677 

3798 

32736 

5812 

33522 

7586 

3 

30368 

1406 

31688 

3720 

32746 

5730 

33528 

7502 

4 

30383 

1331 

31700 

3641 

32755 

5649 

33535 

7419 

5 

30397 

]254 

31712 

3563 

32764 

5568 

33541 

7336 

6 

30411 

1179 

31724 

3484 

32773 

5487 

33547 

7253 

7 

30426 

1103 

31736 

3406 

32782 

5405 

33553 

7169 

8 

30440 

1028 

31747 

3327 

32791 

5324 

33560 

7086 

9 

30455 

0952 

31759 

3249 

32800 

5242 

33566 

7002 

10 

30469 

0877 

31771 

3170 

32809 

5161 

33572 

6919 

11 

30483 

0802 

31783 

3091 

32818 

5080 

33578 

6836 

12 

30497 

0726 

31794 

3012 

32827 

4998 

33584 

6752 

13 

30512 

0651 

31806 

2934 

32836 

4917 

33591 

6669 

14 

30526 

0575 

31817 

2855 

32845 

4835 

33597 

6585 

15 

30540 

0500 

31829 

2776 

32854 

4754 

33603 

6502 

16 

30554 

0424 

31841 

2697 

32863 

4672 

33609 

6418 

17 

30568 

0349 

31852 

2618 

32872 

4591 

33615 

6335 

18 

30583 

0273 

31864 

2539 

32880 

4509 

33621 

6251 

19 

30597 

0198 

31875 

2460 

32889 

4428 

33627 

6167 

20 

30611 

0122 

31887 

2381 

32898 

4346 

33633 

C084 

21 

30625 

4.0046 

31898 

2302 

32907 

4264 

33639 

6000 

22 

30639 

3.9971 

31910 

2223 

32916 

4183 

33645 

5917 

23 

30653 

9895 

31921 

2144 

32924 

4101 

33651 

5833 

24 

30667 

9819 

31933 

2065 

32933 

4020 

33657 

5750 

25 

3063^ 

9743 

31944 

1986 

32942 

3938 

33663 

5666 

26 

30695 

9667 

31955 

1907 

32951 

3856 

33669 

5582 

27 

30709 

9591 

31966 

1828 

32959 

3774 

33675 

5499 

28 

30722 

9515 

31978 

1748 

32968 

3693 

33680 

5415 

29 

30736 

9439 

31989 

1669 

32976 

3611 

33686 

5332 

30 

30750 

9363 

32000 

1590 

32985 

3529 

33692 

5248 

31 

30764 

9287 

32011 

1511 

32993 

3447 

33698 

5164 

32 

30778 

9211 

32022 

1431 

33002 

3365 

33703 

5080 

33 

30791 

9135 

32034 

1352 

33010 

3284 

33709 

4997 

34 

30805 

9058 

32045 

1272 

33019 

3202 

33714 

4913 

35 

30819 

8982 

32056 

1193 

33027 

3120 

33720 

.  4829 

36 

30833 

8906 

32067 

1114 

33035 

3038 

33725 

4745 

37 

30846 

8829 

32078 

1034 

33043 

2956 

33731 

4661 

38 

30860 

8753 

32089 

0955 

33052 

2874 

3373G 

4578 

39 

30873 

8676 

32100 

0875 

33060 

2792 

33742 

4494 

40 

30837 

8600 

32110 

.0796 

33068 

2710 

33747 

4410 

41 

30900 

8524 

32122 

0716 

33076 

2628 

33752 

4326 

42 

30914 

8447 

32133 

0637 

33084 

2546 

33757 

4242 

43 

30927 

8371 

32143 

0557 

33092 

2464 

33763 

4159 

44 

30941 

8294 

32154 

0478 

33100 

2382 

33763 

4075 

45 

30954 

8218 

32165 

0398 

33108 

2300 

33773 

3991 

46 

30987 

8141 

32176 

0318 

33116 

2218 

33778 

3907 

47 

30931 

8065 

32187 

0238 

33124 

2136 

33783 

3823 

48 

30994 

7988 

32197 

0158 

33132 

2053 

33789 

3739 

49 

31008 

7912 

32208 

3.0078 

33140 

1971 

33794 

3655 

50 

+.31021 

—3.7835 

+.32219 

—2.9999 

+.33148 

—2.1889 

+.33799 

—1.3571 

'"The  last  term  is  used  \v!ieu  tha  Argument  exceeds  3400.     When  the  Argument  is  negative  the  sign  of  AQ  must  be  reversed, 

but  the  sign  of  Bp,  remains  the  same. 


GENERAL  TABLES. 


23 


TABLE  III.—  The  Quantities  AQ  and  B^.—  1850.0. 

d 

Argument  =  Arg.  Ill  +  d'  +  day  of  year—  6798  39.* 

120O 

1300 

1400 

1500 

AQ 

Bn 

An 

BQ 

An 

»Q 

Aa 

Bn 

50 

+.31021 

—3.7835 

+.32219 

-2.9999 

+.33148 

—  2.1889 

+.33799 

—1.3571 

51 

31034 

7758 

32230 

9919 

33156 

1807 

33504 

3487 

52 

31047 

76S2 

32240 

9840 

33164 

1725 

3:5809 

3403 

53 

31061 

7605 

32251 

9760 

33171 

1642 

33814 

3319 

54 

31074 

7528 

32261 

9680 

33179 

1560 

33819 

3235 

55 

31087 

7451 

32272 

9600 

33187 

1478 

33824 

3151 

56 

31100 

7374 

32282 

9520 

33195 

1396 

33829 

3067 

57 

31113 

7297 

32293 

9440 

33202 

1313 

33834 

2983 

58 

31126 

7220 

32303 

9360 

33210 

1231 

33838 

2899 

59 

31139 

7143 

32314 

9280 

33217 

1148 

33843 

2815 

60 

31152 

7066 

32324 

9200 

33225 

1066 

33848 

2731 

61 

31165 

6989 

32334 

9120 

33233 

C984 

33853 

2647 

62 

31178 

6912 

32345 

9040 

33240 

0901 

33858 

2563 

63 

31191 

6835 

32:355 

8959 

33248 

0819 

33862 

2478 

64 

31204 

6757 

32366 

8879 

33255 

0736 

33867 

2394 

65 

31217 

6680 

32376 

8799 

33263 

C654 

33872 

2310 

66 

31230 

6603 

32386 

b719 

33270 

0571 

33877 

2226 

67 

31243 

6525 

32396 

9638 

33278 

0489 

33881 

2142 

68 

31255 

6448 

32407 

8558 

33285 

0406 

33886 

2057 

69 

31268 

6370 

32417 

8477 

33293 

0324 

33890 

1973 

70 

31281 

6293 

32427 

8397 

33300 

0241 

33895 

1889 

71 

31294 

6215 

32437 

8317 

33307 

0158 

33899 

18C5 

72 

31307 

6138 

32447 

8236 

33315 

2.0075 

33904 

J720 

73 

31319 

6060 

32457 

8156 

33322 

1.9993 

33908 

1636 

74 

31332 

5983 

32467 

8075 

33330 

9910 

33913 

1551 

75 

31345 

5905 

32477 

7995 

33337 

9827 

33917 

H67 

76 

31358 

5827 

32487 

7914 

33344 

9744 

33921 

1383 

77 

31370 

5750 

32497 

7834 

33351 

9661 

33925 

1298 

78 

31383 

5672 

32506 

7753 

33359 

9579 

33930 

1214 

79 

31395 

5595 

32516 

7673 

33366 

9496 

33934 

1129 

80 

31408 

5517 

32526 

7592 

33373 

9413 

33938 

1045 

81 

31420 

5439 

32536 

7511 

33380 

9330 

33942 

0961 

82 

31433 

5362 

32546 

7431 

33357 

9247 

*3946 

0876 

83 

41445 

5284 

32555 

7350 

33394 

9164 

33951 

0792 

84 

31458 

5206 

32565 

7270 

33401 

9081 

33955 

0707 

85 

31470 

5128 

32575 

7189 

33408 

8998 

33959 

0623 

86 

31482 

5050 

32585 

7108 

33415 

8915 

33963 

0539 

87 

31495 

4972 

32594 

7027 

33422 

8832 

33967 

0454 

88 

31507 

4894 

32604 

6947 

33428 

8749 

33971 

0370 

89 

31520 

4816 

32613 

6866 

33435 

8666 

33975 

0285 

90 

31532 

4738 

32623 

6785 

33442 

8583 

33979 

C201 

91 

31544 

4660 

32633 

6704 

33449 

8500 

33983 

0116 

92 

31556 

4582 

32642 

6623 

33456 

8417 

33987 

1.0032 

93 

31569 

4504 

32652 

6542 

33462 

8334 

33990 

0.9947 

94 

31581 

4425 

32661 

6461 

33469 

8251 

32994 

9863 

95 

31593 

4347 

32671 

6380 

33476 

8163 

33998 

9778 

96 

31605 

4269 

326SO 

6299 

33483 

8085 

34002 

P694 

97 

21617 

4190 

32690 

6218 

33489 

8002 

34006 

9609 

98 

31629 

4112 

32699 

6  1  30 

33496 

7918 

34009 

9525 

99 

3J64I 

4033 

32709 

6055 

33502 

7835 

34013 

9440 

100 

+.31653 

—3.3055 

+.32718 

—2.5974 

+.33509 

—1.7752 

+.34017 

—0.9356 

*The  last  term  is  used  when  the  Argument  exceeds  34CO.     When  the  Argument  is  negative  the  sign  of  Ao  must  be  reversed  : 


the  sign  of  BQ  remains  the  t-ame. 


GENERAL  TABLES. 


TABLE  XII.—  The  Quantities  Ap  and  BQ.—  1S50.0. 

d 

Argument  =  Arg.  Ill  +  d1  +  day  of  year—  6798.39.* 

1COO 

1700 

1800 

1900 

Aa 

BQ 

AQ 

BQ 

An 

B« 

AQ 

BQ 

0 

+.34017 

—0.9356 

+.34237 

—0.0858 

+.34165 

+0.7669 

+.33799 

+1.6153 

1 

34021 

9271 

34238 

0773 

34163 

7754 

33794 

6237 

2 

34024 

9187 

34239 

0688 

34161 

7839 

33789 

6322 

3 

340^8 

9102 

34-39 

0602 

34158 

7925 

33783 

6406 

4 

34031 

9018 

34240 

0517 

34156 

8010 

33778 

6491 

5 

34035 

8933 

34241 

0432 

34154 

8095 

33773 

6575 

6 

34038 

8848 

34242 

0347 

34152 

8180 

33768 

6659 

7 

34042 

8764 

34242 

0261 

34149 

8265 

33762 

6743 

8 

34045 

8679 

34243 

0176 

34147 

8351 

33757 

6828 

9 

24049 

8595 

34243 

0090 

34144 

8436 

33751 

6912 

10 

34052 

8510 

34244 

—0.0005 

34142 

8521 

33746 

6996 

11 

34055 

8425 

34244 

+0.0080 

34139 

8606 

33741 

7080 

12 

34058 

8340 

34245 

0165 

34137 

8691 

33735 

7164 

13 

34062 

8256 

34245 

0251 

34134 

8776 

33730 

7249 

14 

34065 

8171 

34246 

0336 

34132 

8861 

33724 

7333 

15 

34068 

8086 

34246 

0421 

34129 

8946 

33719 

7417 

16 

34071 

8001 

34246 

0506 

34126 

9031 

33713 

7501 

17 

34074 

7916 

34246 

0592 

34123 

9116 

33708 

7585" 

18 

34078 

7832 

34247 

0677 

35121 

9202 

33702 

7670 

19 

34081 

7747 

34247 

0763 

34118 

9287 

33697 

7754 

20 

34084 

7662 

34247 

0848 

34115 

9372 

33691 

7838 

21 

34087 

7577 

34247 

0933 

34112 

9457 

33685 

7922 

22 

34090 

7492 

34247 

1018 

34109 

9542 

33679 

8006 

23 

34093 

7408 

34247 

1104 

34107 

9627 

33674 

8091 

24 

34096 

7323 

34247 

1189 

34104 

9712 

33668 

8175 

25 

34099 

7238 

34247 

1274 

34101 

9797 

33662 

8259 

26 

34102 

7153 

34247 

1359 

34098 

9882 

33656 

8343 

27 

34105 

7068 

34247 

1444 

34095 

0.9967 

33650 

8427 

28 

34107 

6984 

34247 

1530 

34092 

1.0052 

33644 

8511 

29 

34110 

6899 

34247 

1615 

34089 

0137 

33638 

8595 

30 

34113 

6814 

34247 

1700 

34086 

0222 

33632 

8679 

31 

34116 

6729 

34247 

1785 

34083 

0307 

33626 

8763 

32 

34119 

6U44 

34247 

1871 

34080 

0392 

33620 

8847 

33 

34121 

6560 

34246 

1956 

34076 

0477' 

33614 

8931 

34 

24124 

6475 

34246 

2042 

34073 

0562 

33608 

9015 

35 

34127 

6390 

34246 

2127 

34070 

0647 

33602 

9099 

36 

34130 

6305 

34246 

2212 

34067 

0732 

33595 

9183 

37 

34132 

6220 

34245 

2297 

34063 

0817 

33590 

9267 

38 

34135 

6135 

34245 

2383 

340GO 

0902 

33583 

9351 

39 

34137 

6050 

34244 

2468 

34056 

0987 

33577 

9435 

40 

34140 

5965 

34244 

2553 

34053 

1072 

33571 

9519 

41 

34142 

5880 

34243 

2638 

34050 

1157 

33565 

9G03 

42 

34145 

5795 

34243 

2724 

34046 

1242 

33558 

9687 

43 

34147 

5710 

34242 

2809 

34043 

1326 

33552 

1)770 

44 

34150 

5625 

34242 

2895 

34039 

1411 

33545 

9854 

45 

34152 

5540 

34241 

2980 

34036 

1496 

33539 

1.9938 

46 

34154 

5455 

34240 

3065 

34032 

1581 

33533 

2.0022 

47 

34156 

5370 

34240 

3150 

34029 

1666 

33526 

0106 

48 

34159 

5285 

34239 

3236 

34025 

1751 

33520 

0189 

49 

34161 

5200 

34239 

3321 

34022 

1836 

33513 

0273 

50 

+.34163 

—0.5115 

+.34238 

+0.3406 

+.34018 

+1.1921 

+.33507 

+2.0357  I 

r  The  last  term  is  used  when  the  Argument  exceeds  3400.    When  the  Argument  is  negative  the  sign  of  A  Q  must  be  reversed, 

but  the  sign  of  BQ  remains  the  same. 


GENERAL  TABLES. 


25 


TABLE  XII.—  The  Quantities  Aa  and  BQ.—  1S50.0, 

d 

Argument  =  Arg.  Ill  +  d'  +  day  of  year—  6798.39.* 

1600 

1700 

1800 

1900 

Aa 

BQ 

AQ 

"a 

66 

Ba 

An 

B« 

50 

+.34163 

—0.5115 

+.34238 

+0.3406 

+.34018 

+1.1921 

+.33507 

+2.0357 

51 

34165 

5030 

34237 

3491 

34014 

2006 

33500 

0441 

52 

34167 

4945 

34236 

3576 

34010 

2091 

33494 

0524 

53 

34170 

4860 

34236 

3662 

34007 

2175 

33467 

0608 

54 

34172 

4775 

34235 

3747 

34003 

2260 

33481 

0691 

55 

34174 

4690 

34234 

3832 

33999 

2345 

33474 

0775 

56 

34176 

4605 

34233 

3917 

33995 

2430 

33467 

0859 

57 

34178 

4520 

34232 

4003 

33991 

2515 

33460 

0942 

58 

34180 

4435 

34231 

4088 

33988 

2599 

33454 

1026  1 

59 

34182 

4350 

34230 

4174 

33984 

2684 

33447 

1109 

60 

34184 

4265 

34229 

4259 

33980 

2769 

33440 

1193 

61 

34  180 

4180 

34228 

4344 

33976 

2854 

33433 

3277 

62 

34188 

4095 

34227 

4429 

33972 

2939 

33426 

1360 

63 

34189 

4010 

34226 

4515 

33968 

3023 

33419 

1444 

64 

34191 

3925 

34225 

4600 

33964 

3308 

33412 

1527 

65 

34193 

3840 

34224 

4685 

33960 

3193 

33405 

1611 

66 

34195 

3755 

34223 

4770 

33956 

3278 

33398 

1694 

67 

34196 

3670 

34222 

4856 

33952 

3362 

33391 

1778 

68 

34198 

3584 

34220 

4941 

33947 

3447 

33384 

3661 

69 

34199 

3499 

34219 

5027 

33943 

3531 

33377 

1945 

70 

34201 

3414 

34218 

5112 

33939 

3616 

33370 

2028 

71 

34203 

3328 

34217 

5397 

33935 

3701 

33363 

2111 

72 

34204 

3243 

34215 

5282 

33930 

3786 

33356 

2195 

73 

34206 

3157 

34234 

5368 

33926 

3870 

33348 

2278 

74 

34207 

3072 

34232 

5453 

33923 

3955 

33341 

2362 

75 

34209 

2988 

34211 

5538 

33917 

4040 

33334 

2445 

76 

342  1U 

2903 

34209 

5623 

33913 

4125 

33327 

2528 

77 

34212 

2818 

34208 

5708 

33908 

4209 

33319 

2611 

78 

34213 

2732 

34206 

5794 

33904 

4294 

33312 

2695 

79 

34215 

2647 

34205 

5879 

33899 

4378 

33304 

2778 

80 

34216 

2562 

34203 

5964 

33895 

4463 

33297 

2861 

81 

34237 

2477 

34201 

6049 

33690 

4548 

33289 

2944 

82 

34218 

2392 

34200 

6135 

33886 

4632 

33282 

3027 

83 

34220 

2306 

34198 

6220 

33881 

4717 

33274 

3111 

84 

34221 

2221 

34197 

6306 

33877 

4801 

33267 

3194 

85 

34222 

2136 

34195 

6391 

33872 

4886 

33259 

3277 

86 

34223 

2051 

34193 

6476 

33867 

4970 

33251 

3360 

87 

34224 

1966 

34193 

6561 

33862 

5055 

33244 

3443 

8-S 

34226 

3880 

34390 

6647 

33658 

5139 

33236 

3526 

8J 

34227 

1795 

34168 

6732 

33853 

5224 

33229 

3609 

93 

34228 

1710 

34186 

6817 

33848 

5308 

33221 

3692 

91 

34229 

1625 

34184 

6902 

33843 

5393 

33213 

3775 

92 

34230 

1540 

34182 

6987 

33838 

5477 

33205 

3658 

93 

34231 

1454 

34180 

7073 

33834 

5562 

33198 

3941 

94 

34232 

3369 

34178 

7158 

33829 

5646 

33190 

4024 

95 

34233 

3284 

34176 

7243 

33824 

5731 

33182 

4307 

96 

34234 

1199 

34174 

7328 

33819 

5815 

33174 

4190 

97     342"5 

1314 

34172 

7413 

33814 

5900 

33166 

4273 

98  |    34235 

1028 

34169 

7499 

33809 

5984 

33156 

4356 

119 

34236 

0943 

34167 

7584 

33804  !    6069 

33150 

4439 

1,0 

+.34237   —0.0858 

+.34165 

+0.7669 

+.33799  j  +1.6153 

+.33142 

+2.4522 

I  IK-  lust  term  is  used  when  the  Argument  exceeds  3400.    "When  the  Argument  is  negative  the  sign  of  AQ  must  be  rcversed( 

but  the  sign  of  13  ~  remains  the  same. 


26 


GENERAL  TABLES. 


TABLE  XII.—  The  Quantities  AQ  and  Ba.—  1S50.0. 

d 

Argument  =  Arg.  Ill  -f  d1  +  day  of  year—  6798  39.  *  ' 

8000 

3100 

3200 

2300 

^ 

B^ 

^ 

Bn 

An 

BQ 

Aa 

*tl 

a 

// 

// 

n 

0 
1 

-f-.  33142 
33134 

+2.4522 
4605 

+.32196 
32185 

+3.2701 

2781 

+.30967 
30953 

+4.0617 
0695 

+.29466 
29450 

+4.8200 
8274 

2 

33126 

4688 

32174 

2862 

30939 

0772 

29433 

8348 

3 

33117 

4770 

32163 

2942 

3C926 

0850 

29417 

8422 

4 

33JG9 

4853 

32152 

3023 

30912 

0927 

29400 

8495 

5 

33101 

4936 

32141 

3103 

30898 

1005 

29384 

8569 

6 

33093 

5019 

32-130 

3183 

30884 

1082 

29367 

8643 

7 

33085 

5102 

32119 

3264 

30870 

1160 

29351 

8716 

8 

33076 

5184 

32107 

3344 

30857 

1237 

29334 

8790 

9 

33068 

5267 

32096 

3425 

30843 

1315 

29318 

8863 

10 

33060 

5350 

32085 

3505 

30829 

1392 

29301 

8937 

11 

33052 

5433 

32074 

3585 

30815 

1469 

29284 

9010 

12 

33043 

5515 

32063 

3665 

30801 

1547 

29268 

9084 

13 

33035 

5598 

32051 

3746 

30787 

1624 

29251 

9157 

14 

33026 

5680 

32040 

3826 

30773 

1701 

29235 

9231 

15 

33018 

5763 

32029 

3906 

30759 

1778 

29218 

9304 

16 

33009 

5845 

32018 

3986 

30745 

1855 

29201 

9377 

17 

33001 

5928 

32006 

4067 

30731 

1932 

29184 

9451 

18 

32992 

6010 

31995 

4147 

30716 

2009 

29168 

9524 

19 

32984 

6093 

31983 

4227 

30702 

2086 

29151 

9597 

20 

32975 

6175 

31972 

4307 

30688 

2163 

29134 

9670 

21 

32966 

6257 

31961 

43S7 

30674 

2240 

29117 

9743 

22 

32958 

6340 

31949 

4467 

30660 

2317 

29100 

9816 

23 

32949 

6422 

3i938 

4547 

30645 

2394 

29084 

9889 

24 

32941 

6505 

31926 

4627 

30631 

247P 

29067 

4.9962 

25 

32932 

6587 

31915 

4707 

30617 

2547 

29050 

5.0035 

26 

32923 

6669 

31903 

4787 

30603 

2624 

29033 

0108 

27 

32914 

6751 

31892 

4867 

30588 

2700 

29016 

0181 

28 

32906 

6834 

31880 

4946 

30574 

2777 

28999 

0254 

29 

32897 

6916 

31869 

5026 

30559 

2853 

28982 

0326 

30 

32887 

6998 

31857 

5106 

30545 

2930 

28965 

0399 

31 

32879 

7080 

31845 

5186 

30530 

3006 

28948 

0472 

32 

32870 

7162 

31833 

5265 

30516 

3083 

28931 

0544 

33 

32861 

7245 

31822 

5345 

30501 

3159 

28913 

0617 

34 

32852 

7327 

31810 

5425 

30487 

3236 

28896 

0669 

35 

32843 

7409 

31798 

5505 

30472 

3312 

28879 

0762 

36 

32834 

7491 

31786 

5585 

30457 

3388 

28862 

0834 

•  37 

32825 

7573 

31774 

5664 

30443 

3465 

28844 

0907 

38 

32816 

7656 

31762 

5744 

30428 

3541 

28827 

0979 

39 

32807 

7738 

31750 

5823 

30414 

3618 

28809 

1052 

40 

32798 

7820 

31738 

5903 

303D9 

3694 

28792 

1124 

41 

32789 

7902 

31726 

5982 

30384 

3770 

28775 

1196 

42 

32780 

7984 

31714 

6062 

30369 

3847 

2H757 

1269 

43 

32770 

8066 

3J701 

6141 

30355 

3923 

28740 

1311 

44 

32761 

8148 

31689 

6221 

30340 

3999 

28722 

1413 

45 

32752 

8230 

31677 

6300 

30325 

4075 

28705 

1485 

46 

32743 

8312 

31665 

6379 

30310 

4151 

28687 

1557 

47 

32733 

8394 

31653 

6459 

30295 

4227 

5,8670 

1029 

48 

32724 

8476 

31640 

65.38 

30280 

4303 

28652 

1701 

49 

32714 

8558 

31628 

6617 

30265 

43/9 

28635 

1773 

50 

+.32705 

+2.8640 

+.31616 

+3.6G96 

+.30250 

+4.4455 

+.28617 

+5.1845 

The  last  term  is  used  when  the  Argument  exceeds  3400.    "When  the  Argument  is  negative  the 

but  the  sign  of  BQ  remains  the  same. 


jn  of  A  ~  must  be  r.evt-r.sed, 


GENERAL  TABLES. 


27 


TABLE  XII.-The  Quantities  AQ  and  BQ.-1850.0. 

d 

Argument  =  Arg.  Ill  +  d1  +  day  of  year—  6798.39.* 

2000 

2100 

2200 

2300 

A^ 

Ba 

AQ 

BQ 

An 

BQ 

Aa 

BOQ 

i 

// 

a 

// 

a 

50 
5i 

+.32705 
32695 

+2.8640 

8722 

+.31616 
31604 

+3.6696 
6775 

+.30250 
30235 

+4.4455 
4531 

+.28617 
28599 

+5.1815 
1917 

52 

32686 

8804 

31591 

6854 

30220 

4607 

28581 

1989 

53 

32676 

8885 

31579 

6933 

30204 

4683 

28564 

2061 

54 

32666 

8967 

31566 

7012 

30189 

4758 

28546 

2132 

55 

32657 

9049 

31554 

7091 

30174 

4834 

28528 

2204 

56 

32647 

9131 

31541 

7170 

30159 

4910 

28510 

2276 

57 

32638 

9212 

31529 

7249 

30144 

4985 

28492 

2347 

58 

32628 

9294 

31516 

7328 

30128 

5061 

28475 

2419 

59 

32619 

9375 

31504 

7407 

30113 

5136 

28457 

2490 

60 

32609 

9457 

31491 

7486 

30098 

5212 

28439 

2562 

61 

32599 

9539 

31478 

7565 

30083 

5287 

28421 

2633 

62 

32589 

9620 

31466 

7643 

30067 

5363 

28403 

2705 

63 

32580 

9702 

31453 

7722 

30052 

5438 

28385 

2776 

64 

32570 

9783 

31441 

7801 

30036 

5514 

28367 

2847 

65 

32560 

9865 

31428 

7880 

30021 

5589 

28349 

2918 

66 

32550 

2.9946 

31415 

7959 

30006 

5664 

28331 

2989 

67 

32540 

3.0028 

31402 

8037 

29991 

5740 

28313 

3060 

68 

32530 

0109 

31390 

8116 

29975 

5815 

28295 

3131 

69 

32520 

0191 

31377 

8194 

29960 

5890 

28277 

3202 

70 

32510 

0272 

31361 

8273 

29944 

5965 

28259 

3973 

71 

32500 

0353 

31351 

8352 

29928 

6040 

28241 

3344 

72 

32490 

0435 

31338 

8430 

29913 

6115 

28223 

3415 

73 

32480 

0516 

31326 

8509 

29897 

6189 

28204 

3486 

74 

32470 

0597 

31313 

8587 

29882 

6264 

28186 

3556 

75 

32460 

0678 

31300 

6666 

29866 

6339 

28168 

3627 

76 

32450 

0759 

31287 

8744 

29850 

6414 

28150 

3698 

77 

32440 

0841 

31274 

8823 

29834 

6489 

28131 

3768 

78 

32429 

0922 

31261 

8901 

29819 

6563 

28113 

3839 

79 

32419 

1003 

31248 

8980 

29603 

6638 

28094 

39U9 

80 

32409 

1084 

31235 

9058 

29787 

6713 

28076 

3980 

81 

32399 

1163 

31222 

9136 

29771 

6788 

28058 

4050 

82 

32388 

1246 

31209 

9215 

29755 

6862 

28039 

4121 

83 

32378 

1327 

31195 

9293 

29740 

6937 

28021 

4191 

84 

32367 

1408 

31182 

9371 

29724 

7011 

28002 

4062 

85 

32357 

1489 

31169 

9449 

29708 

7086 

27984 

4332 

86 

32346 

1570 

31156 

9527 

29692 

7160 

27965 

4402 

87 

32336 

1651 

31142 

9605 

29676 

7235 

27947 

4473 

88 

32325 

1732 

31129 

9683 

29660 

7309 

27928 

4543 

89 

32315 

1813 

31115 

9761 

29644 

7384 

27910 

4613 

90 

32304 

1894 

31102 

9839 

29628 

7458 

27891 

4683 

91 

32293 

1975 

31088 

9917 

29612 

7532 

27872 

4753 

92 

32282 

2056 

31075 

3.9995 

29596 

7606 

27854 

4823 

93 

32272 

2137 

31062 

4.0072 

29579 

7681 

27835 

4893 

94 

32261 

2217 

31048 

0150 

29563 

7755 

27817 

4963 

95 

32250 

2298 

31035 

0228 

29547 

7829 

27798 

5033 

96 

32239 

2379 

31021 

0306 

29531 

7903 

27779 

5103 

97 

32228 

2459 

3  1008 

0384 

29515 

7978 

27760 

5173 

98 

32218 

2540 

30994 

0461 

29498 

8052 

27742 

5243 

99 

32207 

2620 

30961 

0539 

29482 

8126 

27723 

5312 

100 

+.32198 

+3.2701 

+.30967 

+4.0617 

+.29466 

+4.8200 

+.27704 

+5.5382 

*  The  last  term  is  used  when  the  Argument  exceeds  3400.     "When  the  Argument  i^  negative  the  sign  of  AQ  must  be  reversed, 

but  the  sign  of  B  o  remains  the  same. 


28 


GENERAL  TABLES. 


TABIE  XII.—  The  Quantities  AQ  and  B^.—  1850.0. 

d 

Argument  =  Arg.  Ill  +  d1  +  day  of  year—  6798.39.* 

2400 

2500 

2600 

2700 

AQ 

BQ 

An 

Ba 

Aa 

BQ 

Aa 

BQ 

0 

+.27704 

+5.5382 

+.25696 

+6.2098 

+.23458 

+6.8285 

+.21009 

+7.3887 

1 

27685 

5452 

25675 

2162 

23434 

8344 

20984 

3940 

2 

27668 

5521 

25653 

2227 

23411 

8402 

20958 

3993 

3 

27647 

5591 

25632 

2291 

23387 

8461 

20933 

4046 

4 

27628 

5660 

25610 

2356 

23364 

8520 

20907 

4098 

5 

27609 

5730 

25589 

2420 

23340 

8579 

20882 

4151 

6 

27590 

5799 

25568 

2484 

23316 

8638 

20856 

4203 

7 

27571 

5869 

25546 

2549 

23293 

8696 

20831 

4256 

8 

27552 

5938 

25525 

2613 

23-269 

8755 

20805 

4308 

9 

27533 

6008 

25503 

2677 

23246 

8813 

20780 

4361 

10 

27514 

6077 

25482 

•   2741 

23222 

8872 

20754 

4413 

11 

27495 

6146 

25460 

2805 

23198 

8930 

20728 

4465 

12 

27476 

6215 

25439 

2869 

23174 

8989 

20703 

4518 

13 

27456 

6284 

25417 

2933 

23151 

9047 

20677 

4570 

14 

27437 

6353 

25396 

2997 

23127 

9106 

20652 

4622 

15 

27418 

6422 

25374 

3061 

23103 

9164 

20626 

4674 

16 

27399 

6491 

25352 

31-25 

23079 

9222 

20600 

4726 

17 

27379 

6559 

25331 

3188 

23055 

9280 

20574 

4778 

18 

27360 

6628 

25309 

3252 

23032 

9338 

20549 

4830 

19 

27340 

6696 

25288 

3315 

23008 

9396 

20523 

4881 

20 

27321 

6765 

25266 

3379 

22984 

9454 

20497 

4933 

21 

27302 

6833 

25244 

3442 

22960 

9512 

20471 

4984 

22 

27282 

6902 

25222 

3506 

22936 

9570 

20445 

5036 

23 

27263 

6970 

25201 

3569 

22912 

9628 

20419 

5087 

24 

27243 

7039 

25179 

3633 

22888 

9685 

20393 

5139 

25 

27224 

7107 

25157 

3696 

22864 

9743 

20367 

5190 

215 

27204 

7175 

25135 

3759 

22840 

9801 

20341 

5241 

27 

27185 

7244 

25113 

3823 

22816 

9858 

20315 

5293 

28 

27165 

7312 

25092 

3886 

22792 

9916 

20289 

5344 

29 

27146 

7380 

25070 

3949 

22768 

6.9973 

20263 

5395 

30 

27126 

7448 

25048 

4012 

22744 

7.0031 

20237 

5446 

31 

27106 

7516 

25026 

4075 

2-2720 

0088 

20211 

5497 

32 

27087 

7584 

25004 

4138 

22696 

0146 

20185 

.1548 

33 

27067 

7652 

24982 

4201 

22671 

0203 

20158 

5599 

34 

27048 

7720 

24960 

4264 

22647 

0260 

20132 

5649 

35 

27028 

7788- 

24938 

4327 

22623 

0317 

20106 

5700 

36 

27008 

7856 

24916 

4390 

22599 

0374 

20080 

5750 

37 

26988 

7924 

24894 

4452 

22575 

0431 

20054 

5801 

38 

26969 

7992 

24872 

4515 

22550 

0488 

20027 

5851 

39 

26949 

8059 

24850 

4577 

22526 

0544 

20001 

5902 

40 

26929 

8127 

24828 

4640 

22502 

0601 

19975 

5952 

41 

26909 

8195 

24806 

4702 

2-2478 

0657 

19949 

6002 

42 

26889 

8262 

24784 

4765 

22453 

0714 

19923 

6053 

43 

26870 

8330 

24761 

48-27 

22429 

0770 

19896 

6103 

44 

26850 

8397 

24739 

4889 

22404 

0827 

19870 

6153 

45 

26830 

8465 

24717 

4951 

22380 

0883 

19844 

6203 

46 

26810 

8532 

24695 

5013 

2-2356 

0939 

19818 

6253 

47 

26790 

8600 

24672 

5075 

22331 

0995 

19791 

6303 

48 

26770 

8667 

24650 

5137 

2-2307 

1051 

19765 

6353  ! 

49 

26750 

8735 

246-27 

5199 

22282 

1107 

19738 

6402 

50 

+.26730 

+5.8802 

+.246U5 

+3.C261 

+.22253 

+7.11(3 

+.19712 

+7.6152 

| 

*  The  last  term  is  used  when  the  Argument  exceeds  3400.     When  the  Argument  is  negative  the  sign  of  Af>  must  be  reversed, 


but  the  sign  of  B~  remains  the  same. 


GENERAL  TABLES. 


29 


TABLE  XII.—  The  Quantities  AQ  and  BQ.—  1850.0. 

d 

Argument  =  Arg.  Ill  +  d'  +  day  of  year—  6798.39  / 

240O 

250O 

260O 

2700 

An 

»n 

A« 

B,Q 

Aa 

HJ 

Aa 

BQ 

50 

+.26730 

+5.8802 

+.24605 

+6.5261 

+.22258 

+7.1163 

+.19712 

+7.6452 

51 

26710 

8869 

24583 

5323 

22233 

1219 

19686 

6502 

52 

26690 

8937 

24560 

5385 

22209 

1275 

19659 

6."  51 

53 

26669 

9004 

24538 

5447. 

22184 

1331 

19633 

6601 

54 

26649 

9071 

24515 

5508 

22160 

1386 

19606 

6650 

55 

26629 

9138 

24493 

5570 

22135 

1442 

19580 

6700 

56 

26609 

9205 

24470 

5632 

22110 

1498 

19553 

6749 

57 

26589 

9272 

24448 

5693 

22086 

1553 

19527 

6799 

58 

26568 

9339 

24425 

5755 

22061 

1609 

19500 

6848 

59 

26548 

9405 

24403 

5816 

22037 

1664 

19474 

6897 

60 

26528 

9472 

24380 

5878 

22012 

1720 

19447 

6946 

61 

26508 

9539 

24357 

5939 

21987 

1775 

19420 

6995 

62 

26487 

9605 

24335 

6001 

21962 

1831 

19394 

7044 

63 

26467 

9672 

24312 

6062 

21938 

1886 

19367 

7093 

64 

26446 

9738 

24290 

6123 

21913 

1941 

19341 

7141 

65 

26426 

9805 

24267 

6184 

21888 

1996 

19314 

7190 

66 

26405 

9871 

24244 

6245 

21863 

2<;51 

19287 

7238 

67 

26385 

5.9938 

24221 

6306 

21838 

2106 

19260 

7287 

68 

26364 

6.0004 

24199 

6367 

21814 

2161 

19234 

7335 

69 

26344 

0070 

24176 

6427 

21789 

2216 

19207 

7384 

70 

26323 

0136 

24153 

6488 

21764 

2271 

19180 

7432 

71 

26302 

0202 

24130 

6549 

21739 

2326 

19153 

7480 

72 

26282 

0268 

24107 

6609 

21714 

2380 

19126 

7529 

73 

26261 

0334 

24C85 

6670 

21689 

2435 

19100 

7577 

74 

26241 

0400 

24062 

6730 

21664 

24c9 

19073 

7625 

75 

26220 

0466 

24039 

6791 

21639 

2544 

19046 

7673 

76 

26199 

C532 

24016 

6851 

21614 

2598 

19019 

77-21 

77 

26178 

0598 

23993 

6912 

21589 

2653 

18992 

7769 

78 

26158 

0664 

23970 

6972 

21564 

2707 

18966 

7817 

79 

261  o7 

0729 

23947 

7033 

21539 

£761 

18939 

7864 

80 

26116 

0795 

23921 

7093 

21514 

2815 

18912 

7912 

bl 

26095 

0861 

23901 

$  1  53 

21489 

2869 

7960 

82 

26074 

C926 

23878 

7213 

21464 

2923 

18858 

80C7 

83 

26054 

C992 

23854 

7273 

21438 

2977 

18831 

6055 

84 

26033 

1057 

23831 

7333 

21413 

3031 

18804 

8102 

85 

26012 

11-23 

23808 

7293 

21388 

3085 

18777 

8150 

86 

'25991 

1188 

23785 

7453 

21363 

3139 

18750 

8197 

87 

'25970 

1-254 

23762 

7513 

21333 

3193 

18723 

8245 

88 

25949 

1319 

23738 

7573 

21312 

3247 

18696 

8292  ; 

89 

25928 

1  384 

23715 

7632 

21287 

33CO 

18669 

8339 

90 

25907 

1449 

23692 

7G9-2 

21262 

3351 

18642 

8386 

9! 

5.5888 

1514 

236-39 

7751 

21237 

3407 

18815 

8433 

92 

25865 

1579 

23645 

7811 

21212 

3461 

18588 

8480 

93 

25844 

1644 

23622 

7870 

21186 

3514 

18561 

8527 

94 

25823 

1709 

23598 

7930 

21161 

3568 

18534 

8573 

95 

25802 

1774 

23575 

7989 

21136 

36-21 

18507 

8620 

96 

2-.781 

1839 

2:1552 

8048 

21111 

3674 

18480 

8666 

97 

25760 

1904 

•23528 

8108 

21085 

3728 

18453 

8713  ; 

98 

25738 

1969 

235C5 

8167 

21060 

S781 

18425 

8759 

99 

25717 

2033 

23431 

8226 

21034 

3834 

18398 

8806  ' 

100 

+.-25696 

+G.2098 

+.2C458 

+6.8'285 

+.21009 

+7.3-C? 

+.18371 

+7.8852 

Tfce  lubt  term  is  used  when  the  Argr.uient  exceeds  3400.    When  the  Argument  is  negative  the  sign  of  Ar ,  must  be  reversed, 


but  the  sign  of  B~  remains  the  same. 


30 


GENERAL  TABLES. 


TABLE  XII.—  The  Quantities  AQ  and  B^.—  1850.0. 

d 

Argument  =  Arg.  Ill  +  d'  +  day  of  year  —  6798.39.* 

2SOO 

2900 

3000 

3100 

AQ 

Bn 

An 

BQ 

AQ 

Ba 

An 

B.Q 

0 

+.18371 

+7.8852 

+.15567 

+8.3135 

+.12622 

+8.6694 

+,09562 

+8.9495 

1 

18344 

8893 

15538 

3174 

12o92 

6726 

09531 

9519 

2 

18316 

8945 

15509 

3213 

12562 

6757 

09500 

9542 

3 

18289 

8991 

15481 

3252 

12531 

6789 

09468 

9566 

4 

18261 

9037 

15452 

3291 

12501 

6820 

09437 

9590 

5 

18234 

9083 

15423 

3330 

12471 

6852 

09406 

9614 

6 

18207 

9129 

15394 

3369 

12441 

6883 

09375 

9838 

7 

18179 

9175 

15365 

3408 

12411 

6915 

09344 

9661 

8 

18152 

9221 

15337 

3447 

12380 

6946 

09312 

9685 

9 

18124 

9266 

15308 

3485 

12350 

6977 

09281 

9708 

10 

18097 

9312 

15279 

3524 

12320 

7008 

09250 

9732 

11 

18070 

9357 

15250 

3562 

12290 

7039 

09219 

9755 

12 

18042 

9403 

15221 

3601 

12260 

7070 

09188 

9779 

13 

18015 

9448 

15192 

3639 

12229 

7101 

09156 

9802 

14 

17987 

9494 

15163 

3678 

12199 

7131 

09125 

9825 

15 

17960 

9539 

15134 

3716 

12169 

7162 

09094 

9348 

16 

17932 

9584 

15104 

3754 

12139 

7193 

09063 

9871 

17 

17905 

9629 

15076 

3792 

12109 

7223 

09032 

9394 

18 

17377 

9674 

15047 

3830 

12079 

7254 

09000 

9917 

19 

17850 

9719 

15018 

3368 

12049 

7284 

08969 

9939 

20 

17822 

9764 

14989 

3906 

12018 

7315 

08938 

9962 

21 

17794 

9809 

14960 

3944 

11938 

7345 

08907 

8.9934 

22 

17767 

9854 

14931 

3981 

11957 

7376 

08S76 

9.0007 

23 

17739 

9899 

14901 

4019 

11927 

7406 

03844 

0029 

24 

17712 

9943 

14872 

4056 

11896 

7436 

08813 

0052 

25 

17684 

7.9938 

14843 

4094 

11866 

7466 

08782 

0074 

26 

17656 

8.0032 

14814 

4131 

11836 

7496 

08751 

0096 

27 

17629 

0077 

14785 

4169 

11805 

7526 

08719 

0118 

28 

17601 

0121 

14755 

4206 

11775 

7556 

08688 

0140 

29 

17574 

0166 

14726 

4243 

11744 

7585 

08656 

0162 

30 

17546 

0210 

14697 

4280 

11714 

7615 

08625 

,  0184 

31 

17518 

0254 

14668 

4317 

11684 

7644 

08594 

0206 

33 

17490 

0298 

14639 

4354 

11653 

7674 

08562 

0227 

33 

1746  * 

0342 

14609 

4391 

11623 

7703 

08531 

0249 

34 

17435 

0336 

14580 

4428 

11592 

7733 

08499 

0270 

35 

17407 

0430 

14551 

4465 

11562 

7762 

08468 

0292 

30 

17379 

0474 

14522 

4502 

1  1532 

7791 

08437 

0313 

37 

17351 

0518 

14493 

4538 

11501 

7820 

08405 

0335 

38 

17324 

0562 

14463 

4575 

11471 

7849 

08374 

0356 

39 

17296 

0605 

14434 

4611 

11440 

7878 

08342 

0377 

40 

17268 

C649 

14405 

4648 

11410 

7907 

08311 

0398 

41 

17240 

0692 

14376 

4684 

11380 

7936 

08280 

0419 

42 

17212 

0736 

14346 

4721 

11349 

7964 

08248 

0440 

43 

17184 

0779 

14317 

4757 

11319 

7993 

08217 

0461 

44 

17156 

0823 

14287 

4793 

11288 

8021 

08185 

0481 

45 

17123 

0866 

14258 

4829 

11258 

8050 

08154 

0502 

46 

17100 

0909 

14229 

4865 

11227 

8078 

08123 

0522 

47 

17072 

0952 

14199 

4901 

11197 

8107 

08091 

0542 

48 

17044 

0995 

14170 

4937 

11166 

8135 

08060 

»  0563 

49 

17016 

1038 

14140 

4972 

11136 

8163 

08028 

0584 

50 

+.16983 

+8.1031 

+.14111 

+8.5008 

+.11105 

+8.8191 

+.07997 

+9.0604 

The  last  term  is  used  when  the  Argument  exceeds  34CO.    When  the  Argument  is  negative  the  sign  of  A  Q  must  be  reversed, 

but  the  sign  of  BQ  remains  the  same. 


GENERAL  TABLES. 


31 


TAB1E  XII.-The  Quantities  AQ  and  Ba.-1850.0. 

d 

Argument  =  Arg.  Ill  +  d'  +  day  of  year—  6798  39.* 

280O 

290O 

30OO 

3100 

AQ 

Bn 

An 

BQ 

Aa 

"a 

Aa 

Ba 

50 

+.16988 

+8.1081 

+.14111 

+8.5008 

+.11105 

+8.8191 

+.07997 

+9.0604 

51 

16960 

1124 

14082 

5043 

11074 

8219 

07966 

0624 

52 

16932 

1166 

14052 

5079 

11044 

8247 

07934 

0644 

53 

16904 

1209 

14023 

5114 

11013 

8275 

07903 

0664 

54 

16876 

1251 

13993 

5150 

10983 

8302 

07871 

0684 

55 

16848 

1294 

13964 

5185 

10952 

8330 

07840 

0704 

56 

16S20 

1336 

13934 

5220 

10921 

8357 

07808 

0724 

57 

16792 

1379 

13905 

5255 

10891 

8385 

07777 

0743 

58 

16763 

1421 

13K75 

5290 

10860 

8412 

07745 

0763 

59 

16735 

1464 

13846 

5325 

10830 

8440 

07714 

0782 

60 

16707 

1506 

13816 

5360 

10799 

8467 

07682 

0802 

61 

16679 

1548 

1378II 

5395 

10768 

8494 

07650 

0321 

62 

16651 

1590 

13757 

5429 

10737 

8521 

07619 

0841 

63 

16622 

1632 

13727 

5464 

10707 

8548 

07587 

0861 

64 

16594 

1674 

13698 

5498 

10676 

8575 

07556 

0879 

65 

16566 

1716 

13668 

5533 

10645 

8602 

07524 

0898 

66 

16538 

1758 

13638 

5567 

10614 

8629 

07492 

0917 

67 

16509 

1799 

13609 

5602 

105S3 

8655 

07461 

0936 

68 

16431 

1841 

13579 

5636 

10553 

8682 

07429 

0955 

69 

16452 

1882 

13550 

5671 

10522 

8708 

07398 

0973 

70 

16424 

1924 

13520 

5705 

10491 

8735 

07366 

0992 

71 

16396 

1965 

13490 

5739 

10460 

8761 

07334 

1010 

72 

16367 

2007 

13460 

5773 

10429 

8788 

07303 

1029 

73 

16339 

2048 

13431 

5807 

10399 

8814 

07271 

1047 

74 

16310 

2089 

13401 

5841 

10368 

8841 

07240 

1066 

75 

16232 

2130 

13371 

5875 

10337 

8867 

07208 

1034 

7o 

16254 

2171 

13341 

5909 

10306 

8893 

07176 

1102 

77 

16225 

2212 

13311 

5942 

10275 

8919 

07145 

1120 

78 

16197 

2253 

13282 

5976 

10244 

8945 

07113 

1138 

79 

16168 

2294 

13252 

6009 

10213 

8971 

07082 

1156 

80 

16140 

2335 

13222 

6043 

10182 

8997 

07050 

1174 

81 

16111 

2376 

13192 

6076 

10151 

9023 

07018 

1192 

82 

16083 

2416 

13162 

6110 

10120 

9048 

.   06986 

12C9 

83 

16U54 

2457 

13133 

6143 

10089 

9074 

06955 

1227 

84 

16026 

2497 

13103 

6176 

4  10058 

9099 

06923 

1244  < 

85 

15997 

2538 

13073 

6209 

10027 

9125 

06891 

1262 

86 

15968 

2578' 

13043 

6242 

09996 

9150 

0(3859 

1279 

87 

15940 

2619 

13013 

6275 

09965 

9176 

06827 

1297 

88 

15911 

2659 

12933 

6308 

09934 

9201 

06796 

1314 

89 

15883 

2699 

12953 

6340 

09903 

9226 

06764 

1331 

90 

15854 

2739 

12923 

6373 

09872 

9251 

06732 

1348  ! 

91 

15825 

2779 

12893 

6405 

03841 

9276 

03700 

1365  I 

92 

15797 

2819 

12863 

6433 

09810 

9300 

03663 

1332 

93 

15768 

2859 

12333 

6470 

09779 

9325 

06337 

1399 

94 

15740 

2898 

12S03 

6503 

09748 

9349 

06305 

1415 

95 

15T11 

2938 

12773 

6535 

09717 

9374 

06573 

1432  ; 

96 

15682 

2977 

12743 

6567 

09636 

9393 

06541 

1448  ! 

97 

lft',53 

3017 

12713 

6599 

09655 

9423 

06509 

1465 

98 

15625 

3056 

12632 

6631 

09(324 

9447 

06478 

1481  | 

99 

15596 

309(3 

12652 

6862 

09593 

9471 

06446 

1493  ! 

100 

+.15567 

+8.3135 

+.12(322 

+8.6694 

+.09562 

+8.9495 

+.03414 

+9.1514 

1 

*The  last  ttrm  is  used  when  the  Argument  exceeds  3400.     When  the  Argument  is  negative  the  sign  of  A, 

but  the  sign  gf  Bn  remains  the  same. 


must  be  reversed, 


32 


GENERAL  TABLES. 


TABLE  III.—  The  Quantities  AQ  and  BQ.—  1850.0. 

d 

Argument  =  Arg.  Ill  +  d1  +  day  of  year—  6798.39.* 

3200 

/ 
3300 

320O 

3300 

AQ 

BQ- 

A^ 

EQ 

AQ 

B^ 

AQ 

Ba 

a 

II 

// 

n 

0 

+.06414 

-J-9.1514 

+.03208 

+9.2730 

50 

+.04816 

+9.2223 

+.01592 

+9.3033 

1 

06382 

1530 

03176 

2738 

51 

04784 

2235 

01560 

3037 

2 

06350 

1546 

03144 

2746 

52 

04752 

2247 

01527 

3041 

3 

06319 

1562 

03111 

2754 

53 

04720 

2259 

01495 

3045 

4 

06287 

1578 

03079 

2761 

54 

04688 

2271 

01462 

3048 

5 

06255 

1594 

03047 

2769 

55 

04658 

2283 

01430 

3052 

6 

06223 

1610 

03015 

2776 

56 

04624 

2295 

01398 

3055 

7 

06191 

1625 

02983 

2784 

57 

04592 

230(5 

01365 

3059 

8 

06160 

1641 

02950 

2791 

58 

04560 

2!518 

01333 

3062 

9 

06128 

1656 

02918 

2799 

59 

04528 

2329 

01300 

3066 

10 

06096 

1672 

02886 

2806 

60 

04496 

2341 

01268 

3069 

11 

06064 

.1687 

02854 

2813 

61 

04464 

2352 

01238 

3072 

12 

0803£ 

1703 

02821 

2820 

62 

04432 

2364 

01203 

3075 

13 

06000 

1718 

02789 

2827 

63 

04399 

2375 

01171 

3078 

14 

05968 

1733 

02756 

2834 

64 

04367 

2386 

01138 

3081 

15 

05936 

1748 

02724 

2841 

65 

04335 

2397 

01106 

3081 

16 

05904 

1763 

02692 

2848 

66 

04303 

2408 

01074 

3087 

17 

05872 

1778 

02660 

2854 

67 

04271 

2419 

01041 

3089 

18 

05840 

1793 

02627 

2861 

68 

0423S 

2430 

01009 

3092 

19 

05808 

1807 

02595 

2868 

69 

04206 

2440 

00976 

3094 

20 

05776 

1822 

02563 

2875 

70 

04174 

2451 

00944 

3097 

21 

05744 

1836 

02531 

2881 

71 

04142 

2461 

00912 

3099 

22 

05712 

1851 

0249S 

2888 

72 

04110 

2472 

00879 

3101 

23 

05680 

1865 

02466 

2894 

73 

04077 

24^2 

00847 

3103 

24 

05648 

1879 

02433 

2901 

74 

04045 

2492 

00814 

31  05 

25 

05616 

1893 

02401 

2907 

75 

04013 

2502 

C0782 

3107 

26 

05584 

1907 

02369 

2913 

76 

03981 

2512 

00750 

3109 

27 

05552 

1921 

02336 

2919 

77 

03949 

2522 

00717 

3110 

28 

05520 

1935 

02304 

2925 

78 

03916 

2532 

00685 

3112 

29 

05488 

1949 

02271 

2931 

79 

03884 

2542 

00652 

3113 

30 

05456 

1963 

02239 

2937 

80 

03852 

2552 

00620 

3115 

31 

05424 

1977 

02907 

2942 

81 

03820 

2562 

00588 

3116 

32 

05392 

1990 

02175 

2948 

82 

03788 

2571 

OC5G5 

3118 

33 

05360 

2004 

02142 

2953 

83 

03755 

2581 

00523 

3119 

34 

05328 

2017 

02110 

2959 

84 

03723 

2590 

00490 

3120 

35 

05298 

2031 

02078 

2964 

85 

03691 

2600 

00458 

3121 

36 

05264 

2044 

02046 

2969 

86 

03659 

2609 

00428 

3122 

37 

05232 

2058 

02013 

2974 

87 

03627 

2619 

00393 

3123 

38 

05200 

2071 

01981 

2979 

88 

03594 

2628 

00381 

3124 

39 

05168 

2084 

01948 

2984 

89 

03562 

2637 

00328 

3125 

40 

05136 

2097 

01916 

2989 

90 

03530 

2646 

00296 

3126 

41 

05104 

2110 

01884 

2994 

91 

03498 

2655 

00264 

3127 

42 

05072 

2123 

01851 

2993 

92 

03466 

2663 

00231 

3127 

43 

05040 

2136 

01819 

3003 

93 

03433 

2072 

00199 

3128 

44 

05008 

2U8 

01786 

3007 

94 

03401 

2680 

00166 

3128 

45 

04976 

2161 

01754 

3012 

95 

033C9 

2689 

00134 

3129 

46 

04944 

2173 

01722 

3016 

96 

03337 

2697 

00102 

3:29 

47 

04912 

2186 

01689 

3021 

97 

03305 

2706 

00069 

3130 

48 

04880 

2198 

01657 

3025 

98 

03272 

2714 

00037 

3130 

49 

04848 

2211 

016-24 

3029 

99 

03240 

2722 

+.00004 

3130 

50 

+.04314) 

-1-9.2223 

+.01592 

+9.3033 

100 

+.03208 

+9.2730 

—.(,0028 

+9.3130 

The  lust  term  is  used  when  the  Argument  exceeds  34GO.     When  the  Argument  is  negative  the  sign  of  A  Q  must  b«  reversed, 

but  the  sign  of  Bn  remains  the  same. 


GENERAL  TABLES. 


33 


TABLE  XIII.—  Secular  Variation  of  A^  and  B^. 

<J  A^  =  —  0.00031  sin  ft  .     6  B^  =  —  0".COG9  cos  ft  —  0".0001  cos  2  ft  . 
Argument  =  Arg.  Ill  +  d'  +  day  of  year  —  6798.4.* 

Arg. 

•*Q 

'"0 

Arg. 

"a 

'»Q 

Arg. 

"a 

«Q 

Arg. 

«o 

'"a 

0 
100 
200 
300 

+.00000 
03 
06 
08 

—10 
10 
10 
10 

900 
1000 
1100 
1200 

+.00023 
25 
26 

28 

—  6 
5 
4 
3 

1800 
1900 
2000 
2100 

+.00031 
31 
30 
29 

+  2 
3 
3 
4 

2700 
2SOO 
2900 
3000 

+.00019 
16 
14 
11 

+  7 
8 
8  ! 
8 

400 
500 
600 

700 
800 

11 

14 
16 
19 

+.00021 

9 
9 

8 
8 

—  7 

1300 
1400 
1500 
1600 
1700 

29 
30 
31 
31 

+.00031 

3 
2 

0 
+  1 

2200 
2300 
2400 
2500 
2600 

28 
26 
25 
23 

+.00021 

5 
5 
6 
6 

+  7 

3!  00 
3200 
3300 
3400 

C8 
06 
03 
+.OOOCO 

8 
8 

8 
+  8 

When  the  Argument  is  negative  the  sign  of  6  AQ  must  be  reversed,  but  the  sign  of  6  BO  remains 
the  same. 

TABLE  IIV.—  EQ  and  its  Secular  Variation.—  1850.0. 

EQ  =  —  0".0035  sin  2  ©.     6  E0  =  +  0".0005  sin  2  ©. 
Argument  —  Arg  !  +  </'  +  Sec.  In.  +  day  of  year. 

Arg. 

E0 

*E0 

Arg. 

E0 

*E0 

Arg. 

E0 

"te 

Arg. 

E0 

"b 

-  0 
10 
20 
30 
40 

+0.0010 
21 
29 
34 
35 

—  2 
3 
4 
5 
5 

100 
110 
120 
130 
140 

a 
—0.0021 
29 
34 
35 
32 

+  3 
4 
5 
5 
5 

200 
210 
220 
230 
240 

+0.0027 
33 
35 
33 

28 

—  4 
5 
5 
5 
4 

300 
310 
320 
330 
340 

II 

—0.0032 
0035 
0034 
0029 
0020 

+  1 

5 
4 
3 

!    50 
60 
|    70 
80 
90 

31 
23 
13 

+0.0001 
—0.0011 

4 
3 
—  2 
0 
+  2 

150 

160 
170 

180 
190 

25 
15 

—0.0004 
+0.0007 
+0.0018 

4 
2 
+  1 

—  3 

250 
260 
270 
280 
290 

20 
+0-0009 
—0.0003 
15 

—0.0025 

3 
—  1 

0 
+  2 
+  4 

350 
360 
370 

—0.0009 
+0.0004 
+0.0016 

+  1 
—  2 

TABLE  IV.—  E^  and  its  Secular  Variation.—  1850.0. 

EQ  =  —  0".0483  sin  ft  +  0".OOJ5  sin  2  ft.     6  E^  =  +  0".C069  sin  ft  -0".0001  sin  2  ft. 
Argument  =  Arg.  Ill  +  d'  +  day  of  year  —  6798.4.* 

Arg. 

EQ 

«"to 

Arg 

Ea       **Q 

Arg. 

Ea 

'*Q 

Arg. 

EQ 

"to 

0 
100 
200 
300 

+0.0000 
42 
83 
124 

—  0 
6 
12 

18 

900 
10UO 
1100 
1200 

+0.0342 
371 
397 
420 

—50 
54 
58 
61 

1800 
1900 
2000 
2100 

+0.0484 
480 
472 
460 

—69 
63 
67 
65 

2700 
2800 
2900 
3000 

+0.0305 
267 
227 
184 

—43 
37 
32 

26 

400 
500 
600 
700 
800 

164 
203 
241 

277 
+0.0311 

24 
30 
35 
41 
—46 

1300 
1400 
1500 
1600 
1700 

440 
457 
463 

478 
+0.0483 

64 
66 
67 
69 
—69 

2200 
2300 
2400 
2500 
2600 

444 
424 

400 
372 

+0.0340 

63 
60 
56 
52 

-48 

3100 
3200 
3300 
3400 

140 
94 
47 

+0.0000 

19 
13 
•  7 
—  0 

When  the  argument  is  negative  the  signs  of  the  quantities  in  this  table  must  be  reversed. 

(JA-,  cJB0,  (5E^  and  rSE^.  are  to  be  multiplied  by  *~  18;)0.  Thclast.threeareinunitsofthefourthdecimal. 
oo           o<4           fcj                 W                                                  \oo 

*  The  last  term  is  used  when  the  Argument  exceeds  3400. 


34: 


GENERAL  TABLES. 


TABLE  XVI. 

Argument  IV,    for  terms  in  A  and  #,  depending  on  2  ([  : 

Argument  V,    for  terms  in  A,  depending  on  ({  —  T'. 

For  Washington  Mean  Noon  of  Jan.  0  in  common  years,  Jan.  1  in  bissextile  years. 

Year. 

IV. 

V. 

Year. 

IV. 

V. 

Year. 

IV. 

V. 

Multiples 

d 

d 

d 

d 

d 

d 

of  the  Period 

1750 

0.849 

15.33 

1800 

12.033 

8.66 

1850 

9.555 

1.99 

of  Arg.  IV. 

1751 

10.669 

22.12 

1801 

8.191 

15.45 

1851 

5.714 

8.78 

17rvv>  R 

«7  QO7 

9  Qr: 

1R09 

4  'l"iO 

99  91 

1  852  B 

2.872 

16  57 

'.  i  '  •  -  -13 

]753 

/  •  O^/ 

3.966 

^••>O 

9.14 

J  OU/<£ 

1803 

*±.  OoU 

0.509 

<6<£t<6Ti 

1.47 

1853 

12.692 

23.36 

d 

1754 

0.145 

15.93 

1804B 

11.328 

9.27 

1854 

8.851 

2.60 

1 

13.661 

2 

27.322 

1755 

9.9G4 

22.72 

1805 

7.487 

16.06 

1855 

5.009 

9.39 

3 

40.982 

175GB 

7.123 

296 

1806 

3.645 

22.85 

1856B 

2.168 

17.18 

4 

54.643 

]7f>7 

3.281 

9.75 

1807 

13.465 

208 

1857 

11.987 

23.97 

5 

68.301 

1758 

13.101 

16.54 

1808  B 

10.623 

9.87 

1858 

8.146 

3.21 

6 

»  1.965 

1759 

9.259 

23.33 

1809 

6.782 

16.66 

1859 

4.305 

10.00 

7 

95.626 

8 

109.286 

1760  B 

6.418 

3.57 

1810 

2.941 

23.46 

1860B 

1.463 

17.79 

9 

122.947 

17GI 

2.577 

10.36 

1811 

12.760 

2.69 

1861 

11.283 

24.58 

10 

136.608 

1762 

12.396 

17.15 

1812  B 

9.919 

10.48 

1862 

7.441 

3.81 

11 

150.269 

1763 

8.555 

23.94 

1813 

6.077 

17.27 

1863 

3.600 

10.61 

12 

163.929 

17G4B 

5.713 

4.18 

1814 

2.236 

24.06 

1864  B 

0.759 

18.40 

13 

177.590 

14 

191.251 

1765 

1.872  ' 

10.97 

1815 

12.055 

3.30 

1865 

10.578 

25.19 

15 

204.912 

17GG 

11.692 

17.7G 

I^IGB 

9.214 

11.09 

1866 

6.737 

4.42 

16 

218.573 

1767 

7.850 

21.55 

1817 

5.373 

17.88 

1867 

2.895 

11.21 

17 

232.233 

17G8B 

5.009 

4.79 

1818 

1.531 

24.67 

1868B 

0.054 

1901 

18 

245.894 

1769 

1.167 

11.58 

1819. 

11.351 

3.91 

1869 

9.873 

25.80 

19 

259.555 

20 

273.216 

1770 

10.987 

18.37 

1820  B 

8.509 

11.70 

1870 

6.032 

5.03 

21 

286.8/7 

1771 

7.14G 

25.  16 

1821 

4.668 

18.49 

1871 

2.191 

11.82 

22 

300.537 

177:4  B 

4.304 

5.40 

1822 

0.827 

25.28 

1872B 

13.010        10.61 

23 

314.198 

1773 

0.463 

12.19 

1823 

10.646 

4.52 

1873 

9.169       26.40 

24 

3-37.859 

1774 

10.282 

18.98 

1824  B 

7.805 

12.31 

1874 

5.327 

5.64 

25      341.520 

26      355.181 

1775 

17~"i  P 

6.441 

°  (\C\C\ 

25.77 

c\  on 

1825 
1  4^-)A 

3964 

0190 

19.10 

9r\  WO 

1875 
1  KT»  "R 

1.486 

10  *lf}(\ 

12.43 

90  99 

27       368.841 

J  /  i  O  L> 

1777 

o  OUU 

13419 

o.uu 

12.80 

Jo-^O 

1827 

.  1  £4 

9.942 

*O.OJ 

5.13 

J  C  4  U  D 

1877 

J  /£•  DUO 

8.464 

,£(/.  -£v 
27.01 

Multiples 

1778 

9.578 

1959 

1828  B 

7.100 

12.92 

1878 

4.623 

6.25 

of  th«  Period 

1779 

5.736 

26.38 

1829 

3.259 

19.71 

1879 

0.781 

13.04 

of  Arg.  V. 

d 

1780  B 

2.895 

6.61 

1830 

13.078 

26.50 

18SOB 

11.601 

20.83 

1 

27.55 

1781 

12.714 

13.40 

1831 

9.237 

5.74 

1881 

7.760 

0.07 

2 

55.11 

1782 

8.b73 

20.19 

1832B 

6.  COG 

13.53 

1882 

3.918 

6.86 

3 

82.66 

1733 

5.032 

26.99 

1833 

2.554 

20.32 

1883 

0.077 

13.65 

4 

110.22 

1784  B 

2.190 

7.22 

1834 

12.374 

27.11 

1884  B 

10.896 

21.44 

5 

137.77 

G 

165.33 

1785 

12.010 

14.01 

1835 

8.532 

6.34 

1885 

7.055 

0.68 

7 

192.88 

1786 

8.1G8 

20.80 

183GB 

.      5.691 

14.13 

1886 

3.214 

7.47 

8 

220.44 

1787 

4.327 

27.59 

J837 

1.850 

20.93 

i&ff 

13033 

14.2G 

9 

247.99 

1788  B 

1.486 

7.83 

1838 

11.639 

0.16 

1888B 

10.192 

22.  (15 

10 

275.55 

1789 

11.305 

14.62 

1839 

7.828 

6.95 

1889 

6.350 

1.29 

11 

303.10 

12 

330.65 

1790 

7.464 

21.41 

1840B 

4.986 

14.74 

1890 

2.5C9 

8.08 

13 

358.21 

1791 

3.622 

0.65 

1841 

1.145 

21.53 

1891 

12.  3-,  8 

14.87 

14 

38576 

1792B 

0.781 

8.44 

1842 

10.964 

0.77 

1892B 

9.487 

22.66 

1793 

10.601 

15.23 

1843 

7.123 

7.56 

1893 

5.646 

1€9 

1794 

6.759 

22.02 

1844B 

4.282 

15.35 

1894 

1.804 

8.69 

1795 

2.918 

1.26 

1845 

0.440 

22.14 

1895 

11.624 

15.48 

1796  B 

0.076 

9.05 

1846 

10.260 

1.38 

1896B 

8.782 

23.27 

1797 

9.896 

15.84 

1847 

6.418 

8.17 

1897 

4.941 

2.  CO 

1798 

6.055 

22.  G3 

1848  B 

3.077 

15.96 

1898 

1.100         9.29 

1799 

2.213 

1.87 

1849 

13.397 

22.75 

1899 

10.910        10  (,8 

1800 

12.033 

8.66 

1850 

9.555 

1.99 

1900 

7.078   !    22.88 

i 

GENERAL  TABLES. 


35 


T4HTF  YVTT   A    II    i' 
LAULKt  At  11*  —  A(jj  **([>  A  (j» 

A  -  =  —  0.00405  sin  2  ff  ... 
1  Arg.  =  Arg.  IV  +  day  +  d1  —  multiple  of  period. 

B^  =  —  0.0886  cos  2  <[   .  .  .  J 

A'  ^  =  +  0.00135  sin  (  d  —  F)   .   Arg.  =  Arg.  V  +  day  +  d'  —  multiple  of  period. 

In  units  of  the  fifth  decimal  for  A,  and  of  the  fourth  for  B. 

Arg.  IV. 

BC 

Arg.  IV. 

AC 

BC 

Arg.  IV. 

A« 

B« 

Arg.V. 

A'c 

0.0 

—  0 

—886 

4.6 

—347 

+459 

9.2 

+359 

+410 

0 

+  o 

0.1 

19 

885 

4.7 

337 

493 

9.3 

367 

374 

1 

30 

0.2 

37 

882 

4.8 

326 

526 

9.4 

374 

335 

2 

59 

0.3 

55 

877 

4.9 

314 

558 

9.5 

381 

298 

3 

85 

0.4 

74 

870 

5.0 

302 

589 

9.6 

387 

259 

4 

106 

0.5 

92 

862 

5.1 

289 

619 

9.7 

392 

221 

5 

J22 

0.6 

111 

852 

5.2 

277 

648 

9.8 

396 

180 

6 

132 

0.7 

128 

841 

5.3 

263 

675 

9.9 

400 

140 

7 

}35 

0.8 

145 

827 

5.4 

248 

701 

10.0 

403 

101 

8 

130 

0.9 

163 

811 

5.5 

232 

725 

10.1 

404 

59 

9 

119 

.0 

180 

793 

5.6 

217 

743 

10.2 

405 

+  19 

1  0 

102 

.1 

196 

775 

5.7 

201 

769 

10.3 

405 

—  22 

]  1 

80 

.2 

212 

754 

5.8 

185 

788 

10.4 

404 

62 

12 

53 

.3 

228 

732 

5.9 

163 

806 

10.5 

402 

103 

3 

+  23 

.4 

243 

707 

6.0 

151 

822 

10.0 

400 

143 

4 

—  7 

.5 

258 

682 

6.1 

133 

837 

10.7 

396 

183 

5 

37 

.6 

272 

657 

6.2 

116 

849 

10.8 

392 

£24 

6 

66 

.7 

285 

628 

6.3 

98 

859 

10.9 

387 

263 

7 

90 

.8 

298 

598 

6.4 

79 

868 

11.0 

380 

301 

8 

110 

.9 

310 

569 

6.5 

61 

875 

11.1 

374 

338 

9 

125 

2.0' 

322 

537 

6.6 

42 

8S1 

11.2 

367 

376 

20 

134 

2.1 

333 

503 

6.7 

24 

884 

11.3 

359 

412 

21 

134 

22 

344 

470 

6.8 

—  6 

886 

11.4 

350 

449 

22 

129 

2.3 

353 

435 

6.9 

+  13 

885 

11.5 

340 

483 

.  23 

116 

2.4 

33-2 

399 

7.0 

32 

883 

11.6 

329 

516 

24 

97 

2.5 

370 

362 

7.1 

49 

879 

11.7 

317 

549 

25 

74 

2.6 

376 

324 

7.2 

68 

873 

11.8 

306 

581 

26 

47 

2.7 

383 

285 

7.3 

86 

865 

11.9 

293 

610 

27 

—  17 

2.8 

389 

247 

7.4 

105 

855 

12.0 

281 

640 

28   +  13 

29 

394 

209 

7.5 

123 

844 

1-2.1 

267 

667 

29   +43 

3.0 

398 

169 

7.6 

140 

831 

12.2 

252 

693 

3.1 

401 

129 

7.7 

158 

815 

12.3 

237 

717 

3.2 

403 

88 

7.8 

175 

799 

12.4 

221 

741 

3.3 

404 

46 

7.9 

191 

781 

12.5 

206 

762 

3.4 

405 

—  6 

8.0 

207 

761 

12.6 

190 

782 

3.5 

405 

+  35 

8.1 

223 

738 

J2.7 

174 

800 

3.6 

404 

76 

8.2 

239 

715 

12.8 

156 

817 

3.7 

402 

116 

8.3 

254 

691 

12.9 

138 

833 

3.8 

399 

155 

8.4 

.268 

665 

13.0 

121 

845 

3.9 

395 

196 

8.5 

282 

637 

13.1 

104 

856 

4.0 

390 

235 

8.6 

294 

607 

13.2 

85 

866 

4.1 

385 

274 

8.7 

306 

578 

13.3 

67 

873 

4.2 

378 

312 

8.8 

319 

546 

13,4 

48 

879 

4.3 

372 

350 

8.9 

330 

514 

13.5 

30 

883 

4.4 

364 

388 

9.0 

341 

480 

13.6 

+  11 

885 

4.5 

—356 

+424 

9.1 

+350 

+446 

13.7 

—  7 

—885 

36. 


GENERAL  TABLES. 


TABLE  XVIII.—  The  Quantities  Log.  C  and  Log.  D.-1S50. 

Log.  C  =  n  1.27312,32  +  log.  cos  ©;  Sec.  Var.  =  -f  0.00004,25. 

Argument  =  Arg.  I  4~  d'  -{-  Inequalities  -f-  day  of  year. 

JLog.  C. 

Arg. 

0.0 

0.1 

0.2 

0.3 

0.4 

0.5 

0.6 

0.7 

0.8 

0.9 

0 

n  0.43403 

43927 

44446 

44956 

45462 

45962 

46456 

46945 

47427 

47905 

J 

.48378 

48844 

49305 

49762 

50214 

50661 

51103 

51541 

51975 

52403 

o 

.52829 

53250 

53666 

54078 

54486 

54890 

55290 

55686 

56079 

56468 

3 

.56853 

57235 

57614 

57989 

58361 

58729 

59094 

59456 

59815 

60171 

4 

.60523 

60873 

61220 

61564 

61905 

62243 

62579 

62912 

63243 

63572 

5 

n  0.63898 

64221 

64541 

64859 

65174 

65486 

65796 

66104 

66409 

66711 

6 

.67010 

67308 

67604 

67898 

68191 

68482 

68770 

69056 

69340 

69622 

7 

.69903 

70181 

70457 

70731 

71004 

71275 

71544 

71811 

72077 

72342 

8 

.72604 

72864 

73123 

73380 

73635 

73889 

74141 

74391 

74640 

74887 

9 

.75133 

75377 

75619 

75860 

76100 

76338 

76575 

76810 

77044 

77277 

10 

n  0.77508 

77738 

77966 

78193 

78419 

78645 

78869 

79091 

79312 

79531 

11 

.79749 

79966 

80182 

80397 

80610 

80822 

81033 

81243 

81452 

81659 

12 

.81865 

82070 

82274 

82477 

82680 

82881 

83081 

83280 

83478 

83675 

13 

.83870 

84065 

84259 

84452 

84644 

84834 

85024 

85213 

85401 

85588 

14 

.85773 

85S58 

86142 

86325 

86507 

86689 

86870 

87050 

87229 

87407 

15 

w  0.87583 

87759 

87934 

88108 

88282 

88455 

88627 

88798 

88968 

89138 

16 

.89307 

89475 

89642 

89808 

89974 

90139 

90303 

90466 

90628 

90790 

17 

.90952 

91112 

91272 

91431 

91589 

91746 

91903 

92059 

92214 

92369 

18 

.92523 

92676 

92829 

92981 

9313-2 

93283 

93433 

93582 

93731 

93879 

19 

.94026 

94173 

94319 

94465 

94610 

94754 

94897 

95040 

95182 

95324 

20 

«  0.95466 

95607 

95747 

95886 

96025 

96163 

96301 

96438 

96574 

96710 

21 

.96845 

96980 

97114 

97248 

97381 

97513 

97645 

97777 

97908 

98038 

22 

.98168 

98298 

98427 

98555 

98683 

98810 

98937 

99063 

99189 

99314 

23 

0.99439 

99563 

99667 

99810 

99933 

:  00056 

:  00178 

:  00299 

:  00420 

:  00540 

24 

1.00660 

00780 

00899 

01018 

01136 

01253 

01370 

01487 

01603 

01719 

25 

n  1.01834 

01949 

02063 

02177 

02291 

02404 

02517 

02629 

02741 

02853 

26 

.02964 

03075 

03185 

03295 

03404 

03513 

03621 

03729 

03837 

03941 

27 

.04051 

04157 

04263 

04369 

04474 

04579 

04683 

04787 

04891 

04995 

28 

.05098 

05201 

05303 

05405 

05506 

05607 

05708 

05808 

05908 

06008 

29 

.06107 

06206 

06304 

06402 

06500 

06598 

06695 

06792 

06888 

06984 

30 

n  1.07080 

07175 

07270 

07365 

07459 

07553 

07646 

07739 

07832 

07925 

31 

.OeOl7 

08109 

C8200 

08291 

08382 

08473 

08563 

08653 

08743 

08832 

32 

.08921 

09010 

09098 

091H6 

09274 

09361 

09448 

09535 

09621 

09707 

33 

.09793 

09879 

09964 

10049 

10134 

10218 

10302 

10386 

1  0469 

10552 

34 

.10633 

10717 

10799 

10881 

10963 

31044 

11125 

11206 

11286 

11366 

35 

n  1.11446 

11525 

11604 

11683 

11762 

11841 

11919 

11997 

12075 

12153 

36 

.12230 

12307 

12383 

124C9 

12535 

12611 

1268G 

12761 

12836 

12911 

37 

.12985 

13059 

13133 

13207 

13280 

13353 

13426 

13499 

13571 

13o43 

38 

.13715 

13786 

13857 

13928 

13999 

14070 

14140 

14210 

14280 

14349 

39 

.14418 

14487 

14556 

14624 

14692 

14760 

14828 

14896 

14963 

15030 

40 

nl.!5C97 

15163 

15229 

15295 

15361 

15427 

15492 

15557 

15622 

15687 

41 

.15752 

15816 

15880 

15944 

16007 

16070 

16133 

16l9o 

16259 

16321 

42 

.16383 

16445 

16507 

16568 

16629 

16690 

16751 

•  16812 

16872 

16932 

43 

.16992 

17052 

17111 

17170 

17229 

17288 

17347 

17405 

17463 

17521 

44 

.17379 

17636 

17693 

17750 

17807 

17864 

17920 

17976 

18032 

18088 

45 

n  1.18144 

18199 

•  18254 

18309 

18364 

18419 

18473 

18527 

18581 

18635 

46 

.18689 

18742 

18795 

18848 

18901 

18953 

19005 

19057 

19109 

19161 

47 

.19213 

19264 

19315 

19366 

19417 

19468 

19518 

19568 

19618 

19668 

48 

.19718 

19767 

19816 

19865 

19914 

19963 

2001  1 

20059 

20107 

20155 

49 

.20203 

202:0 

20*97 

20344 

20391 

20438 

20485 

20531 

2U577 

20623 

50 

n  1.20669 

20715 

20760 

20805 

20850 

20895 

20940 

20985 

21029 

21073 

51 

.21117 

21161 

21205 

21248 

21291 

21334 

21377 

21420 

21463 

21505 

52 

.21547 

21589 

21631 

21673 

21714 

21755 

21796 

21837 

21878 

21919 

53 

.21<J59  !  21999 

22039 

22079 

22119 

22159 

22198 

22237 

22276 

22315 

54 

•  .22364 

22393 

22431 

22469 

22507 

22545 

22583 

22621 

22658 

22695 

55 

n  1.22732 

22769 

22806 

22843 

22879 

22915 

22951 

22987 

2:<023 

23058 

GENERAL  TABLES. 


37 


TABLE  XVIII.—  The  Quantities  log.  C  and  Log.  D.—  1850. 

Log.  D  =  n  1.31058,92  -f-  log.  sin  0. 

Argument  =  Arg.  I  -f-  d'  +  Inequalities  +  day  of  year. 

£,og.  ». 

Arg. 

0.0 

0.1 

0.2 

0.3 

0.4 

0.5 

0.6 

0.7 

0.8 

0.9 

0 

1.30598 

30587 

30575 

30563 

30551 

30539 

30527 

30514 

30502 

30489 

1 

.30476 

30464 

30451 

30438 

30425 

30412 

30398 

30385 

30371 

30358  ; 

2 

.30344 

30330 

30316 

30301 

302S7 

30272 

30257 

30242 

30227 

30212 

3 

.30196 

30181 

301C5 

30149 

30133 

30116 

30100 

30083 

30067 

30050 

4 

.30033 

30016 

29998 

29981 

29963 

29946 

29928 

29910 

29892 

29874 

i 

5 

1.29856 

29837 

29S19 

29800 

29781 

29762 

29743 

29723 

29704 

29684 

G 

.'29664 

29644 

29324 

29304 

29583 

29563 

29542 

29521 

29500 

29479 

7 

,29458 

29436 

29415 

29393 

29371 

29349 

293-27 

29:504 

29282 

29259 

8 

.29236 

29213 

29190 

29167 

29143 

29120 

29C96 

29073 

29049 

29U25 

i) 

.29000 

28976 

28951 

28926 

28901 

28876 

28851 

28825 

28800 

28774  ; 

10 

1.28749 

28723 

28697 

28671 

28645 

28618 

28592 

28565 

28538 

28511 

U 

.28483 

28456 

28428 

28400 

28372 

28:544 

28315 

28287 

•  28258 

28230 

12 

.28201 

28172 

28143 

28113 

28084 

28C54 

28025 

27995 

27965 

27934  ! 

13 

.27903 

27873 

27842 

27811 

27780 

27748 

27717 

27685 

27654 

27622  : 

14 

.27590 

27558 

27525 

27493 

27460 

274-27 

27394 

273GO 

27327 

27794  j 

15 

1.27260 

27226 

27192 

27158 

27124 

27089 

27C55 

27020 

26985 

26950 

16 

.26915 

26879 

26844 

26808 

26772 

26736 

26700 

26663 

26627 

26590 

17 

.26553 

26516 

26478 

26441 

26403 

263t>5 

26327 

26288 

26250 

26211 

18 

.26173 

26134 

26095 

26055 

26016 

25977 

25937 

25897 

25857 

25817 

19 

.25777 

25733 

25695 

25654 

25613 

25572 

25531 

25469 

25447 

25405 

20 

1.25363 

25320 

25278 

25235 

25193 

25150 

25107 

25063 

25020 

24976 

21 

.24932 

24888 

24843 

24799 

24754 

24710 

24665 

24620 

24574 

24529 

24 

.24483 

24437 

24391 

24344 

24298 

24251 

24204 

24157 

24110 

24062 

23 

.24015 

23967 

23919 

23871 

23822 

23774 

23725 

23676 

23627 

23578 

24 

.2:5528 

23478 

23428 

23378 

23328 

23277 

23226 

23175 

23124 

23073 

25 

1.23022 

2Q970 

22918 

22866 

22814 

22762 

227C9 

2-2656 

22603 

22549 

26 

.22496 

22442 

22388 

22334 

22280 

22226 

22171 

22116 

22061 

22006 

27 

.21951 

21895 

21839 

21783 

21727 

21670 

21613 

21556 

21499 

21442 

28 

.21384 

21326 

21268 

21210 

21152 

21093 

21034 

20975 

20916 

20857 

29 

.20797 

20737 

20677 

20616 

20556 

20495 

20434 

20373 

20311 

20249 

30 

1-20187 

20125 

20C62 

20000 

19937 

19874 

19811 

19747 

19684 

19620 

31 

.19556 

19491 

19426 

19361 

19296 

19231 

19165 

19099 

19033 

18957 

32 

.18901 

18834 

18767 

18700 

18633 

18565 

18497 

184-29 

18360 

1829-2 

33 

.18223 

18154 

18084 

18015 

17945 

17875 

17804 

17733 

17662 

17591 

34 

.17520 

17448 

17376 

17304 

17232 

17159 

17086 

17013 

16939 

16866 

35 

1.16792 

16718 

16643 

16569 

16494 

16419 

16344 

16268 

16192 

16116 

30 

.16039 

15962 

15885 

15807 

15730 

15652  i  15574 

15496 

15417 

15338 

37 

.15258 

15179 

15099 

15019 

14938 

14857 

14776 

14695 

14613 

14531 

38 

.14449 

14367 

14284 

14201 

14118 

14034 

13950 

13866 

13781 

136J7 

39 

.13612 

13527 

13441 

13355 

13269 

13182 

13095 

13007 

12920 

12832 

40 

1.12744 

12656 

12567 

12478 

12389 

12299 

12209 

12119 

12023 

11937 

41 

.11846 

11754 

11662 

11570 

11478 

11385 

1129-2 

11198 

11104 

11010 

42 

.10915 

10820 

10724 

10629 

10533 

10437 

10340 

10243 

10145 

10048 

43 

.09950 

09852 

09753 

09654 

09555 

09455 

09355 

09254 

09153 

09052 

44 

.08950 

08848 

08746 

08643 

08540 

08436 

08332 

08228 

08123 

08018 

45 

1.07912 

07806 

07700 

07593 

07486 

07379 

07271 

07163 

07054 

06946 

40 

.06836 

06726 

06616 

065U5 

06394 

06283  I  06171 

06058 

05945 

0583-2 

47 

.05719 

05605 

05491 

05376 

05261 

05145 

05029- 

04912 

04795 

04678 

48 

.04560 

04441 

04322 

04202 

04083 

03963 

0384-2 

03721 

03599 

03477 

49 

.03355 

03232 

03.108 

0-2984 

02860 

02735 

02610 

02484 

02358 

02231  j 

50 

1.02103 

01975 

01846 

01717 

01588 

01458 

01327 

01196 

01064 

00932  : 

51 

1.008UO 

00667 

00533 

00399 

00264 

00128  !  :  9999-2 

:  99855 

:  99718 

:  995*1 

52 

0.99443 

99304 

99165 

990-25 

98885 

98744   98602 

98460 

98317 

98174 

53 

.98030 

97885 

97740 

97594 

97448 

97301  1  97153 

97004 

96855 

967U>  • 

54 

.96556 

96405 

96-253 

96101 

95948 

95795 

95641 

9548(5 

95330 

95174  : 

55 

0.95017 

94b59 

94700 

9454J 

943S1 

94222 

940G1 

93899 

93733 

93573 

38 


GENERAL  TABLES. 


TABLE  XVIII.-Thc  Quantities  log.  C  and  log.  D.-1850. 

Argument  —  Arg.  I  -f-  d'  -(-  Inequalities  -f-  day  of  year. 


I^og.  C. 

Arg. 

0.0 

0.1 

0.2 

0.3 

0.4 

0.5 

0.6 

0.7 

0.8 

0.9 

55 

n  1.22732 

22769 

22806 

22843 

22879 

22915 

22951 

22987 

23023 

23*058 

56 

.23093 

23128 

23163 

23198 

23233 

23268 

23302 

23336 

23370 

23404 

57 

.23438 

23472 

23505 

23538 

23571 

23604 

23637 

23670 

23702 

23734 

58 

.23766 

23798 

23830 

23862 

23893 

23924 

23955 

23986 

24017 

24048 

59 

.24079 

24109 

24139 

24169 

24199 

24229 

24259 

24289 

24318 

24347 

60 

n  I  24376 

24405 

24434 

24463 

24491 

24519 

24547 

24575 

24603 

24631 

61 

.24658 

24(185 

24712 

24739 

24766 

24793 

24820 

24846 

24872 

24898 

62 

.24924 

24950 

24976 

25002 

25027 

25052 

25077 

25102 

25127 

25152 

63 

.25176 

25200 

25224 

25248 

25272 

25296 

25320 

25344 

25367 

25390 

64 

.25413 

25436 

25459 

25482 

25504 

25526 

25548 

25570 

25592 

25614 

65 

n  1.25635 

25657 

25678 

25699 

25720 

25741 

25762 

25783 

25803 

25823 

66 

.25843 

25863 

25883 

25903 

25922 

25941 

25960 

25979 

25998 

26017 

67 

.26036 

26055 

26074 

26092 

26110 

26128 

26146 

26164 

26182 

26199 

68 

.26216 

26233 

26250 

26-267 

26284 

26300 

26317 

26333 

26349 

26365 

69 

.26381 

26397 

26413 

26429 

26444 

26459 

26474 

26489 

26504 

26519 

70 

n  1.26533 

26547 

26561 

26575 

26589 

26603 

26617 

26631 

26644 

26657 

71 

.26670 

26683 

26696 

26709 

26722 

26734 

26747 

26759 

26771 

26783 

72 

.26795 

26807 

26819 

26830 

26841 

26852 

26863 

26874 

26885 

26895 

73 

.26905 

26915 

26925 

26935 

26945 

26955 

26965 

26975 

26984 

26993 

74 

.27002 

27011 

27020 

27029 

27038 

27046 

27054 

27062 

27070 

27078 

75 

n  1.27086 

27094 

27102 

271CS 

27116 

27123 

27130 

27137 

27144 

27151 

76 

.27157 

27163 

27169 

27175 

27181 

27187 

27193 

27198 

27204 

27209 

77 

.27214 

27219 

27224 

27229 

27234 

27238 

27242 

27246 

27250 

27254 

78 

.27258 

27262 

27266 

27269 

27272 

27275 

27278 

27281 

27284 

27287 

79 

.27289 

27292 

27294 

27296 

27298 

27300 

27302 

27304 

27305 

27306 

80 

n  1.27307 

27308 

27309 

27310 

27311 

27311 

27311 

27312 

27312 

27312 

81 

.27312 

27312 

27312 

2731  1 

27311 

27310 

27309 

27308  |  27307 

27306 

82 

.27304 

27303 

27301 

27299 

27297 

27295 

27293 

27291 

27289 

27286 

83 

.27283 

27280 

27277 

27274 

27271 

27268 

27265 

27261 

27257 

27253 

84 

.27249 

27245 

27241 

27237 

27232 

27227 

27222 

27217 

27212 

27207 

85 

n  1.27202 

27197 

27192 

27186 

27180 

27174 

27168 

27162 

27156 

27149 

86 

.27142 

27135 

27128 

27121 

27114 

27107 

27100 

27093 

27085 

27077 

87 

.27069 

27061 

27053 

27045 

27037 

27028 

27019 

27010 

27001 

26992 

88 

.26983 

26974 

26965 

26955 

26945 

26935 

26925 

26915 

26905 

26895 

89 

.26884 

26873 

26862 

26851 

26840 

26829 

26818 

26807 

26795 

26783 

90 

n  1.26771 

26759 

26747 

26735 

26723 

26710 

26698 

26685 

26672 

26G59 

91 

.26646 

26633 

26620 

26606   26592 

26578 

26564 

26550 

26536 

26522 

92 

.26507 

26493 

26478 

26463 

26448 

26433 

26418 

26403 

26383 

26372 

93 

.26356 

26340 

26324 

26308 

26292 

•  26275 

26258 

26241 

26224 

26207 

94 

.26190 

26173 

26156 

26139 

26121 

26103 

26085 

26067 

26049 

26031 

95 

n  1.26012 

25994 

25975 

25956 

25937 

25918 

25693 

25880 

25860 

25840 

98 

.25820 

25800  I  25780 

25760 

25740 

25719 

25698 

25677 

25656 

25635 

97 

.25614 

25593   25572 

25550 

25528 

25506 

25484 

25462   25440 

25418 

98 

25395 

25372  1  25349   253*>6 

25303 

25280 

25257 

25234 

25210 

25186 

99 

.25162 

25138  j  25114   25090 

25065 

25040 

25015 

25990 

25965 

24940 

100 

n  1.24915 

24890   24864 

24838 

24812 

24786 

24760 

24734 

24707 

24680 

101 

.24653 

24626  |  24599 

24572 

24545 

24517 

24490 

24462 

24434 

24406 

102 

.24378 

24350   24322 

24293 

24264 

24235 

24206 

24177 

24148 

24118 

103 

.24088 

24058  i  24028 

23998 

23968 

23938 

23908 

238/7 

23846 

23815 

104 

.23784 

23753 

23722 

23690 

23658 

23626 

23594 

23562 

23530 

23498 

105 

n  1.23465 

23432 

23399 

23366 

23333 

23300 

23267 

23233 

23199 

23165 

106 

.23131 

23097 

23063 

23028 

22993 

22958 

22923 

22888 

22.«53 

22817 

107 

.2-2781 

22745 

22709 

22673 

2-2637 

22601 

22565 

22523 

22491 

22454 

108 

.22417 

22380 

22343 

22305 

22267 

22229 

22191 

22153 

22115 

22U76 

109 

.22037 

21998 

21959 

21920 

21881 

21841 

21801 

21761 

21721 

21681 

110 

n  1.21641 

21601 

21560 

21519 

21478 

21437 

21396  |  21355 

21313   21271 

i       | 

i 

GENERAL  TABLES. 


39 


TABLE  XVIII.—  The  Quantities  Log.  C  and  Log  D.-1850. 

Argument  =  Arg.  I  -f-  d'  -\-  Inequalities  -4-  day  of  year.. 

Log.  D. 

j  Arg.      0.0 

0.1 

0.2 

0.3 

0.4 

0.5 

0.6 

0.7 

0.8 

0.9 

55 

0.95017 

94859 

94700 

94541 

91331 

94222 

94061   93899 

93736 

93573 

56 

.93408 

93243 

93077 

92911 

92744 

92576 

92408   92239 

92069 

91rj97 

57 

.91724 

91551 

9K377 

91203 

91028 

90852 

90675   90497 

90318 

90139 

58 

.89959 

89778  j  89596 

89413 

89223 

89044 

88859 

88673 

88483 

88297 

59 

.88107 

87916 

87724 

87532 

87339 

87146 

8G951 

86755 

86558 

86359 

60 

.86159 

85959 

85758 

65556 

85352 

85147 

84941 

84734 

84523 

84317 

61 

.84107 

83896 

83683 

83469 

83254 

83039 

82822 

82604 

82384 

82163 

62 

.81940 

81716 

81491 

81265 

81038 

80810 

80580 

80349 

"80116 

7!K82 

63 

.79646 

79409 

79171 

78931 

78690 

78448 

78*04 

77959 

77712 

7746  5  | 

64 

.77212 

76960 

76706 

76451 

76195 

75937 

75677 

75416 

75153 

74888 

65 

.74620 

74351 

74080 

73808 

73534 

73259 

72982 

72703 

72421 

72137 

66 

.71851 

71563 

71273 

70981 

70687 

70393 

70096 

69796 

69494 

69189 

67 

.68882 

68572 

68260 

67946 

67630 

67313 

66993 

66670 

66344 

6«U15 

68 

.65681 

65347 

65010 

64670 

64328 

63983 

63635 

63284 

62929 

62572 

69 

.62213 

61850 

61483 

61113 

60740 

60365 

59986 

59603 

59216 

58826 

70 

.58432 

58034 

57633 

57228 

56819 

56407 

55989 

55567 

55141 

.r4711 

71 

.54278 

53839 

53395 

52947 

52495 

52038 

51575 

51107 

50634 

50156 

72 

.49672 

49183 

48689 

481  8t> 

47682 

47169 

46649 

46123 

45591 

45053 

73 

.44507 

43954 

43397 

42828 

42253 

41671 

41080 

40481 

39874 

392f;8 

74 

.38633 

38000 

37356 

36703 

36039 

35365 

34680 

33984 

33277 

32558 

75 

.31827 

31084 

30326 

29556 

28772 

27974 

27158 

26329 

25484 

24602 

76 

.23742 

22843 

21926 

20989 

20023 

19048 

18046 

17019 

15938 

14893 

77 

.13788 

12654 

11489 

J0293 

09062 

07795 

06490 

05148 

03759 

02324 

78 

0.00840 

:  99308 

:  97715 

:  96061 

:  94346 

:  92556 

:  90694 

:  88743 

:  86700 

:  84562 

79 

9.82307 

79931 

77418 

74754 

71908 

68870 

65600 

62062 

58216 

53986 

80 

9.49308 

44066 

38100 

31171 

22941 

12768 

:  99466 

:  80200 

:  44700 

n  7.  8702 

81 

n  8.63165 

89324 

:  05535 

:  17312 

:  26567 

:  34192 

:  40676 

:  46317 

:  51308 

:  55784 

8-2 

9.59841 

63552 

66970 

70136 

73087 

75849 

78448 

80901 

83215 

85419 

83 

9  87516 

89517 

91424 

9;>255 

95008 

96697 

98322 

99885 

:  01397 

:  02854 

84 

0.04268 

05634 

06961 

08245 

09495 

10708 

11887 

13038 

14156 

15245 

85 

n  0.16311 

17349 

18362 

19352 

20322 

21269 

22195 

23101 

23939 

24859 

86 

.25714 

26551 

27371 

28176 

28966 

29742 

30504 

31253 

31989 

32711 

87 

.33423 

34123 

34812 

35490 

36157 

36813 

37460 

38098 

38726 

39344 

88 

.39954 

40556 

41148 

41733 

42311 

42879 

4:3441 

43995 

44543 

45082 

89 

.45616 

46142 

46663 

47177 

47684 

48187 

48682 

49173 

49657 

501.% 

90 

n  0.50609 

51077 

51540 

51998 

52452 

52901 

53345 

53784 

54219 

54649 

91 

.55074 

55496 

55914 

56327 

56735 

57140 

57542 

57940 

58334 

58724 

92 

.59108 

59491 

59870 

60246 

60618 

60987 

61353 

61716 

62075 

62431 

93 

.62784 

63134 

63481 

63826 

64168 

64507 

64843 

65176 

65507 

65835 

94 

.66161 

66484 

66804 

07122 

67437 

67750 

68061 

68369 

68675 

68978 

95 

n  0.69279 

69578 

69875 

70170 

70463 

70754 

71042 

713~'8 

71612 

71894 

96 

.72176 

72455 

72732 

73007 

73279 

73549 

73818 

74085 

74:351 

74615 

97 

.74877 

75137 

75396 

7C653 

7C908 

76162 

76414 

76H64 

76913 

77160 

98 

.77407 

77651 

77693 

78134 

78374 

78614 

78851 

79087 

79321 

79553 

99 

.79784 

80014 

80243 

80470 

80696 

80920 

81144 

81367 

81588 

81807 

100 

n  0.82024 

82241 

82457 

82672 

82885 

83097 

83308 

83518   83727 

83935 

!  101 

.84141 

84346 

84550 

84753 

84955   85157 

85357 

85556  i  85754 

85951 

!  102 

.8.6146 

86341 

865^5 

86728 

86920   87110 

87300 

87489  i  87677 

87864 

103 

.88050 

88235 

88419 

88602 

88785   88967 

89148   89328   89507 

89685 

104 

.89861 

90037 

90212 

90387 

9CC61   90734 

90906  1  91077   91247 

91417 

105 

n  0.91586 

91754 

91921 

920S7 

91:253   92418 

92582   92745   92907 

93069 

106 

.93231 

93392 

93552 

93711 

93869   94026  !  94183   94339   94495 

94650 

107 

.94804 

94958 

95111 

95263 

9c414  !  9'>565   95715   95F64   96013 

96161 

108 

.96309 

96456 

96603 

96749 

91894  :  97038 

97182   97c26   97469   97611 

109 

.97751 

97892   98032 

98172 

98311   98449 

9.8586  !  98723   98860   98996 

110 

n  0.99132 

99207  i  99401 

99535 

9U669   99802 

99934  :  00166  :  00197  :  U0328 

'       i 

|       j       j 

GENEKAL  TABLES. 


TABLE  XVIII.— The  Quantities  log.  C  and  log.  D.-1850. 

Argument  —  Arg.  I  +  d'  -+•  Inequalities  -«f-  day  of  year. 


L,og.  C. 

Arg. 

0.0 

0.1 

0.2 

0.3 

0.4 

0.5 

0.6 

0.7 

0.8 

0.9 

110 

n  1.21641 

21601 

21560 

21519 

21478 

21437 

21396 

21355 

21313 

21271 

111 

.21229 

21187 

21145 

21102 

21059 

21016 

20973 

20930 

20887 

20843 

112 

.2U799 

20755 

20711 

20667 

2U623 

20579 

20535 

20490 

20445 

20400 

U3 

.20355 

20310 

20264 

20218 

20172 

20126 

20080 

20033 

19986 

19939 

114 

.19392 

19845 

19798 

19751 

19703 

19655 

19607 

19559 

19511 

19462 

115 

n  1.19413 

19364 

19315 

19266 

19216 

19166 

19116 

19066 

190J6 

18966 

116 

.18915 

18864 

18813 

18762 

18711 

18659 

18807 

18555 

18503 

18451 

117 

.Io399 

18346 

18293 

18240 

18187 

18134 

18081 

18027 

17973 

17919 

118 

.17865 

17811 

17756 

17701 

17646 

17591 

17536 

17480 

17424 

17368 

U9 

.17312 

17256 

17199 

17142 

17085 

17028 

16971 

16913 

16855 

16797 

120 

n  1.16739 

16681 

16622 

16563 

16504 

16445 

16386 

16326 

16266 

16206 

121 

.  16146 

16086 

16025 

15964 

15903 

15842 

15781 

15719 

15657 

15595 

122 

.15533 

15470 

15407 

15344 

15281 

15218 

15154 

15090 

15026 

14962 

123 

.14898 

14833 

14768 

14703 

14638 

14573 

14507 

14441 

14375 

14309 

124 

.14242 

14175 

14108 

14041 

13974 

13906 

13838 

13770 

13702 

13633 

12-3 

n  1.1  3564 

13495 

13426 

13357 

13287 

13217 

13147 

13076 

13005 

12934 

125 

.12863 

12791 

12719 

12647 

12575 

12503 

12430 

12357 

12284 

12211 

127 

.12137 

12063 

11989 

11915 

11840 

11765 

11690 

11615 

11539 

11463 

128 

.11387 

11311 

11234 

11157 

1  1080 

11003 

10925 

10847 

10769 

10691 

12  J 

.10612 

10533 

10454 

10375 

10295 

10215 

10135 

10054 

09973 

09892 

130 

n  1.09811 

09729 

09647 

09565 

09483 

09400 

09317 

09234 

09150 

09066 

131 

.08982 

08897 

08812 

08727 

08642 

08557 

08471 

08385 

08299 

0«212 

132 

.08125 

08038 

07950 

07862 

07774 

C7635 

07596 

07507 

07418 

07328 

133 

.07238 

07148 

07057 

06966 

06875 

06783 

06691 

06599 

06507 

06414 

134 

.06321 

06228 

06134 

06040 

05946 

05851 

05756 

05660 

05564 

05468 

135 

n  1.05372 

05275 

05178 

05081 

04983 

04885 

04787 

04688 

04589 

04490 

136 

.04390 

04290 

04189 

04088 

03987 

03886 

03784 

03682 

03579 

03476 

137 

.03373 

03269 

03165 

03061 

02956 

02851 

02745 

02639 

02533 

02426 

138 

.02319 

02211 

02103 

01995 

01886 

01777 

01668 

01558 

01448 

01337 

139 

.01226 

01114 

01002 

00890 

C0778 

00665 

00552 

00438 

00324 

00209 

140 

n  1.00094 

:  99978 

:  99862 

:  99746 

:  99629 

:  99512 

:  99394 

:  99276 

:  99157 

:  99038 

141 

0.98919 

98799 

98679 

98558 

98437 

98315 

98193 

93070 

97947 

97823 

142 

.97699 

97575 

97450 

97325 

97199 

97072 

96945 

98317 

96689 

96560 

143 

.96432 

96303 

96173 

96043 

95912 

95780 

95648 

95515 

95382 

95249 

144 

•95115 

94980 

94845 

94709 

94573 

94436 

94299 

94161 

94023 

93884 

145 

n  0.93744 

93604 

93463 

93322 

931*0 

93033 

92895 

92751 

92607 

92462 

146 

.92317 

92  171 

92024 

91877 

91729 

91581 

91432 

91282 

91132 

90981 

147 

.90829 

90677 

90524 

90370 

90216 

90061 

89905 

89748 

89591 

89434 

148 

.89276 

89118 

88959 

88799 

88637 

88474 

83311 

83147 

87983 

87818 

149 

.87653 

87487 

87320 

87152 

88983 

86814 

86644 

88473 

88301 

86129 

150 

«  0.85956 

85782 

85607 

85431 

85254 

85077 

84890 

84720 

84540 

84359 

151 

84177 

83995 

83812 

83628 

83442 

83255 

83068 

82880 

82691 

82501 

152 

82310 

82118 

81925 

81731 

81536 

81341 

81145 

80948 

80749 

80549 

153 

80347 

80145 

79942 

79738 

79533 

79327 

79119 

78910 

78700 

78490 

154 

78279 

78067 

77854 

77639 

77422 

77203 

76984 

76764 

76543 

76320 

155 

n  0.76096 

75871 

75644 

75416 

75187 

74957 

74725 

74492 

74257 

74021 

156 

.73784 

73545 

73305 

73063 

72820 

72576 

72330 

72083 

71834 

71583 

157 

.71331 

71077 

70821 

70564 

70306 

70046 

69785 

(59522 

69257 

68989 

158 

.68719 

68448 

68175 

67901 

67625 

(.7347 

67067 

66785 

66501 

66215 

159 

.65927 

65637 

65345 

65051 

64755 

64456 

64155 

63852 

63547 

63240 

160 

n  0.62931 

62619 

62305 

619S8 

61669 

61347 

61023 

60696 

60367 

60035 

161 

.59701 

59364 

59024 

58681 

58335 

57937 

57635 

57280 

5(5922 

56561 

102 

.56199 

55833 

55464 

55091 

54714 

54332 

53948 

53561 

53170 

52775 

163 

.52377 

51975 

51569 

51159 

50745 

50328 

49906 

49479 

49048 

48613 

164 

.48173 

47729 

47280 

46826 

46367 

45904 

45435 

44961 

44481 

43996 

165 

n  0.43506 

43010 

42508 

42000 

41485 

40964 

40437 

39903 

39363 

33817 

. 

1 

GENERAL  TABLES. 


41 


TABLE  XVIII.—  The  Quantities  Log.  C  and  Log.  D.-1850. 

Argument  =  Arg.  I  -f-  d'  -{-  Inequalities  -f-  day  of  year. 

log.D. 

Arg. 

0.0      0.1 

0.2 

0.3 

0.4 

0.5 

0.6 

0.7 

0.8  ' 

0.9 

110 

n  0.99132 

99267 

99401 

99535 

99669 

99802 

99934 

:  00066 

.  00197 

:  00328 

111 

1.00459 

00588 

00717 

00845 

00974 

01102 

01229 

01356 

01482 

01608 

112 

.01733 

01858 

01982 

02106 

0-2229 

02351 

02473 

02595 

02716 

02837 

113 

.02958 

03078 

03197 

03316 

03435 

03553 

03671 

03788 

03905 

04021 

114 

.04137 

04253 

04368 

04483 

04597 

04710 

04823 

04936 

05048 

05160 

115 

n  1.05272 

05383 

05494 

05604 

05714 

05824 

05933 

06042 

06150 

06258 

116 

.06365 

06472 

06579 

06685 

06791 

06896 

07001 

07106 

07210 

07314 

117 

.07418 

07521 

07624 

07727 

07829 

07931 

08033 

08134 

08235 

C8335 

118 

.C8434 

08534 

08633 

08732 

08830 

08928 

09026 

09124 

09221 

09318 

119 

.09414 

C9510 

09606 

09701 

09796 

09891 

C99S6 

10080 

10174 

10267 

120 

n  1.10359 

10452 

10545 

10637 

10729 

10820 

10911 

11002 

11092 

11182 

121 

.11272 

11362 

11451 

11540 

11628 

11716 

11804 

11892 

11979 

12066 

122 

.12153 

12240 

12326 

12412 

12498 

12583 

12668 

12753 

12837 

12921 

123 

.13005 

13u89 

13172 

13255 

13338 

13420 

13502 

13584 

13665 

13746 

124 

.13827 

13908 

13988 

14068 

14148 

14227 

14307 

14386 

14465 

14543 

125 

n  1.14621 

14699 

14777 

14854 

14931 

15008 

15085 

15161 

15237 

15313 

123 

.15389 

15464 

15539 

15614 

15689 

15763 

15837 

15911 

15984 

16057 

1-27 

.16130 

16203 

16276 

16:348 

16420 

16492 

16564 

16635 

16706 

16777 

128 

.16847 

16917 

16987 

17057 

17127 

17196 

17265 

17334 

17403 

17471 

129 

.17539 

176G7 

17675 

17743 

17810 

17877 

17944 

18011 

18077 

18143 

130 

n  1.182C9 

18275 

18340 

18405 

18470 

18535 

18600 

18664 

18728 

18792 

131 

.18855 

18919 

18982 

19045 

19108 

19170 

19233 

19295 

19357 

19419 

132 

.19480 

19541 

19602 

19663 

19724 

19785 

19845 

19905 

19965 

20025 

133 

.20084 

20143 

20202 

20261 

20320 

20378 

20436 

20494 

20552 

20610 

134 

.20667 

20724 

20781 

20837 

20894 

20950 

21006 

21062 

21118 

21174 

135 

n  1.21229 

21284 

21339 

21394 

21449 

21503 

21557 

21611 

21665 

21719 

136 

.21772 

21825 

21878 

21931 

21984 

22036 

22(188 

22140 

22192 

22244 

KIT 

.22296 

22347 

22398 

22449 

22500 

2-2551 

226C2 

22652 

22702 

22752 

138 

.22802 

22852 

22901 

22950 

22999 

23048 

23097 

23145 

23193 

23241 

139 

.23289 

23337 

23385 

23432 

23479 

2:3526 

23573 

236-20 

23667 

23713 

140 

n  1.23759 

238C5 

23851 

23897 

23942 

23987 

24032 

24077 

24121 

24166 

141 

.24211 

24255 

24299 

24343 

24387 

24431 

24474 

24517 

24560 

24603 

142 

.24646 

24688 

24731 

24773 

24815 

24857 

24899 

24941 

2498-2 

25024 

143 

.25065 

251  C6 

25147 

25188 

25229 

25269 

25309 

25349 

25389 

25429 

144 

.25468 

25507 

25546 

25585 

25624 

25663 

25701 

25740 

25778 

25816 

145 

n  1.25854 

25892 

25929 

25967 

26004 

26041 

26078 

26115 

26152 

26189 

146 

.26225 

26261 

26297 

26333 

26:369 

264C5 

26411 

26476 

26511 

26546 

147 

.26581 

26616 

26650 

26G84 

26719 

26753 

26787 

2H820 

26854 

26887 

148 

.26921 

26S54 

26987 

27020 

27053 

27086 

27119 

27151 

27183 

27215 

149 

.27247 

27-278 

27310 

27341 

27373 

27404 

27435 

27466 

27497 

27528 

150 

n  1.27558 

27588 

27618 

27648 

27678 

27708 

27738 

27767 

27796 

27826 

151 

.27855 

27884 

27912 

27941 

27969 

27998 

28C26 

28054 

28082 

28110 

152 

.28138 

281C5 

28193 

28220 

28247 

28274 

28301 

283-27 

28354 

28380 

153 

.28416 

28432 

28458 

28484 

28510 

28535 

28560 

28585 

28610 

28635 

154 

.28660 

28£84 

287C9 

28733 

28758 

28782 

28806 

28830 

28854 

28878 

155 

n  1.28902 

2881:5 

28949 

28972 

•23995 

29018 

29041 

29063 

29086 

•291C8 

156 

.29130 

29152 

29174 

29196 

29218 

29239 

29260 

29281 

29302 

29323 

157 

.29344 

29365 

29385 

29406 

29426 

29446 

29466 

^9486 

29506 

29526 

158 

.29546 

29565 

29584 

29604 

29623 

29642 

29661 

29680 

21:698 

29716 

159 

.29734 

29752 

29770 

29788 

29806 

29823 

29841 

29858 

29875 

29892 

160 

n  1.299C9 

29926 

29942 

29959 

29975 

29992 

30C08 

30024 

30040 

30C56 

161 

.3CCJ72 

30088 

30103 

30119 

30134 

30149 

30164 

30178 

30193 

30207 

162 

.30222 

3C236 

30250 

30264 

30278 

3C292 

303C5 

30319 

30332 

30346 

163 

.30359 

30372 

30385 

30398   :it'4  1  1 

30423 

30435 

30448 

30460 

30472 

164 

.30484 

304C6 

30507 

30519   30530 

30542 

30553 

30564 

30575 

31  5.-ti  i 

165 

n  1.3C5C6 

3C6C6 

3C617 

3C627 

30637 

3C647 

30657 

30667 

30676 

30686 

42 


GENERAL  TABLES. 


TABLE  XVIII.— The  quantities  log.  C  and  log.  D.— 1850. 

Argument  =  Arg.  I  -f-  d1  +  Inequalities  +  day  of  year. 


JLOS.  C. 

Arg. 

0.0 

0.1 

0.2 

0.3 

0.4 

0.5 

0.6 

0.7 

0.8 

0.9 

165 

n  0.43506 

43010 

42508 

42000 

41485 

40964 

40437 

39903 

39363 

38817 

166 

.38264 

37702 

37132 

36557 

35972 

35379 

34779 

34170 

33551 

32925 

167 

.32288 

31641 

30987 

30320 

29643 

28956 

28257 

27546 

26826 

26091 

168 

.25343 

24584 

23809 

23022 

22219 

21400 

20567 

19716 

18850 

17984 

169 

.17059 

16138 

15194 

14231 

13244 

12236 

11202 

10145 

09058 

07944 

170 

n  0.06803 

05628 

04424 

03181 

01906 

00588 

:  99233 

:  97829 

:  96383 

:  94833 

171 

9.93333 

91722 

90053 

88317 

86503 

84616 

82637 

80569 

78392 

76108 

172 

9.73686 

71131 

68415 

65510 

62400 

59052 

55428 

51462 

47110 

42263 

173 

7i9.36811 

30582 

23285 

14537 

03560 

:  88812 

:  66371 

n  17354 

p  21  397 

:  67720 

174 

p  8.89621 

:  04148 

:  14987 

:  23676 

:  30894 

:  37081 

:  42511 

:  47323 

:  51654 

:  55804 

175 

9.59214 

62546 

65650 

68538 

71246 

73802 

76209 

78489 

80656 

82725 

176 

9.84694 

86578 

88389 

90122 

91788 

93393 

94945 

96439 

97883 

99235 

177 

0.00638 

01951 

03225 

04466 

056G9 

06840 

07980 

09093 

10176 

11232 

178 

.12263 

13273 

14257 

15219 

16160 

17083 

17985 

18868 

19734 

20584 

179 

.21416 

22233 

23034 

23820 

24595 

25354 

26099 

26832 

27554 

282G3 

180 

0.28960 

29646 

30322 

30988 

31643 

32288 

32923 

33549 

34109 

31776 

181 

.35376 

35967 

36550 

37127 

37695 

38255 

38808 

39351 

39895 

40427 

182 

.40953 

41473 

41987 

42495 

42996 

43491 

4398  L 

444(55 

44944 

45418 

183 

.45885 

46348 

46808 

47259 

47708 

48152 

48591 

4902ft 

49456 

49381 

184 

.50302 

50719 

51132 

51541 

51946 

52348 

52745 

53139 

53529 

5^916 

185 

0.54299 

54679 

55056 

55429 

55798 

56164 

56527 

56887 

57244 

57598 

186 

.57949 

58297 

58642 

58984 

59324 

59661 

59P95 

60328 

60655 

60981 

187 

.61305 

61626 

61944 

62260 

62574 

62886 

63195 

63502 

638U7 

64109 

188 

.64409 

64707 

65003 

65297 

65589 

65877 

66164 

66449 

66732 

67014 

189 

.67294 

67572 

67848 

68122 

68394 

68664 

68932 

69193 

69483 

69727  ! 

190 

0.69989 

70249 

70507 

70763 

71018 

71271 

71523 

71773 

72022 

72269 

191 

.72514 

72758 

73000 

73241 

73481 

73720 

73957 

74193 

74427 

74659 

192 

.74890 

75120 

75318 

75575 

75801 

76026 

76250 

76472 

76693 

76913 

193 

.77131 

77348 

77564 

77779 

77993 

78205 

78416 

78826 

78835 

79043 

194 

.79251 

79457 

79662 

79866 

80068 

80269 

80469 

80663 

80866 

81064 

195 

0.81261 

81456 

81650 

81843 

82036 

82228 

82419 

82609 

82798 

829^5 

196 

.83171 

83357 

83542 

83726 

83909 

84091 

84272 

84452 

84631 

84810 

197 

.84988 

85165 

85341 

85516 

85691 

85865 

86033 

86210 

86381 

8655-2 

198 

.86722 

86891 

87059 

87226 

87393 

87559 

87725 

87890 

83054 

88216 

199 

.   .88377 

88538 

83698 

88858 

89018 

89J77 

89335 

89492 

89649 

89805 

200 

0.89960 

90115 

90269 

90422 

90575 

90727 

90878 

91029 

91179 

91328 

201 

.91477 

91625 

91772 

91919 

92065 

92211 

92356 

92501 

92645 

92788 

202 

.92930 

93072 

93213 

93354 

93495 

93635 

93774 

93913 

94051 

94183 

203 

.94325 

94482 

94598 

94733 

94888 

950'02 

95136 

95270 

95403 

95535 

204 

.95666 

95797 

95927 

96057 

96187 

96316 

96445 

96573 

98701 

9J823 

205 

0.96954 

97080 

97206 

97331 

97456 

97580 

97704 

97827 

97950 

93072 

208 

.98194 

98315 

98438 

98557 

98677 

93797 

93916 

99034 

9J152 

99270 

207 

0.99388 

99505 

99622 

99738 

99854 

99969 

:  00084 

:  00193 

:  00312 

:  00426  I 

208 

1.00539 

00652 

00764 

00876 

00988 

01099 

01210 

01320 

01430 

01539 

209 

.01648 

01757 

01865 

01973 

02031 

02183 

02295 

02401 

02507 

02813 

210 

1.02718 

02823 

02928 

03032 

03136 

03239 

03342 

03445 

03547 

03649  j 

211 

.03751 

03852 

03953 

04054 

04154 

04254 

04353 

04452 

04551 

04850 

212 

.04748 

04846 

04943 

05040 

05137 

05234 

05330 

05426 

05521 

05616 

213 

.057  1  1 

05805 

05899 

05993 

06087 

06180 

06273 

06368 

Oii458 

Oti5.)0 

214 

.06642 

06733 

06824 

06915 

07006 

07096 

07  186 

07275 

07.364 

07453 

215 

1.07542 

07630 

07718 

07806 

07893 

07980 

08067 

08153 

0823!) 

08325  1 

216 

.08411 

08496 

08581 

08868 

08751 

08335 

08919 

09003 

09088 

091G9  j 

217 

.09252 

09335 

09417 

09499 

03581 

09662 

09743 

09824 

091)05 

OU988 

2l« 

.10068 

10146 

10225 

10304 

10383 

10462 

10540 

10618 

10696 

10774 

219 

.10852 

10929 

11006 

11083 

113(50 

11238 

11312 

11383 

11463 

11533  1 

220 

1.11613 

11688 

11762 

11838 

11910 

11984 

12058 

12131 

12204' 

12277 

GENERAL  TABLES. 


43 


TABLE  XVIII.—  The  Quantities  log.  C  and  Log.  D.—  1850. 

Argument  =  Arg.  I  -f-  d'  -f-  Inequalities  -f-  day  of  year. 

x,og.  i>. 

Arg. 

0.0 

0.1 

0.2 

0.3 

0.4 

0.5 

0.6 

0.7 

0.8 

0.9 

165 

n  1.30596 

30606 

30617 

30627 

30637 

30647 

30657 

30667 

30676 

30686 

166 

.30696 

30705 

30714 

30724 

30733 

30742 

30751 

30759 

30768 

30776 

167 

.30784 

30792 

30800 

308G8 

30816 

30823 

30831 

30838 

30846 

30853 

168 

.30860 

30867 

30873 

30880 

30886 

30893 

30899 

30905 

30911 

30917 

169 

.30923 

30923 

30934  ' 

30939 

30945 

30950 

30955 

30960 

30965 

30970 

170 

w  1.30974 

30978 

30983 

3(987 

30991 

30995 

30999 

31002 

31006 

31010 

171 

.31013 

31016 

31019 

31022 

31025 

31028 

31031 

31033 

31036 

31038 

172 

.31041 

31043 

31045 

31047 

31049 

31050 

31052 

31053 

31054 

31C55 

173 

.31056 

31057 

31057 

31058 

31058 

31059 

31059 

31059 

31059 

31059 

174 

.31059 

31059 

31058 

31058 

31057 

31056 

31055 

31053 

31052 

31050 

175 

n  1.31049 

31047 

31046 

31044 

31042 

31040 

31038 

31036 

31033 

31031 

176 

.31028 

31025 

31022 

31019 

31016 

31013 

31009 

31006 

31002 

309S9 

177 

.30995 

30991 

30987 

30983 

30979 

30974 

30969 

30965 

30960 

30955 

178 

.30950 

30945 

30939 

30934 

30928 

30923 

30917 

30911 

30905 

30899 

179 

.30893 

30886 

30880 

30873 

30867 

30860 

30853 

30845 

30838 

30831 

180 

n  1.30823 

30816 

30808 

30800 

30792 

30784 

30776 

30767 

30759 

30750 

181 

.30742 

30733 

30724 

30715 

30706 

30697 

30688 

30678 

30668 

30658 

182 

.30648 

30638 

30627 

30617 

30606 

30596 

30585 

30575 

30564 

30553 

183 

.30542 

30531 

30519 

30508 

30496 

30485 

30473 

30461 

30449 

30437 

184 

.30424 

30411 

30399 

30386 

30373 

30360 

30347 

30334 

30321 

30307 

185 

n  1.30293 

30279 

30265 

30251 

30237 

30223 

30209 

30194 

30180 

30165 

186 

.30150 

30135 

30120 

30104 

30089 

30074 

30058 

30042 

30026 

30010 

187 

.29994 

29978 

29961 

29945 

29928 

29911 

29894 

29877 

29860 

29843 

188 

.29826 

29808 

29791 

2S773 

29755 

29737 

29719 

29700 

29682 

29663 

189 

.29645 

29626 

29607 

29588 

29569 

29550 

29530 

29511 

29491 

29471 

190 

n  1.29451 

29431 

29410 

29390 

29369 

29349 

29328 

29307 

29286 

29265 

191 

.29844 

29223 

29201 

29180 

29158 

29136 

29114 

29091 

29069 

29046 

192 

.29024 

29001 

28978 

28955 

28932 

28909 

28885 

28862 

28838 

28815 

193 

.26791 

28767 

28743 

28719 

28695 

28670 

28645 

28620 

28595 

28570 

194 

.28545 

28519 

28494 

28468 

28442 

28416 

28390 

28363 

28337 

28310 

195 

n  1.28284 

28257 

28230 

28203 

28176 

28149 

28121 

28094 

28066 

28039 

196 

.28011 

27983 

27954 

27926 

27897 

27869 

27840 

27811 

27782 

27753 

197 

.27723 

27694 

27664 

27634 

27604 

27574 

27543 

27513 

27482 

27452 

198 

.27421 

27390 

27359 

27327 

27296 

27265 

27233 

27201 

27169 

27137 

199 

.27105 

27072 

27040 

27007 

26975 

26942 

26909 

26875 

26842 

26808 

200 

n  1.26775 

26741 

26707 

26672 

26638 

26604 

26569 

26534 

26499 

26464 

201 

.26429 

26393 

26358 

26322 

26287 

26251 

26215 

26179 

26142 

26106 

202 

.26070 

26033 

25996 

25958 

25921 

25884 

25846 

25808 

25770 

25732 

203 

.25694 

25655 

25617 

25578 

25539 

25500 

25461 

25421 

25382 

25342 

204 

.25303 

25263 

25223 

25183 

25143 

25102 

25C61 

25020 

24979 

24938 

205 

n  1.24896 

24854 

24813 

24771 

24729 

24687 

24644 

24602 

24559 

24517 

206 

.24474 

24430 

24387 

24343 

24300 

24256 

24212 

24167 

24123 

24078 

207 

.24034 

23989 

23944  ' 

23899 

23854 

23808 

23762 

23716 

23670 

23624 

208 

.23578 

23531 

23485 

23438 

23391 

23344 

23296 

23249 

23201 

23153 

209 

.23105 

23056 

23008 

22959 

22911 

22862 

22812 

22763 

22713 

22664 

210 

n  1.22614 

22564 

22513 

22463 

22412 

22362 

22311 

22260 

22208 

22157 

211 

.22106 

22054 

22002 

21949 

21897 

21845 

21792 

21738 

21685 

21631 

212 

.21578 

21524 

21470 

21416 

21362 

21307 

21252 

21197 

21142 

21087 

213 

.21032 

20976 

20920 

20864 

20808 

20752 

20695 

20638 

20581 

20524 

214 

.20467 

20409 

20351 

20293 

20235 

20177 

20118 

20059 

20000 

19941 

215 

n  1.19882 

19822 

19762 

19702 

19642  - 

19582 

19521 

19460 

19399 

•19338 

216 

.19276 

19214 

19152 

19090 

19028 

18965 

18902 

18839 

18776 

18713 

217 

.18649 

18585 

18521 

18457 

18393 

18328  i  18263 

18197 

18132 

18066 

218 

.18001 

17934 

17868 

17801 

17735 

17668 

176CO 

17533 

17465   17398 

219 

.17330 

17261 

17193 

17124 

17055 

16986 

16916 

16846 

16776   16706 

220 

n  1.16636 

16565 

16494 

16422 

16351 

16^80 

16208 

16135 

16063   15990 

1 

GENERAL  TABLES. 


TABLE  XVIII.-The  Quantities  Log.  C  and  log.  D.-1850. 

Argument  =  Arg.  I  -j-  d'  -\-  Inequalities  +  day  of  year. 

J.OS.  C. 

Arg. 

0.0 

0.1 

0.2 

0.3 

0.4 

0.5 

0.6 

0.7 

0.8 

0.9 

220 

3.11613 

11688 

11762 

11836 

11910 

11984 

12058 

12131 

12204 

12277 

221 

.12350 

12422 

12494 

12566 

12638 

12709 

12780 

12851 

12922 

12992 

222 

.13062 

13132 

13202 

13271 

13340 

13409 

13478 

13546 

13614 

13682 

223 

.13750 

13818 

13885 

13952 

14019 

14086 

14153 

14219 

14285 

14351 

224 

.14417 

14482 

14547 

14612 

14677 

14742 

14806 

14870 

14934 

14998 

225 

1.  15061 

15124 

15187 

15250 

15313 

15376 

15438 

15500 

15562 

15624 

220 

.15685 

15746 

15807 

15868 

15929 

15989 

16049 

16109 

16169 

16228 

227 

.16287 

16346 

16405 

16464 

16523 

16581 

16639 

16697 

16755 

16813 

228 

.16870 

16927 

16984 

17041 

17098 

17154 

17210 

17266 

17322 

17378 

2*9 

.J7433 

17488 

17543 

17598 

17653 

17707 

17761 

17815 

17869 

17923 

230 

1.17977 

18030 

18083 

18136 

18189 

18242 

18294 

18346 

18398 

18450 

231 

.18502 

18554 

18605 

18656 

18707 

18758 

18809 

18859 

18909 

18959 

232 

.19009 

19059 

19109 

19158 

19207 

19256 

19305 

19354 

19402 

19450 

233 

.19498 

19546 

19594 

19642 

19689 

19736 

19783 

19830 

19877 

19924 

234 

.19970 

20016 

20062 

20108 

20154 

20200 

20245 

20290 

20335 

20380 

235 

1.20425 

20470 

20514 

20558 

20602 

20646 

20690 

20734 

20777 

20820 

236 

.20863 

20906 

20949 

20992 

21034 

21076 

21118 

21160 

21202 

21244 

237 

.21285 

21326 

21367 

21408 

21449 

21490 

21531 

21571 

21611 

21651 

238 

.21691 

21731 

21771 

21810 

21849 

21888 

21927 

21966 

22005 

22043 

239 

.22081 

22119 

22157 

22195 

22233 

22270 

22307 

22344 

22381 

22418 

240 

1.22455 

22492 

22528 

22564 

22600 

22636 

22672 

22708 

22744 

2-2779 

241 

.22814 

22849 

22884 

22919 

22954 

22988 

23022 

23056 

23090 

23124 

242 

.23158 

23192 

23226 

23259 

23292 

23325 

23358 

23391 

23424 

23457 

243 

.23488 

23520 

23552 

23584 

23616 

23647 

23678 

23709 

23740 

23771 

244 

.23802 

23833 

23864 

23894 

23924 

23954 

23984 

24014 

24044 

24073 

245 

1.24102 

24]  31 

24160 

24189 

24218 

24247 

24276 

24304 

24332 

24360 

246 

.24388 

24416 

24444 

24472 

24499 

24526 

24553 

24580 

24607 

24634 

247 

.24660 

24687 

24713 

24739 

24765 

24791 

24817 

24843 

24868 

24893 

248 

.24918 

24943 

24968 

24993 

25018 

25042 

25066 

25090 

25114 

25138 

249 

.25162 

25186 

25210 

25233 

22256 

25279 

25302 

25325 

25348 

25371 

250 

1.25393 

25415 

25437 

25459 

25481 

25503 

25525 

25547 

25568 

25589 

251 

.25610 

25631 

25652 

25673 

25693 

25713 

25733 

25753 

25773 

'25793 

252 

.25813 

25833 

25853 

25872 

25891 

25910 

25929 

25948 

25967 

25986 

253 

.26004 

26022 

26040 

26058 

26076 

26094 

26112 

26130 

26147 

26164 

254 

.26181 

26198 

26215 

26232 

26249 

26265 

26281 

26297 

26313 

26329' 

255 

1.26345 

26361 

26377 

26392 

26407 

26422 

26437 

26452 

26467 

26482 

2t>6 

.26496 

26511 

26525 

26539 

26553 

26567 

26581 

265D5 

26608 

26621 

257 

.26634 

26647 

26660 

26673 

26686 

26698 

26711 

26723 

26735 

26747 

258 

.26759 

26771 

26783 

26795 

26806 

2(:8J7 

26828 

26839 

26850 

26H61 

259 

.26871 

26882 

26893 

26903 

26913 

269,23 

26933 

26943 

26953 

2GU62 

260 

1.26971 

26980 

26989 

26998 

27007 

27016 

27025 

27034 

27042 

27050 

261 

.27058 

27066 

27074 

27082 

27090 

27097 

27104 

27111 

27118 

27125 

262 

.27132 

27139 

27146 

27152 

27158 

27164 

27170 

27176 

27182 

27188 

263 

.27193 

27199 

27204 

27209 

27214 

27219 

27224 

27229 

27234 

27238 

264 

.27242 

27246 

27250 

27254 

27*58 

27262 

27266 

27269 

27272 

27275 

265 

'   1.27278 

27281 

27284 

27287 

27289 

27291 

27293 

27295 

27297 

27399 

266 

.27301 

27303 

27305 

27306 

27307 

27308 

27309 

27310 

27311 

'^7.512 

267 

.27312 

27312 

27312 

27313 

27313 

27313 

2731  3 

27313 

27312 

27311 

268 

.27310 

27309 

27308 

27307 

27306 

27304 

27303 

27301 

27299 

27297 

269 

.27295 

27-293 

27291 

27289 

27286 

27283 

27280 

27277 

27274 

27*71 

270 

1.27267 

27264 

27261 

27257 

27253 

27249 

27245 

27241 

27237 

27232 

GENERAL  TABLES. 


45 


TABLE  XVIII.-The  Quantities  log.  C  and  Log.  D.-1850. 

Argument  =  Arg.  I  •+-  d'  +  Inequalities  -f-  day  of  year. 

Log.  ». 

1  Arg.      0.0 

0.1 

0.2 

0.3 

0.4 

0.5 

0.6 

0.7 

0.8 

0.9 

220   n  1.1  6636 

16565 

16494 

16422 

16351 

16280 

16208 

16135 

16063 

15990 

221 

.15918 

15845 

15771 

15698 

15624 

15550 

15476 

15401 

15326 

15251 

222 

.15176 

15100 

15024 

14948 

14872 

14795 

14718 

14640 

14563 

14486 

223 

.14408 

14330 

14251 

14173 

14094 

14015 

13935 

13855 

13775 

13695 

224 

.13614 

13533 

13452 

13370 

13288 

13206 

13123 

13040 

12957 

12874 

225 

n  1.12791 

12707 

12623 

12539 

12455 

12370 

12285 

12199 

12113 

12027 

22(5     .11941 

11854 

11767 

11679 

11592 

11504 

11416 

11327 

11238 

11149 

227 

.11060 

10970 

10880 

10790 

10699 

10608 

10517 

10425 

10333 

10241 

j  228 

.10149 

10056 

09963 

09869 

09775 

09681 

09586 

09491 

09396 

09301 

229 

.09205 

09109 

09012 

08915 

08818 

08721 

08623 

08525 

08426 

08327 

i  230 

n  1.08228 

08128 

08028 

07928 

07827 

07726 

07625 

07523 

07421 

07318 

231 

.07215 

07112 

07008 

06904 

06799 

06694 

06589 

06483 

06377 

06271 

\  232 

.06164 

06057 

05950 

05842 

05734 

05625 

05516 

05406 

05296 

05286 

233 

.05075 

04964 

04852 

04740 

04628 

04515 

04402 

04288 

04174 

04059 

|  234 

.03944 

03829 

03713 

03597 

03480 

03363 

03245 

03127 

03009 

02890 

235 

n  1.02771 

02651 

02531 

02410 

02289 

02167 

02045 

01922 

01799 

01675 

236 

.01551 

01426 

01301 

01175 

01049 

00923 

00796 

00668 

00540 

00412 

237 

1.00283 

00153 

00023 

:  99892 

:  99761 

:  99630 

:  99498 

;  99365 

:  99232 

:  99098 

238  .   0.98964 

98829 

98694 

98558 

98421 

98284 

98146 

9S008 

97869 

97730 

239 

.97590 

97449 

97308 

97166 

97024 

96881 

96737 

96593 

96448 

96303 

240 

«  0.96157 

96010 

95863 

95715 

95566 

95417 

95267 

95117 

94966 

94814 

241 

.94662 

94509 

94355 

94201 

94046 

93890 

93733 

93575 

93417 

93259 

242 

.93101 

92941 

92780 

92618 

92456 

92293 

92129 

91964 

91799 

91633 

243 

.91467 

91300 

91132 

90963 

90793 

90622 

90451 

90279 

90106 

89932 

244 

.89756 

89580 

89403 

89225 

89047 

88869 

88689 

88508 

88326 

88144 

245 

n  0.87961 

87777 

87592 

87406 

87219 

87030 

86841 

86651  i  86460 

88268 

1  246 

.86075 

85881 

85686 

85490 

85293 

85095 

84896 

84696   84495 

84293  ! 

247 

.84089 

83885 

83680 

83473 

83265 

83056 

82847 

82636  i  824-24 

8-2210 

248 

.811)94 

81778 

81561 

81343 

81123 

80902 

80680 

80456  i  80231 

80005 

249 

.79778 

79550 

79320 

79069 

78856 

78621 

78386 

78149  i  77911 

77671 

250 

n  0.77429 

77186 

76941 

76695 

76448 

76200 

75949 

75697  !  75443 

75188 

251 

.74931 

74673 

74413 

74151 

73887 

73621  !  73354 

73085  i  72814 

72541 

252 

.72266 

71990 

71712 

71432 

71149 

70864   70577 

70288   69997 

69705 

253 

.69411 

69114 

688  15 

68514 

68210 

67904 

67596 

67286  i  66974 

66659 

254 

.66342 

66022 

65700 

65375 

65048 

64716 

64383 

64047  |  63708 

.63366 

255 

n  0.63022 

62675 

62325 

61972 

61616 

61256 

60894 

60529  !  60160 

59787 

256 

.59411 

59032 

58650 

58-264 

57875 

57482 

57085 

56684  !  56279 

55S70 

257 

.55458 

55042 

54622 

54197 

53767 

53:531 

52^92 

52448   52000 

51548 

!  258 

.51093 

50631 

50164 

49691 

49213 

48730 

48240 

47744   47242 

46735 

259 

.46222 

45701 

45174 

44640 

44100 

43554 

43GOI 

42441  j  41874 

41300 

260 

«  0.40717 

40124 

39525 

38917 

38-298 

37673 

37036 

36391  |  35735 

35070 

!  261 

.34393 

33705 

33US 

3-2298 

31575 

30843 

30095 

29334  !  2^562 

27773 

26-2     .26970 

26151 

25317   24468 

23600 

2-2714 

21809 

20886  i  19941 

18976 

263     .179*9   16979 

K  944   M>-4 

13798 

12683 

11542 

10364 

09150 

07909 

264    O.C6630   05311 

03951 

03547 

01092 

:  99591 

:  98035 

:  96422 

:  94741 

:  92998 

265   n991182   89260 

87298 

85214 

83031 

80727 

78299 

75721 

72987 

70061 

266    9.66933 

6:3554 

59896 

55891 

51479 

46578 

41046   34698 

27275 

18307  | 

;  267 

n  9  C6988 

:  91639 

:  67680 

«  097  97 

p  35  1-27 

:  75904  :  96568  1  10510 

21049 

29523 

!  268 

p  9.366  11 

42703 

48045 

52801 

57087   60987 

64566  |  67872 

70944 

73813  1 

269 

9.76504 

79045 

81438 

83707 

85862   87921 

89882  |  91758  !  93560 

95287 

270 

9.96946   98550 

:  00091  :  01580 

:  G30-20  j  :  04416 

:  05769  ,'  :  17078  :  08351 

:  09585 

1 

46 


GENERAL  TABLES. 


TABLE  XVIII.—  The  Quantities  Log.  C  and  Log.  D.—  1850. 

Argument  =  Arg.  I  -j-  d'  -j-  Inequalities  +  day  of  year. 

tog.  €. 

Arg. 

0.0 

0.1 

0.2 

0.3 

0.4 

0.5 

0.6 

0.7 

0.8 

0.9 

270 

1.27267 

27264 

27261 

27257 

27253 

27249 

27245 

27241 

27237 

27232 

271 

.27227 

27222 

27217 

27212 

27207 

27202 

27197 

27192 

27186 

27180 

272 

.27174 

27168 

27162 

27156 

27149 

27142 

27135 

27128 

27121 

27114 

273 

.27107 

27100 

27093 

27085 

27077 

27069 

27061 

27053 

27045 

27037 

274 

.27028 

27020 

27011 

27002 

26993 

26984 

26975 

26966 

26956 

26946 

275 

1.26936 

26926 

26916 

26906 

26896 

26885 

26875 

26864 

26S53 

26842 

276 

.26831 

26820 

26809 

26798 

26786 

26774 

26762 

26750 

26738 

26726 

277 

.26713 

26701 

26688 

26675 

26662 

26649 

26636 

26623 

26609 

26595 

278 

.26581 

26567 

26553 

26539 

26525 

26510 

26496 

26481 

26466 

26451 

279 

.26436 

26421 

26406 

26391 

26375 

26359 

26343 

26327 

26311 

26295 

2SO 

1.26278 

26261 

26244 

26227 

26210 

26193 

26176 

26159 

26141 

26123 

281 

.26105 

26087 

26069 

26051 

26033 

26014 

25996 

25977 

25958 

25939 

282 

.25920 

25901 

25882 

25862 

25842 

25822 

25802 

25782 

25762 

25741 

283 

.25720 

25699 

25678 

25657 

25636 

25615 

25594 

25572 

25550 

25528 

284 

.25506 

25484 

25462 

25440 

25417 

25394 

25371 

25348 

25325 

25302 

283 

1.25278 

25254 

25230 

25206 

25182 

25158 

25134 

25110 

25085 

25060 

286 

.25035 

25010 

24985 

24960 

24935 

24909 

24883 

24857 

24831 

24805 

287 

.24779 

24753 

24726 

24699 

24672 

24645 

24618 

24591 

24563 

24535 

288 

.24507 

24479 

24451 

24423 

24394 

24365 

24336 

24307 

24278 

24249 

289 

.24220 

24191 

24161 

24131 

24101 

24071 

24041 

24011 

23980 

23949 

290 

1.23918 

23887 

23856 

23825 

21-5793 

23761 

23729 

23697 

23665 

23633 

291 

.23601 

23569 

23536 

23503 

23470 

23437 

23404 

23370 

23336 

23302 

292 

.23268 

23234 

23200 

23166 

23131 

23096 

23061 

23026 

22991 

22955 

293 

.22919 

22883 

22847 

22811 

22775 

22739 

22702 

22665 

22628 

22591 

294 

.22554 

22516 

22479 

22441 

22403 

22365 

22327 

22289 

22250 

22211 

295 

1.22172 

22133 

22094 

22055 

22015 

21975 

21935 

21895 

21855 

21814 

296 

.21773 

21732 

21691 

21650 

21609 

21568 

21526 

21484 

21442 

21400 

297 

.21358 

21316 

21273 

2,230 

21187 

21144 

21101 

21057 

21013 

20969 

298 

.20925 

20881 

20836 

20791 

20746 

20701 

20656 

20611 

20565 

2C519 

299 

.20473 

20427 

20381 

20335 

20288 

20241 

20194 

20147 

20100 

20052 

300 

1.20004 

19956 

19908 

19860 

19811 

19762 

19713 

19664 

19615 

19566 

301 

.19516 

19466 

19416 

19366 

19315 

19264 

19213 

19162 

19111 

19060 

302 

.19008 

18956 

18904 

18852 

18800 

18747 

18394 

18641 

18588 

18535 

303 

.18482 

18428 

18374 

18320 

18266 

18211 

18156 

18101 

18046 

17990 

304 

J7934 

17878 

17822 

17766 

17710 

17653 

17596 

17539 

17482 

17424 

305 

1.17366 

17308 

17250 

17192 

17134 

17075 

17016 

16957 

16898 

16838 

306 

.16778 

16718 

16658 

16597 

16536 

16475 

16414 

16352 

16290 

16228 

307 

.16166 

16104 

16041: 

15978 

15915 

15852 

15789 

15725 

15661 

15597 

308 

.15533 

15468 

15403 

15338 

15273 

15208 

15142 

15076 

15010 

14943 

309 

.14876 

14809 

14742 

1467? 

14607 

14539 

14471 

14402 

14333 

14264 

310 

1.14195 

14126 

14056 

13986 

13916 

13846 

13775 

13704 

13633 

13562 

311 

.13490 

13418 

13346 

13274 

13201 

13128 

.13055 

12981 

12907 

12833 

312 

.12759 

12684 

12609 

12534 

12459 

12384 

12308 

12232 

12156 

12079 

313 

.12002 

11925 

11847 

11769 

11691 

11613 

11534 

11455 

11376 

11297 

314 

.11217 

11137 

11057 

10976 

10895 

10814 

10733 

10651 

10569 

10487 

315 

1.10404 

10321 

10238 

10154 

10070 

09986 

09902 

09817 

09732 

09647 

316 

.09561 

09475 

09389 

09302 

09215 

09128 

09040 

08952 

08864 

08776 

317 

.08687 

08598 

08509 

08419 

08329 

08239 

08148 

08057 

07966 

07874 

318 

.07782 

07690 

07597 

07504 

07410 

073  16 

07222 

07127 

07032 

06937 

319 

.06842 

06746 

06650 

06553 

06456 

06359 

06262 

06164 

06066 

05C67 

320 

1.05868 

05769 

056C9 

05569 

05469 

05368 

05267 

05165 

05063 

04961 

GENERAL  TABLES. 


TABLE  XYIIL-The  Quantities  Log.  C  and  Log.  D.-1850. 

Argument  =  Arg.  I  -|-  d'  -f-  Inequalities  +  day  of  year. 

Log.  D. 

Arg. 

0.0 

0.1 

0.2 

0.3 

0.4 

1 
0.5 

0.6 

0.7 

0.8 

0.9 

270 

9.96946 

98550 

:  00091 

:  01580 

:  03020 

:  04416 

:  05769 

:  07078 

:  08351 

:  09585 

271 

0.10783 

11958 

13095 

14205 

15285 

16341 

17372 

18379 

19360 

20322 

272 

.21263 

22184 

23084 

23967 

24833 

25631 

26513 

27330 

28131 

28918 

273 

.29690 

30449 

31195 

31928 

32649 

33357 

34055 

34741 

35416 

36081 

274 

.36736 

37382 

38018 

38644 

39260 

39871 

40470 

41062 

41647 

4222-4 

275 

0.42790 

43351 

43905 

44452 

44992 

45526 

46052 

46572 

47086 

47594  1 

276 

.48095 

48591 

49081 

49566 

50046 

50520 

50988 

51451 

51909 

52363  j 

277 

.52812 

53256 

53696 

54131 

54562 

54993 

55410 

55828 

56242 

56652 

278 

.57057 

57459 

57857 

58252 

58643 

59031 

59415 

59796 

60173 

60546 

279 

.60915 

61282 

61646 

62007 

62365 

62719 

63070 

63418 

63764 

64107 

280 

0.64447 

64784 

65118 

65450 

65780 

66107 

66431 

66752 

67071 

67388 

281 

.67703 

68015 

68325 

68632 

68937 

69240 

69540 

69838 

70134 

70429  1 

282 

.70722 

71012 

71300 

71586 

71870 

72152 

72432 

72710 

72986 

73261  ; 

283 

.73534 

73805 

74074 

74341 

74607 

74871 

75133 

75393 

75652 

75909  j 

284 

.76165 

76419 

76671 

76922 

77171 

77419 

77665 

77909 

78152 

78394 

285 

0.78634 

78873 

79111 

79347 

79581 

79814 

80046 

80276 

80505 

80733 

286 

.80960 

81186 

81410 

81633 

81854 

82074 

82293 

82510 

82726 

8-2941 

287 

.83156 

83369 

83580 

83791 

84001 

84209 

84416 

84622 

84827 

85031 

288 

.85234 

85436 

85637 

858:i7 

86036 

86233 

86430 

86626 

86821 

87015 

289 

.87207 

87399 

87590 

87780 

87969 

88157 

88314 

83530 

88715 

88899 

290 

0.89083 

89265 

89446 

89627 

89807 

89987 

90165 

90342 

90518 

90694 

291 

.90869 

91043 

91216 

91388 

91560 

91731 

91901 

92070 

92239 

92407 

292 

.92574 

92740 

92905 

93070 

93234 

93397 

93559 

93721 

93882 

94042 

293 

.94202 

94361 

94519 

94676 

94833 

94989 

95144 

95299 

95453 

95606 

294 

.95759 

95911 

96063 

96214 

96364 

96513 

96662 

96810 

96958 

97115 

295 

0.97251 

97397 

97542 

97687 

97831 

97974 

93117 

98259 

98401 

9854  > 

296 

0.98682 

98822 

98961 

99100 

99238 

99376 

99513 

99650 

99786 

99921 

297 

1.00055 

00189 

00322 

00455 

00588 

00721 

00853 

00984 

01114 

01244 

298 

.01373 

01502 

01630 

01758 

01886 

02013 

02140 

02266 

02392 

02517 

299 

.02641 

02765 

02889 

03012 

03134 

03256 

03378 

03499 

03620 

03740 

300 

1.03860 

03980 

04099 

04218 

04336 

04453 

04570 

04687 

04803 

04919 

301 

.05035 

05150 

05264 

05378 

05492 

05605 

05718 

05830 

05942 

06054 

302 

.06165 

06276 

06386 

06496 

06606 

06715 

06824 

06932 

07040 

07148 

303 

.07255 

07362 

07468 

07574 

07680 

07785 

07890 

07995 

08099 

08203 

304 

.083G6 

08409 

08512 

08614 

Oc716 

08817 

08913 

09019 

09120 

09220 

305 

1.09320 

09420 

09519 

09618 

09716 

09813 

09911 

10008 

10105 

10202 

306 

.10298 

10394 

10490 

10585 

10680 

10774 

10863 

10962 

11056 

11149 

307 

.11242 

11335 

11427 

11519 

11611 

11702 

11793 

11834 

11974 

12064 

308 

.12153 

12242 

12331 

12420 

12509 

12597 

12685 

12772 

12859 

12946 

309 

.13033 

13119 

13205 

13291 

13377 

13462 

13547 

13631 

13715 

13799 

310 

1.13883 

13966 

14049 

14132 

14215 

14297 

14379 

14461 

14542 

14623 

311 

.14704 

14784 

14864 

14944 

15024 

15104 

15183 

15262 

15341 

15419 

312 

.15497 

15575 

15652 

15729 

15806 

15883 

15959 

10035 

16111 

16187 

313 

.16263 

16338 

16413 

16488 

16562 

16636 

16710 

16784 

16857 

16930 

314 

.17003 

17076 

17148 

17220 

17292 

17364 

17435 

17506 

17577 

17648 

315 

1.17718 

17788 

17858 

17928 

17998 

18067 

18136 

18205 

18273 

18341 

316 

.18409 

18477 

16544 

18611 

18678 

13745 

18311 

18877 

18943 

190U9 

317 

.19075 

19140 

19205   19270 

19335 

19400 

19464 

19528 

19592 

19^56 

318 

.19719 

19782 

19845   19908 

19970 

20032 

20094 

20156 

2U218 

2(;279 

319 

.20340 

20401 

20462   20523 

20583  !  20643 

20703 

20763 

20822 

20.-81 

320 

1.20940 

20999 

21058   21116 

21174  |  21232 

21290 

21347 

21404 

21461 

1 

GENERAL  TABLES. 


TABLE  XVIII.— The  Quantities  Log.  C  and  Log.  B.— 1850. 

Argument  =  Arg.  I  -f-  d'  -f-  Inequalities  -|-  day  of  year. 


JLog-  €. 

Arg. 

0.0 

0.1 

0.2 

0.3 

0.4 

0.5 

0.6 

0.7 

0.8 

0.9 

320 

1.05863 

05769 

05689 

05569 

05469 

05368 

05267 

05165 

05063 

04961 

321 

.04858  I  04755 

04651 

04547 

04443 

04338 

04233 

04127 

04021 

03915 

322 

.03809   03702 

03595 

03487 

03379 

03270 

03161 

03051 

02941 

02831 

323 

.02720  1  02609 

02497 

02385 

02273 

02160 

02046 

01932 

01818 

01704 

324 

.01589  1  01473 

01357 

01241 

01124 

01007 

00889 

00771 

00652 

00533 

325 

1.00413  1  00293 

00172 

00051 

:  99929 

:  99807 

:  99684 

:  99561 

:  99437 

:  99313 

326 

0.99189 

99064 

98938 

98812 

98386 

98559 

98431 

98303 

98J75 

98048 

327 

.97917 

97787 

97656 

97525 

97393 

97260 

97127 

96993 

96859 

96725 

328 

.96590 

96454 

96318 

96181 

98044 

95906 

95767 

95628 

95488 

95348 

329 

.95208 

95067 

94925 

94782 

94639 

94495 

94350 

94205 

94059 

93913 

330 

0.93766 

93618 

93470 

93321 

93171 

93021 

92870 

92718 

92568 

92413 

331 

.92260 

92106 

91951 

91795 

91638 

91481 

91323 

91164 

91005 

90845 

332 

.90685 

90524 

90362 

90199 

90035 

89870 

89705 

89539 

89372 

89204 

333 

.89036 

88867 

88697 

88526 

88354 

88182 

88009 

87835 

87660 

87484 

334 

.87308 

87130 

86951 

86772 

86592 

86411 

86229 

86046 

85862 

85677 

335 

0.85492 

85306 

85119 

84931 

84741 

84550 

84359 

84167 

83974 

83779 

333 

.83583 

83386 

83188 

829,-9 

82790 

82590 

8*383 

82185 

81931 

81776 

337 

.81571 

81364 

81356 

80947 

80736 

80524 

80311 

80097 

79882 

79665 

333 

.79447 

79223 

79008 

78786 

78563 

78338 

78113 

77886 

776o8 

77428 

339 

.77197 

76965 

76731 

76496 

76260 

76022 

75783 

75542 

75300 

75056 

340 

0.74811 

74564 

74315 

74065 

73813 

73560 

73306 

73050 

72792 

72532 

341 

.72269 

72006 

71741 

71474 

71206 

70936 

70664 

70391) 

70114 

69336 

342 

.69556 

69274 

63990 

68704 

68416 

63127 

67835 

67541 

67245 

6B946 

343 

.66645 

66342 

66037 

65730 

65420 

65108 

64793 

64476 

64156 

63334 

344 

.63510 

63183 

62853 

62520 

62185 

61847 

61506 

61162 

60316 

6U467 

345 

0.60115 

59760 

59402 

59040 

58675 

58306 

57935 

57561 

57183 

56801 

346 

.56416 

56028 

55636 

55240 

54840 

54436 

54028 

53616 

53200 

52780 

347 

.52357 

51929 

51496 

51059 

50617 

50170 

49719 

49263 

48802 

48335 

348 

.47863 

47386 

46904 

46416 

45922 

45422 

44916 

44404 

43836 

43362 

349 

.42834 

42297 

41753 

41202 

40644 

40078 

39504 

38922 

38332 

37734 

350 

0.37127 

36513 

35888 

35256 

34614 

33960 

33298 

32624 

31941 

31245 

351 

.30540 

29821 

29091 

28347 

27592 

26821 

26039 

25239 

24427 

23597 

352 

.22753 

21890 

21011 

20112 

19193 

18257 

17298 

163J9 

15316 

14288 

353 

.13238 

12159 

11055 

09919 

08753 

07558 

06325 

05060 

0.5753 

02405 

354 

0.01017 

:  99580 

:  93094 

:  96559 

:  94963 

:  93306 

:  93588 

:  89794 

:  87923 

:  85972 

355 

9.83924 

81775 

79513 

77134 

74609 

71929 

69080 

60022 

62733 

59373 

356 

9.55306 

51049 

46329 

41032 

35015 

28008 

19649 

09287 

:  95652 

.  75735 

357 

8.37700 

«  7.  9791 

:  63224 

:  88204 

:  03973 

:  15515 

:  24620 

:  32145 

:  33559 

:'  4414  I 

358 

M9.49U92 

53536 

57567 

61255 

64645 

67798 

70738 

73490 

76079 

73521 

359 

9.80834 

83024 

85113 

87107 

89013 

90839 

92591 

94275 

9589o 

97454 

360 

n  9.  98963 

:  00420 

:  01830 

:  03198 

:  04520 

:  05804 

:  07052 

:  0C25-1 

:  09440 

:  10538 

361 

0.11707 

12797 

13861 

14898 

15912 

16902 

17870 

18317 

19744 

20651 

362 

.21539 

22409 

23260 

24097 

24917 

25723 

26513 

27289 

28052 

23801 

363 

.29537 

30261 

30973 

31673 

32362 

33041 

33708 

34366 

3)013 

35651 

364 

.38279 

36897 

37507 

38109 

38703 

39288 

39368 

40436 

40993 

41554 

365 

n  0.421  02 

42644 

43179 

43707 

44223 

44741 

45250 

45753 

46249 

46739 

366 

.47223 

47703 

48177 

48646 

49110 

49570 

50024 

50473 

50917 

53358 

367 

.51791 

52222 

52648 

53070 

53483 

53902 

54312 

54718 

55120 

55518 

368 

.55911 

56302 

56689 

57073 

57453 

57829 

58202 

58571 

58937 

59300 

369 

.59661 

60018   60372 

60723 

61072 

61418 

61761 

62101 

62438 

62771 

370 

n  0.631  00 

'JJ429   63755 

64078 

64399 

64717 

65033 

65346 

65657 

65968 

GENERAL  TABLES. 


TABLE  XVIII.-The  Quantities  Log.  C  and  Log.  D.-1850. 

Argument  =  Arg.  I  -f-  d'  -f-  Inequalities  -f-  day  of  year. 

JLog.  I>. 

* 

1 

Arg. 

0.0 

0.1 

6.2 

0.3 

0.4 

0.5 

0.6 

0.7 

0.8 

0.9 

320 

1.20940 

20999 

21058 

21116 

21174 

21232 

21290 

21347 

21404 

21461 

321 

.21518 

21575 

21632   21688 

21744 

21800 

21856 

21911 

21966 

22021 

322 

.22076 

22131 

22185 

22239 

22293 

22347 

22401 

22454 

22507 

22560 

323 

.22613 

22666 

22718 

22770 

22822 

22874 

22926 

22978 

23029 

23080 

324 

.23131 

23182 

23233 

23283 

23333 

23383 

23433 

23483 

23532 

23581 

325 

1.23630 

23679 

23728 

23776 

23824 

23872 

23920 

23968 

24016 

24063 

326 

.24110 

24157 

24204 

24251 

24297 

24343 

24:389 

24435 

24481 

24526 

327 

.24571 

24616 

24661 

24706 

24751 

24795 

24839 

24883  !  24927 

24971 

328 

.25014 

25057 

25100 

25143 

25186 

25229 

25272 

25314   25356 

25398 

'  329 

.25440 

25482 

25523 

25564 

25605 

25646 

25687 

25728 

25768 

25808 

330 

1.25848 

25888 

25928 

25968 

26007 

26046 

26085 

26124 

26163 

26201 

331 

.26239 

26277 

26315 

26353 

26391 

26429 

26466 

26503 

26540 

26577 

332 

.26614 

26651 

26687 

26723 

26759 

26795 

26831 

26866 

26901 

26936 

333 

.26971 

27006 

27041 

27076 

27110 

27144 

27178 

27212 

27246 

272HO 

|  334 

.27313 

27346 

27379 

27412 

27445 

27477 

27510 

27542 

27574 

27606 

335 

1.27638 

27670 

27702 

27733 

27764 

27795 

27826 

27857 

27888 

27918 

336 

.27948 

27978 

28008 

28038 

28068 

28097 

28126 

28155 

28184 

28213 

337 

.28242 

28271 

28299 

28327 

28:355 

28383 

28411 

28439   28466 

28493 

338 

.28520 

28547 

28574 

28601 

28628 

28654 

28660 

28706   28732 

28758 

339 

.28784 

28810 

28835 

28860 

28685 

28910 

28935 

28960 

28984 

29003 

340 

1.29032 

29056 

29080 

29104 

29127 

29150 

29173 

29196 

29219   29242 

341 

.29265 

29288 

29310 

29332 

29J54 

29376 

£0398 

2J420 

29442   29463 

342 

.29484 

29605 

29526 

29547 

29568 

29588 

29608 

29628   29648   29668 

343 

.29688 

297C8 

29727 

29746 

29765 

29784 

29803 

29822 

29841   29859 

344 

.29877 

29895 

29913 

29931 

29949 

29966 

29984 

30001 

30018   30035 

- 

345 

1.30052 

30069 

30086 

30102 

30118 

30134 

30150 

30166   30182  i  30198  | 

346 

.30213 

30228 

30243 

30258 

30273 

30288 

30303 

30318   30332 

30346 

347 

.30360 

30374 

30388 

30402 

30415 

30428 

30441 

30454 

30467 

30480 

348 

.30492 

30505 

30517 

30529 

30541 

30553 

30565 

30577 

30589 

30600  ; 

349 

.3061  1 

30622 

30633 

30644 

30635 

30665 

30675 

30685 

30695 

30705 

350 

1.30715 

30725 

30735 

30744 

30753 

30762 

30771 

30780 

30789 

30798 

351 

.30806 

30814 

30822 

30830 

308:38 

30846 

30854 

30861   30868   :-;«.»87f> 

352 

.30882 

30889 

30896 

30903 

30909 

30915 

30921 

30927 

30933   30939 

353 

.30045 

30951   30956 

30961 

30966 

30971 

30976 

30981 

30986   3C990 

354 

.301/J4 

30998  '  31002 

31006 

31010 

31013 

31017 

31020 

31023   31026 

355 

1.31029 

31032 

31035 

31038 

31040 

31042 

31044 

31046 

31048   31050 

356 

.31051 

31053 

31054 

31055 

31056 

31057 

31058 

31058 

31059   31059 

357 

.31059 

31059 

31059 

31059 

31058 

31058 

31057 

31056 

31055  !  31054 

1  358 

.31053 

31052 

31051 

31049 

31047 

31045 

31043 

31041 

31039  I  31036 

359 

.31033 

31030 

31027 

31024 

31021 

31018 

31015 

31012 

31008 

31004 

360 

1.31000 

30996 

30992 

30988 

30963 

30978 

30973 

30963 

30963 

30058 

3(51 

.30953 

30948 

30942 

309:36 

30930 

30924 

30918 

30912 

30906 

30899 

1  362 

.30892 

30885 

30878 

30871 

308W 

30856 

30849 

30841 

30833 

30825 

I  363 

.30817 

30809 

30801 

30792 

30783 

30774 

30765 

30756 

30747 

30738 

!  364 

.30728 

30719 

30709 

30699 

30689 

3C679 

30669 

30659 

30648 

3UG37 

365 

1.30626 

30615 

30604 

30593 

30581 

30569 

30557 

30545 

30533 

30521 

366 

.30509 

30497 

30484 

30471 

30458 

30445 

30432 

30419 

30406 

30392 

367 

.30378 

30364 

30350  I  30336 

30322 

30307 

30293 

30278 

30263 

30248 

368 

.30233 

30218 

30203 

30187 

30171 

30155 

30139 

30123   30107  |  30091 

369 

.30074 

30057 

30040 

30023 

30006 

29989 

29972 

29954   29936   29918 

370 

1.29900 

29882  !  29864 

29846 

29827 

29-08 

29769 

29770   29751   29732 

| 

!                  | 

50 


GENERAL  TABLES. 


TABLE  XIX.—  The  Quantities  Log.  h,  H  and  Log.  1.-1850. 

Argument  =  Arg.  I  -{-  d'  -\-  Inequalities  -}-  day  of  year. 

Arg. 

Log.  h. 

H. 

Log.  i. 

Arg. 

Log.  h. 

H. 

Log.  i. 

o   / 

0    / 

0 

1.30986 

352  21.1 

n  0.0715 

51 

1.28304 

302  3.7 

n  0.8486 

1 

.30967 

351  24.7 

.1212 

52 

.28245 

301  0.6 

.8529 

2 

.30947 

350  28.4 

.1657 

53 

.28188 

299  57.4 

.8570 

3 

.30925 

349  32.0 

.2060 

54 

.28132 

298  54.1 

.8610 

4 

.30900 

348  35.5 

.2427 

55 

.28076 

297  50.7 

.8648 

5 

1.30873 

347  38.9 

w  0.2764 

56 

1.28022 

296  47.2 

n  0.8684 

6 

.30844 

346  42.3 

.3075 

57 

.27970 

295  43.5 

.8718 

7 

.30813 

345  45.6 

.3365 

58 

.27920 

294  39.7 

.8751 

8 

.30780 

344  48.8 

.3635 

59 

.27872 

293  35.7 

.8782 

9 

.30745 

343  51.9 

.3888 

60 

.27827 

292  31.6 

.'8812 

JO 

1.30709 

342  55.0 

n  0.4125 

61 

1.27782 

291  27.5 

n  0.8840 

11 

.30671 

341  58.0 

.4349 

62 

.27738 

290  23.3 

.8867 

12 

.30631 

341  0.8 

.4561 

63 

.27695 

289  19.0 

.8892 

13 

.30589 

340  3.6 

.4761 

64 

.27654 

288  14.6 

.8916 

14 

.30545 

339  6.2 

.4952 

65 

.27614 

2c7  10.0 

.8938 

15 

1.30499 

338  8.7 

n  0.5133 

66 

1.27577 

286  5.5 

'  n  0.8959 

J6 

.30453 

337  11.2 

.5305 

67 

.27543 

285  0.9 

.8978 

17 

.30415 

336  13.5 

.5470 

68 

.27511 

283  56.2 

.8996 

18 

.30354 

335  15.6 

.5627 

69 

.27482 

282  51.4 

.9013 

19 

.30303 

334  17.7 

.5777 

70 

.27456 

281  46.5 

.9028 

20 

1.30250 

333  19.6 

n  0.5921 

71 

1.27431 

280  41.7 

n  0.9041 

21 

.30196 

332  21.4 

.6059 

72 

.27408 

279  36.8 

.9054 

22 

.30141 

331  23.0 

.6191 

73 

.27388 

278  31.9 

.9065 

23 

.30085 

330  24.5 

.6318 

74 

.27370 

277  26.9 

.9075 

24 

.30027 

329  25.9 

.6440 

75 

.27355 

276  21.8 

.9083 

25 

1.29968 

328  27.2 

n  0.6558 

76 

1.27342 

275  16.8 

n  0.9090 

26 

.29908 

327  28.3 

.6671 

77 

.27332 

274  11.8 

.9096 

27 

.29847 

326  29.2 

.6780 

78 

.27324 

£73  6.8 

.9100 

28 

.29785 

325  30.0 

.6884 

79 

.27318 

272  1.9 

.9103 

29 

.29723 

324  30.6 

.6985 

80 

.27313 

270  57.0 

.9105 

30 

1.29660 

323  31.0 

«  0.7082 

81 

1.27312 

269  52.1 

n  0.9106 

31 

.29596 

322  31.3 

.7176 

82 

.27314 

268  47.2 

.9105 

32 

,29532 

321  31.4 

.7267 

83 

.27318 

267  42.4 

.9103 

33 

.29467 

320  31.4 

.7354 

84 

.27324 

266  37.7 

.9099 

34 

.29401 

319  31.3 

.7438 

85 

.27333 

265  33.0 

.9095 

35 

1.29335 

318  31.0 

n  0.7519 

86 

1.27344 

264  28.4 

w  0.9089 

36 

.29269 

317  30.5 

.7597 

87 

.27358 

263  23.8 

.9081 

37 

.29202 

316  29.9 

.7673 

88 

.27374 

262  19.3 

.9073 

38 

.29136 

315  29.1 

.7746 

89 

.27392 

261  14.9 

.9063 

,  39 

.2907-0 

314  28.1 

.7816 

90 

.27413 

260  10.7 

.9052 

40 

1.29004 

313  26.9 

n  0.7884 

91 

1.27436 

259  6.5 

n  0.9039 

41 

.28938 

312  25.6 

.7950 

92 

.27461 

258  2.4 

.9025 

42 

.28872 

311  24.2 

.8013 

93 

.27488 

256  58.4 

.9010 

43 

.28806 

310  22.6 

.8074 

94 

.27517 

255  54.5 

.8993 

44 

.28741 

309  20.8 

,.8132 

95 

.27549 

254  50.8 

.8976 

45 

1.28676 

308  187 

n  0.8189 

96 

1.27582 

253  47.2 

n  0.8956 

46 

.28612 

307  16.6 

.8243 

97 

.27617 

252  43.7 

.8936 

47 

.28549 

306  14.3 

.8296 

98 

.27654 

251  40.4 

.8914 

48 

.28486 

305  11.9 

.8346 

99 

.27694 

250  37.3 

.8891 

49 

.28424 

304  9.3 

.8395 

100 

.27736 

249  34.3 

.8866 

50 

1.28364 

303  6.6 

n  0.8441 

1C1 

1.27779 

248  31.5 

n  0.8d40 

GENERAL  TABLES. 


51 


TABLE  XII.—  The  Quantities  Log.  h,  II  and  Log.  i.—  1850. 

Argument  =  Arg.  I  -{-  d'  +  Inequalities  -{-  day  of  year. 

Arg. 

Log.  h. 

H. 

Log.  i. 

Arg. 

Log.  h. 

H. 

Log.  *. 

0    / 

0    / 

102 

1.27824 

247  28.8 

n  0.8812 

153 

1.30658 

198  17.8 

n  0.4409 

103 

.27870 

246  26.3 

.8783  ! 

154 

.30695 

197  24.2 

.4202 

104 

.27918 

245  23.9 

.8753 

155 

.30731 

196  30.7 

.3984 

105 

.27967 

244  21.6 

.8721 

156 

.30765 

195  37.3 

.3753 

10G 

.28017 

243  19.6 

.8687 

157 

.30797 

194  44.0 

.3508 

107 

1.28069 

242  17.8 

n  0.8653 

158 

1.30827 

193  50.8 

n  0.3246 

108 

.28122 

241  16.2 

.8616     159 

.30855 

192  57.6 

.2967 

109 

.28176 

240  14.8 

.8578  !!    160 

.30880 

192  4.5 

.2668 

110 

.28-232 

239  13.5 

.8539 

161 

.30904 

191  11.5 

.2345 

111 

.28289 

238  12.4 

.8497 

162 

.30926 

190  18.5 

.1994 

112 

1.28347 

237  11.5 

n  0.8454 

163 

1.30947 

189  25.6 

n  0.1612 

113 

.28406 

236  10.8 

.8410 

164 

.30967 

188  32  8 

.1192 

114 

.28466 

235  10.3 

.8364  , 

165 

.30986 

187  400 

.0725 

115 

.28526 

234  10.0 

.8316  ! 

166 

.31002 

186  47.3 

0.0201 

116 

.28587 

233  9.9 

.8266 

167 

.31016 

185  54.6 

9.9603 

117 

•1.28648 

232  10.0 

n  0.8214 

168 

1.31028 

185  20 

n  9.8909 

118 

.28710 

231  10.3 

.8161 

169 

.31038 

184  9.4 

.8080 

119 

.28772 

230  10.8 

.8106 

170 

.31045 

183  16.8 

.7055 

IW 

.28834 

229  11.6 

.8048 

171 

.31051 

182  24.2 

.5708 

121 

.28897 

228  12.5 

.7989 

172 

.31055 

181  31.7 

.3743 

122 

1.28960 

227  13.6 

n  0.7928 

173 

1.31057 

180  39.2 

n  9.  0056 

123 

.29023 

226  14.9 

.7864 

174 

.31058 

179  46.7 

p  8.5337 

124 

.29086 

225  16.4 

.7799 

175 

.31057 

178  54.2 

9.2296 

125 

.29150 

224  18.2 

.7731 

176 

.31055 

178  1.7 

.4844 

126 

.29214 

223  20.1 

.7661 

177 

.31050 

177  9.2 

.6438 

127 

1.29277 

222  22.2 

n  0.7588 

178 

1.31043 

176  16.7 

9.7601 

128 

.29340 

221  24.5 

.7513 

179 

.31033 

175  24.2 

9.8516 

129 

.29403 

220  27.0 

.7436 

180 

.31021 

174  31.6 

.9270 

130 

.29465 

219  29.7 

.7356 

181 

.31008 

173  39.0 

9.9912 

131 

.29527 

218  32.5 

.7273 

182 

.30994 

172  46.4 

0.0470 

132 

1.29589 

217  35.5 

n  0.7187 

183 

1.30978 

171  53.7 

.0.0963 

133 

.29649 

216  38.7 

.7098 

184 

.30960 

171  1.1 

.1405 

134 

.29709 

215  42.1 

.7007 

185 

.30939 

170  8.4 

.1804 

135 

.29768 

214  45.9 

.6912 

186 

.30917 

169  15.7 

.2169 

136 

.29826 

213  49.7 

.6813 

187 

.30893 

168  22.9 

.2505 

137 

1.29884 

212  53.6 

n  0.6712 

188 

1.30867 

167  30.0 

0.2815 

138 

.29941 

211  57.7 

.660(5 

189 

.30840 

166  37.0 

.3104 

139 

.29998 

211  2.0 

.6497 

190 

.30811 

165  439 

.3373 

140 

.30054 

210  6.6 

.6384 

191 

.30781 

164  £0.8 

.3626 

141 

.30108 

209  11.2 

.6266 

192 

.30749 

163  57.6 

.3863 

142 

1.30161 

208  16.0 

n  0.6144 

193 

1.30715 

163  4.3 

0.4088 

143 

.30213 

207  20.9 

.6018 

194 

.30679 

162  10.9 

.4300 

144 

.30.63 

206  26.0 

.5886 

195 

.30642 

161  17.4 

.4501 

145 

.30313 

205  31.2 

.5749 

196 

.30604 

160  23.8 

.4692 

146 

.30361 

204  36.6 

.5606 

197 

.30564 

159  30.1 

.4873 

147 

1.30408 

20?  42.1 

n  0.5457 

198 

1.30522 

158  36.3 

0.5047 

148 

.30453 

202  .47.8 

.5302 

199 

.30479 

157  42.5 

.5212 

149 

.30497 

20"l  53.6 

.5140 

200 

.30434  j   156  48.6 

.5370 

150 

.30540 

200  -59.5 

.4970 

201 

.30389    155  54.3 

.5522 

151 

.30581 

200  5.5 

.4792     202 

.30342    154  59.9 

.5667 

152 

1.30620 

199  11.6 

n  0.4605  •    203 

H 

1.30294    154  5.3      0.5e07 

GENERAL  TABLES. 


TABLE  XIX.—  The  Quantities  Log.  li,  II  and  Log.  i.—  1850. 

Argument  =  Arg.  I  -f-  d'  -f-  Inequalities  -}-  day  of  year. 

Arg. 

Log.  h. 

H. 

Log.  i. 

Arg. 

Log.  h. 

H. 

Log.  i. 

0     / 

o   / 

204 

1  30244 

153  10.5 

0.5941 

255 

1.27490 

103  5.9 

0.9009 

205 

.30192 

152  16.6 

.6070 

256 

.27463 

102  2.7 

.9024 

206 

.30140 

151  21  8 

.6194 

257 

.27438 

100  59.4 

.9038 

207 

.30087 

150  26.8 

.6313 

258 

.27415 

99  56.0 

.9050 

208 

.30033 

149  31.7 

.6428 

259 

.27394 

98  52.5 

.9062 

209 

1.29977 

148  36.5 

0.6539 

260 

1.27376 

97  48.8 

0.9072 

210 

.29921 

147  41.3 

.6646 

261 

.27360 

98  45.2 

.9080 

211 

.29864 

146  45.8 

.6750 

262 

.27346 

95  41.5 

.9088 

212 

.29806 

145  50.1 

.6849 

263 

.27335 

94  37.7 

.9094 

213 

.29747 

144  54.2 

.6946 

264 

.27326 

93  33.7 

.9099 

214 

1.29688 

143  58.2 

0.7039 

265 

1.27319 

92  29.7 

0.9102 

215 

.29628 

143  J5.0 

.7129 

266 

.27315 

91  25.6 

.9105 

216 

.29568 

142  !>.6 

.7216 

267 

.27313 

90  21.5 

.9106 

217 

.29507 

141  9.1 

.7300 

268 

.27313 

89  17.3 

.9105 

218 

.29446 

140  12.4 

.7381 

269 

.27316 

88  13.2 

.9104 

219 

129384 

339  155 

0.7460 

270 

1.27321 

87  9.1 

0.9101 

220 

.29321 

138  184 

.7536 

271 

.27328 

86  4.9 

.9097 

221 

.29259 

137  21.2 

.7609 

272 

.27337 

85  0.7 

.9092 

222 

.29197 

136  23.8 

.7681 

273 

.27349 

83  56.5 

.9085 

223 

.29134 

135  26.2 

.7749 

274 

.27364 

82  52.3 

.9077 

224 

129071 

134  283 

0.7816 

275 

J.  27382 

81  48.2 

0.9068 

225 

.29007 

133  302 

.7881 

276 

.27402 

80  44.0 

.9058 

226 

.28944 

132  32.0 

.7943 

277 

.27424 

79  39.9 

.9046 

227 

.28881 

131  33.6 

.8003 

278 

.27448 

78  35.8 

.9033 

228 

.28819 

130  35.0 

.8061 

279 

.27474 

77  31.7 

.9018 

229 

1.38757 

129  36.2 

0.8118 

280 

1.27502 

76  27.6 

0.9002 

230 

.28696  !   128  37.3 

.8172 

281 

.27532 

75  23.6 

.8985 

231 

.28635 

127  38.2 

.8225 

282 

.27565 

74  19.7 

.8966 

232 

.28574 

126  38.9 

.8275 

283 

.27600 

73  15.8 

.8946 

233 

.28514 

125  39.4 

.8324 

284 

.27637 

72  12.0 

.8925 

234 

1.28455 

124  397 

0.8371 

285 

1.27675 

71  8.3 

0.8902 

235 

.28396 

123  39.8 

.8417 

286 

.27715 

70  4.7 

.8878 

236 

.28338 

122  39.7 

,8481 

287 

.27757 

69  1.2 

.8852 

237 

.28281 

121  39.4 

.8503 

288 

.27801 

67  57.7 

.8825 

!   238 

j 

.28225 

120  389 

.8544 

289 

.27847 

66  54.3 

.8796 

239 

1.28170 

119  38.3 

0.8583 

290 

1.27896 

65  51.0 

0.8766 

240 

.28116 

118  37.5 

.8620 

291 

.27945 

64  47.9 

.8735 

241 

.28063 

117  36.5 

.8656 

292 

.27996 

63  44.9 

.8701 

242 

.28011 

116  353 

.8690 

293 

.28048 

62  42.0 

.8666 

243 

.27961 

115  33.9 

.8723 

294 

.28102 

61  39.1 

.8830 

244 

127913 

114  324 

0.8755 

295 

1.28158 

60  36  3 

0.8592 

245 

.27867 

113  30  8 

.8785 

296 

.28214 

59  33.7 

.8552 

246 

.27822 

1  12  29.0 

.8813 

29  / 

.28271 

58  31.3 

.8510 

247 

.27778 

111  27.1 

.6840 

293 

.28329 

57  29.0 

.8467 

248 

.27736 

110  25.0 

.8866 

299 

.28389 

56  26.8 

.8422 

249 

1.27695 

109  226 

0.8S91 

300 

1.28450 

55  24.7 

0.8375 

250 

.27655 

108  20.1 

.8914 

301 

.2-5512 

54  228 

.8:3243 

251 

.27618 

107  175 

.8935 

302 

.28574 

53  21  0 

.8375 

252 

.275S3 

106  14.8 

.8956 

303 

.28637 

52  19  4 

.8223 

253 

•.27550 

105  120 

.8975 

304 

.287  1 

5!  *8<)       .8168 

254 

1.27519    104  9.0 

0.8993 

305 

1.28765 

50  L6.7 

08111 

GENERAL  TABLES. 


53 


TABLE  XIX.—  The  Quantities  Log.  h,  H  and  Log.  i.—  1850. 

Argument  =  Arg.  I  -j-  d'  -f-  Inequalities  -f-  day  of  year. 

Arg. 

Log.  h. 

H. 

Log.  i. 

Arg. 

Log.  h. 

H. 

Log.  *. 

o   / 

o   / 

306 

1.28829 

49  15.5 

0.8052 

338 

1.30676 

17  54.1 

0.4319 

307 

.28894 

48  14.5 

.7991 

339 

.30714 

16  57.3 

.4094 

308 

.28959 

47  13.6 

.7928 

340 

.30750 

16  0.6 

.3856 

309 

.29025 

46  12.9 

.7862 

341 

.30784 

15  3.9 

.3601 

310 

.29091 

45  12.4 

.7794 

342 

.30816 

14  7.3 

.3330 

311 

1.29157 

44  12.0 

0.7723 

343 

1.30846 

J3  10.8 

0.3039 

312 

.29223 

43  11.7 

.7650 

344 

.30875 

12  14.4 

.2725 

313 

.29289 

42  11.6 

.7575 

345 

.30902 

11  18.0 

,2386 

314 

.29354 

41  11.7 

.7496 

346 

.30927 

10  21.6 

.2016 

315 

.29419 

40  11.9 

.7415 

347 

.30950 

9  25.3 

.1610 

316 

1.29484 

39  12.2 

0.7331 

348 

1.30971 

8  29.0 

0.1161 

317 

.29549 

38  12.7 

.7243 

349 

.30989 

7  32.8 

.0658 

318 

.29613 

3-7  13.3 

.7153 

350 

.31005 

6  36.6 

0.0087 

319 

.29676 

36  14.1 

.7059 

351 

.31019 

5  40.4 

9.9428 

320 

.29738 

35  15.1 

.6961 

352 

.31031 

4  44.3 

.8650 

321 

1.29800 

34  16.2 

0.6860 

353 

1.31041 

3  48.2 

9.7698 

322 

.29861 

33  17.4 

.6755 

354 

.31049 

2  52.1 

.6476 

323 

.29921 

32  18.8 

.6646 

355 

.31054 

1  56.1 

.4767 

324 

.29980 

31  20.3 

.6533 

356 

.31057 

1  0.1 

9.1905 

325 

.30039 

30  22.0 

.64  6 

357 

.31058 

0  4,0 

8.0144 

326 

].  30097 

29  23.7 

0.6293 

358 

1.31057 

359  7.9 

*  9.  1284 

327 

.30153 

28  25.6 

.6166 

359 

.31054 

358  11.8 

.4458 

328 

.30208 

27  27.6 

.6033 

360 

.31049 

357  15.7 

.6271 

329 

.30261 

26  29.8 

.5895  |    361 

.31042 

356  19.6 

.7545 

330 

.30312 

25  32.1 

.5751     362 

.31033 

355  23.4 

.8528 

331 

.30363 

24  34.5 

.5600 

363 

.31022 

354  27.2 

9.9328 

332 

1.30412 

23  37.0 

0.5443 

364 

1.31008 

353  31.0 

n  0.0002 

333 

.30460 

22  39.6 

.5278 

365 

.30992 

352  34.7 

.0585 

334 

.30507 

21  42.3 

.5105 

366 

.30974 

351  38.4 

.1097 

335 

.30552 

20  45.1 

.4924 

367 

.30954 

350  42.1 

.1554 

336 

.30595 

19  48.0 

.4733 

368 

.30931 

349  45.7 

.1966 

337 

1.30636 

18  51.0 

0.4532 

369 

1.30906 

348  49.2 

n  0.2341 

• 

GENERAL  TABLES. 


TABLE  XX.—  For  Annual  Precessions  in  Right  Ascension.—  1850.0. 

log.  Ao  a  =  0.12616,2  +  log.  sin  a  —  0.00000,187  (t  —  1850).  Arg.  =  Star's  Mean  Right  Ascension. 

0»-f- 

Diff. 

0s 

103 

20s 

30s 

40s 

50s 

12h  — 

for  JO8 

s 

s 

8 

s 

s 

s 

Om 

+  97 

0.00000 

0.00097 

0.00195 

0.00292 

0.00389 

0.00486 

59™ 

1 

97 

0583 

0681 

0778 

0875 

0972 

1070 

58 

2 

97 

1167 

1264 

1361 

1458 

1556 

1653 

57 

3 

97 

1750 

1847 

1945 

2042 

2139 

2236 

56 

4 

97 

2334 

2431 

2528 

2625 

2723 

2820 

55 

5 

97 

2917 

3014 

3111 

3208 

3300 

3403 

54 

6 

97 

3500 

3597 

3695 

3792 

3889 

3986 

53 

7 

97 

4083 

4181 

4-278 

4375 

4472 

4569 

52 

8 

97 

4666 

4764 

4861 

4958 

5055 

5152 

51 

9 

97 

5249 

5347 

5444 

5541 

5638 

5735 

50 

10 

-{-7-23 

8.7(5584 

8.77301 

8.78007 

8.78701 

8.79385 

8.80058 

49 

11 

659 

86721 

8J373 

82016 

82650 

83-274 

83889 

48 

12 

603 

84496 

85095 

85685 

86267 

86842 

87409 

47 

13 

556 

87969 

88522 

89067 

89606 

90138 

90664 

46 

14 

516 

91184 

91697 

92204 

92706 

93-201 

93691 

45 

15 

483 

94176 

94655 

95129 

95598 

96062 

96520 

41 

16 

452 

96974 

97424 

97869 

98309 

98743 

99176 

43 

17 

425 

99603 

9.00026 

9.00445 

9.00860 

9.01271 

9.01678 

42 

18 

401 

9.02081 

02480 

02876 

03268 

03657 

04042 

41 

19 

380 

04424 

04802 

05177 

05549 

05918 

06284 

40 

20 

361 

06646 

07005 

07362 

07716 

08066 

08414 

39 

21 

344 

08759 

09101 

09441 

09778 

10112 

10444 

38 

22 

328 

10773 

11100 

1  1425 

11747 

12066 

12383 

37 

23 

314 

12698 

13010 

13321 

13629 

13934 

14238 

36 

24 

301 

14540 

14839 

15136 

15432 

15725 

16016 

35 

25 

289 

16306 

16594 

16879 

17162 

17444 

17724 

34 

26 

277 

18002 

18278 

18553 

188-26 

19097 

19366 

33 

27 

267 

19634 

19900 

20164 

20427 

20688 

20948 

32 

28 

257 

21206 

21462 

21717 

21971 

222-23 

22473 

31 

29 

248 

22722 

22989 

23215 

23460 

23703 

23945 

30 

30 

240 

24186 

24425 

24663 

24900 

25135 

25369 

29 

3L 

232 

25602 

25833 

26063 

2629-2 

26520 

26747 

28 

32 

225 

26972 

27196 

27419 

27641 

27861 

28080 

27 

33 

218 

28299 

28516 

28733 

28948 

29162 

29375 

26 

34 

211 

29586 

29797 

30007 

30216 

304-23 

30630 

25 

35 

205 

30836 

31040 

31244 

31447 

31649 

31849 

24 

36 

200 

32049 

32248 

32446 

32643 

32840 

33035 

23 

37 

194 

33229 

33422 

33615 

33807 

33998 

34188 

22 

38 

189 

34377 

34565 

34753 

34940 

35125 

35310 

21 

39 

184 

35495 

35678 

35861 

36042 

362-23 

36403 

20 

40 

179 

36583 

36762 

36940 

37117 

37294 

37470 

19 

41 

174 

37644 

37818 

37992 

38165 

38337 

38508 

18 

42 

170 

38679 

38849 

39019 

39188 

39356 

39523 

17 

43 

167 

39690 

39856 

40021 

40186 

40350 

40513 

16 

44 

163 

40676 

40838 

41000 

41161 

41321 

41481 

15 

45 

159 

41640 

41798 

41956 

42113 

42270 

424-26 

14 

46 

156 

42582 

4-2737 

42891 

43045 

43198 

43351 

13 

47 

152 

,43503 

43655 

43806 

43956 

44106 

44255 

12 

48 

149 

44404 

44552 

44700 

44847 

44994 

45140 

11 

49 

145 

45286 

45431 

45576 

45720 

45864 

46007 

10 

50 

142 

46150 

46292 

46434 

46575 

46716 

46856 

9 

51 

140 

46996 

47136 

47275 

47413 

47551 

47688 

8 

52 

137 

47825 

47962 

48098 

48-234 

48369 

48504 

7 

53 

134 

48638 

48772 

48905 

49038 

49171 

49303 

6 

54 

132 

49435 

49566 

49697 

49828 

49958 

50087 

5 

55 

129 

50216 

50345 

50474 

50602 

50730 

50857 

4 

56 

127 

50984 

'  51110 

51236 

5136-2 

51487 

51612 

3 

57 

125 

51737 

51861 

51985 

5'2109 

52232 

52354 

2 

58 

122 

52476 

5-2598 

527-20 

52841 

52962 

53082 

1 

59 

+120 

9.53202 

9.53322 

9.53442 

9.53561 

9.53080 

9.53798 

0 

GO3 

50s 

40s 

30s 

20s 

10s 

"h  +  1 
23[1  —  ! 

Annual  Precession,  A  a  --  3.07177  -f  Ao  a  tan  6  •  J-  0.00001,9  (t  —  1850). 


GENERAL  TABLES. 


55 


TABLE  XX.—  Annual  Precessions  in  Declination.—  185(KO» 

A  <J  =  20.'0564  cos  a  —  0.0000,86  cos  a  (t  —  1850).  Arg.  =  Star's  Mean  Right  Ascension. 

Tar.  in 

Ob-f 

Diff. 

0s 

10s 

20s 

30" 

40s      50s 

100  yrs. 

2h  — 

for  10s 

1 

—  (K0086 

Cm 

0 

20".  0564 

20.'0564 

20.'0564 

20.'0563 

20"0563 

20.'0563 

59m 

86 

1 

0 

0562 

0562 

0561 

0560 

0559     0558 

58 

83 

3 

—  1 

0556 

0555 

0554 

0552 

0550     0549 

57 

86 

3 

2 

0547 

0545 

0543 

0541 

0538 

0536 

50 

86 

4 

2 

0533 

0531 

0528 

0525 

0522 

0519 

55 

86 

5 

3 

0516 

0513 

0510 

0506 

0503     0499 

54 

86 

6 

4 

0495 

0491 

0487 

0483 

0479     0475 

53 

86 

7 

4 

0470 

0466 

0461 

0457 

0452 

0447 

52 

88 

8 

5 

0442 

0437 

0432 

0426 

0421 

0415 

51 

86 

9 

6 

0409 

040  i 

0398 

0392 

0386 

0379 

50 

86 

10 

6 

0373 

0367 

0360 

0353 

0347 

0340 

49 

86 

11 

7 

0333 

0326 

0319 

0311 

0304 

0297 

48 

86 

12 

8 

0289 

0281 

0274 

0266 

0258 

0^50 

47 

86 

13 

8 

0241 

0233 

0225 

0216 

0207 

0199 

46 

86 

14 

9 

0190 

0181 

0172 

0163 

0153 

0144 

45 

86 

15 

10 

0135 

0125 

0115 

0105 

0095 

0085 

44 

86 

16 

10 

0075 

0065 

20.0055 

20.0044 

20.0034 

20.0023 

43 

86 

17 

11 

20.0012 

20.0002 

19.9991 

19.9980 

19.9968 

19.9957 

42 

86 

18 

12 

19.9946 

19.9934 

9923 

9911 

9899 

9887 

41 

86 

19 

12 

9875 

9863 

9851 

9838 

9826 

9813 

40 

86 

20 

13 

9801 

9788 

9775 

9762 

9749 

9736 

39 

86 

21 

13 

9723 

9709 

9696 

9682 

9663 

9H55 

38 

86 

22 

14 

9641 

9627 

9612 

9598 

9584 

9569 

37 

86 

23 

15 

9555 

9540 

9525 

9511 

9496 

9481 

36 

86 

24 

15 

9465 

9450 

9435 

9419 

9403 

9388 

35 

85 

25 

16 

9372 

9356 

9340 

9324 

9308 

9291 

34 

85 

26 

16 

9275 

9258 

9242 

9225 

9208 

9191 

33 

85 

27 

17 

9174 

9157 

9139 

9122 

9104 

9087 

32 

85 

28 

18 

9069 

9051 

9033 

9015 

8997 

8979 

31 

85 

29 

18 

8960 

8942 

8923 

8905 

8886 

8867 

30 

85 

30 

19 

8848 

8829 

8810 

8791 

8771 

8752 

29 

85 

31 

20 

8732 

8712 

8692 

8672 

8652 

8632 

28 

85 

32 

20 

8612 

8592 

8571 

8551 

8530 

8509 

27 

85 

33 

21 

8488 

8467 

8446 

8425 

8404 

8383 

26 

85 

34 

22 

8361 

8339 

8318 

8296 

8274 

8252 

25 

85 

35 

22 

8230 

8207 

8185 

8163 

8140 

8117 

24 

85 

36 

23 

8095 

8072 

8049 

8026 

8003 

7979 

23 

85 

37 

23 

7956 

7933 

7909 

7885 

7861 

*  7837 

2-2 

85 

38 

24 

7813 

7789 

7765 

7741 

7716 

7692 

21 

85 

39 

25 

7667 

7642 

7617 

7592 

7567 

7542 

20 

85 

40 

25 

7517 

7492 

7466 

7440 

7415 

73S9 

19 

85 

41 

26 

7363 

7337 

7311 

7285 

7258 

7-232 

18 

85 

42 

26 

7205 

7179 

7152 

7125 

7098 

7071 

17 

84 

43 

27 

7044 

7017 

6990 

6962 

6935 

6907 

16 

84 

44 

28 

6879 

6851 

6823 

6795 

6767 

6739 

15 

84 

45 

28 

6710 

6682 

6653 

6624 

6596 

6567 

14 

84 

46 

29 

6538 

6509 

6479 

6450 

6421 

6391 

13 

84 

47 

30 

6361 

6332 

6302 

6272 

6242 

6212 

12 

84 

48 

30 

6181 

6151 

6120 

6090 

6C59 

6028 

11 

84 

49 

31 

5997 

5966 

5935 

5904 

5872 

5841 

10 

84 

50 

31 

5810 

5778 

5746 

5715 

5683 

5651 

9 

84 

51 

32 

5619 

5586 

5554 

5522 

5489 

5456 

8 

84 

52 

33 

5424 

5391 

5358 

53-25 

5291 

5258 

7 

84 

53 

33 

5225 

5191 

5158 

5124 

5090 

5056 

6 

84 

54 

34 

5022 

4968 

4954 

4920 

4885 

4851 

5 

84 

55 

35 

4816 

4782 

4747 

4712 

4677 

4642 

4 

83 

56 

35 

4606 

4571 

4536 

4500 

44(34 

4429 

3 

83 

57 

36 

4393 

4357 

4321 

4285 

4248 

4212 

2 

83 

58 

36 

4176 

4139 

4103 

4066 

4029 

3992 

1 

—0.0083   59 

—37 

19.3955 

19.3917 

19.3880 

19.3843 

19.3805 

19.3768 

0 

60" 

50s 

40s 

30s 

20s 

1C3 

llb- 

i 

23  -H 

56 


GENERAL  TABLES. 


TABLE  XX.—  For  Annual  Precessions  in  Right  Ascension.—  1850.0. 

lojr.  Ao  «  =  0.12610,2  -f  log.  sin  a  —  0.00000,187  (t  —  1850).  Arg.  =  Star's  Mean  Right  Ascension. 

lh  + 

|<>h  

Diff. 
for  10s 

0s 

10s 

20s 

30s 

40s 

50 

OP 

+118 

9.53916 

9.54034 

9.54151 

9.54268 

9.54385 

9.54501 

59^ 

1 

116 

54617 

54733 

54848 

54963 

55078 

55192 

58 

2 

114 

55306 

55420 

55533 

55646 

55759 

55872 

57 

3 

112 

55984 

56095 

56207 

56318 

56429 

56540 

56 

4 

110 

56650 

56760 

56870 

56979 

57088 

57197 

55 

5 

108 

57306 

57414 

57522 

57629 

57737 

57844 

54 

6 

106 

57950 

58057 

58163 

58269 

58375 

58480 

53 

7 

105 

58585 

58690 

58794 

58899 

59003 

59106 

52 

8 

104 

59210 

59313 

59416 

59518 

59621 

59723 

51 

9 

102 

59825 

59926 

60028 

60129 

60230 

60330 

50 

10 

100 

60430 

60530 

60630 

60730 

60829 

60928 

49 

11 

98 

61027 

61125 

61224 

61322 

61420 

61517 

48 

12 

97 

61614 

61711 

61808 

61905 

62001 

62097 

47 

J3 

96 

62193 

62289 

62384 

62480 

62575 

62669 

46 

14 

95 

62764 

62858 

62952 

63046 

63140 

63233 

45 

15 

93 

63326 

63419 

63512 

63604 

63696 

63789 

44 

16 

91 

63880 

63972 

64C63 

64155 

64246 

64336 

43 

17 

90 

64427 

64517 

64607 

64697 

64787 

64876 

42 

18 

89 

64966 

65055 

65144 

65232 

65321 

65409 

41 

19 

88 

65497 

65585 

65673 

65760 

65847 

65934 

40 

20 

87 

66021 

66108 

66194 

66281 

66367 

66453 

39 

21 

85 

66538 

66624 

66709 

66794 

66879 

66964 

38 

22 

84 

67049 

67133 

67217 

67301 

67385 

67469 

37 

23 

83 

67552 

67635 

67718 

67801 

67884 

67967 

36 

24 

82 

68049 

68131 

68213 

68295 

68377 

68458 

35 

25 

81 

68540 

68621 

68702 

68782 

68863 

68943 

34 

26 

80 

69024 

69104 

69184 

69263 

69343 

69422 

33 

27 

79 

69502 

69581 

69660 

69738 

69817 

69895 

32 

28 

78 

69974 

70052 

70130 

70207 

70285 

70363 

31 

29 

77 

70440 

70517 

70594 

70671 

70747 

70824 

30 

30 

76 

70900 

70976 

71052 

71128 

71204 

71279 

29 

31 

75 

71355 

71430 

71505 

71580 

71655 

71729 

28 

32 

74 

71804 

71878 

71952 

72027 

72100 

72174 

27 

33 

73 

72248 

72321 

72394 

72467 

72541 

72613 

26 

34 

73 

72686 

72759 

72831 

72903 

72976 

73048 

25 

35 

72 

73119 

73191 

73263 

73334 

73405 

73476 

24 

36 

71 

73547 

73618 

73689 

73760 

73830 

73900 

23 

37 

70 

73971 

74C41 

74111 

74180 

74250 

74320 

22 

38 

69 

74389 

74458 

74527 

74596 

74665 

74734 

21 

39 

+  68 

74802 

74871 

74939 

75007 

75075 

75143 

20 

40 

+677 

752110 

752787 

753462 

754136 

754809 

755480 

19 

4J 

670 

756151 

756820 

757488 

758154 

758819 

759483 

18 

42 

663 

760146 

760808 

761468 

762127 

762785 

763441 

17 

43 

655 

764097 

764751 

765404 

766056 

766706 

767356 

16 

44 

648 

768004 

768651 

769296 

769941 

770584 

771227 

15 

45 

640 

771868 

772507 

773146 

773784 

774420 

775055 

14 

46 

634 

775689 

776322 

776954 

777584 

778214 

778842 

13 

47 

627 

779469 

780095 

780720 

781344 

781967 

782588 

12 

48 

620 

783209 

783828 

784446 

785063 

785679 

786294 

11 

49 

613 

786908 

787520 

788132 

788742 

789352 

789960 

10 

50 

607 

790567 

791174 

791779 

792383 

792986 

793587 

9 

51 

601 

794188 

794788 

795387 

795984 

796581 

797177 

8 

52 

594 

797771 

798365 

798957 

799548 

800139 

800728 

7 

53 

588 

801316 

801904 

802490 

803075 

803659 

804242 

6 

54 

582 

804825 

805406 

805986 

806565 

807143 

807721 

5 

55 

576 

808297 

808872 

809446 

810019 

810591 

811163 

4 

56 

570 

811733 

812302 

812871 

813438 

814004 

814570 

3 

57 

564 

815134 

815698 

816260 

816822 

817382 

817942 

2 

58 

<v  8 

818501 

819058 

819615 

820171 

820726 

821280 

1 

59 

+r,,3 

9.821833 

9.822385 

9.822936 

9.823487 

9.824036 

9.824584 

0 

60* 

CO8 

40s 

30s 

20s 

10s 

10h  + 
22h  — 

Annual  Precession,  A  a  =  3.07177  +  Ac,  a  t<  n  6  -f-  0.00001,9  (t  —  1850). 


GENERAL  TABLES. 


57 


TABLE  XX.—  Annual  Precessions  in  Declination.—  1850.0. 

A  <5  =  20.'0564  cos  a  —  o'.0000,86  cos  a  (t  —  1850).  Arg.  =  Star's  Mean  Right  Ascension. 

Yar.  in 

lb  -f  Diff.     QS 

10s      208 

303 

40s 

50» 

100  yrs. 

13h  —  for  10s 

—  o!o083 

0- 

—158 

19.3730 

1&3692 

19.3554 

J9.'3S16 

19'!  3578 

1SL3540 

59m 

83 

1 

33 

3502 

3463 

3425 

3336 

3347 

3309 

58 

83 

2 

39 

3270 

3231 

3191 

3152 

3113 

3073 

57 

83 

3 

40 

3034 

2994 

2955 

2915 

2875 

2835 

56 

83 

4 

40 

2794 

2754 

2714 

2673 

2633 

2592 

55 

83 

5 

41 

2551 

2511 

2470 

2429 

2337 

2346 

54 

82 

6 

42 

23U5 

2263 

2222 

2180 

2138 

2096 

53 

82 

7 

42 

2054 

2012 

1970 

1923 

1885 

1843 

52 

82 

8 

43 

1800 

1758 

1715 

1672 

1629 

1586 

51 

82 

9 

43 

1543 

1499 

1456 

1412 

1369 

1325 

50 

82 

10 

44 

1281 

1237 

1193 

1149 

1105 

1061 

49 

82 

11 

44 

1016 

0972 

0927 

0882 

0838 

0793 

48 

8-1 

12 

45 

0748 

0703 

0657 

0612 

0567 

0521 

47 

82 

13 

45 

0475 

04?0 

0384 

0338 

0292 

19.0246 

46 

82 

14 

46 

19.0200 

19.0153 

19.0107 

19.0060 

19.0013 

18.9967 

45 

81 

15 

47 

18.9920 

18.9873 

18.9826 

18.9779 

18.9732 

9684 

44 

81 

16 

48 

96:37 

9589 

9542 

9494 

9446 

9398 

43 

81 

17 

43 

9350 

9302 

9254 

9205 

9157 

9109 

42 

81 

18 

49 

9060 

9011 

8962 

8913 

8864 

8815 

41 

81 

19 

49 

8766 

8717 

8667 

8618 

8568 

8518 

40 

81 

20 

49 

8469 

8419 

8368 

8318 

8268 

8218 

39 

81 

21 

50 

8167 

8117 

8066 

8016 

7965 

7914 

38 

81 

22 

51 

7863 

7812 

7760 

7709 

7658 

7606 

37 

80 

23 

51 

7554 

7503 

7451 

7399 

7347 

7295 

36 

80 

24 

52 

7243 

7190 

7138 

7085 

7033 

6980 

35 

80 

25 

53 

6927 

6374 

6821 

6768 

6715 

6662 

34 

80 

26 

53 

6608 

6555 

6501 

6447 

6394 

6340 

33 

80 

27 

54 

6286 

6232 

6178 

6123 

6069 

6014 

32 

80 

28 

55 

5960 

5905 

5850 

5795 

5740 

5685 

31 

80 

29 

55 

5630 

5575 

5519 

5464 

5408 

5353 

30 

79 

30 

56 

5297 

5241 

5185 

5129 

5073 

5017 

29 

79 

31 

56 

4960 

4904 

4847 

4791 

4734 

4677 

28 

79 

32 

57 

4620 

4563 

4506 

4449 

4391 

4334 

27 

79 

33 

58 

4276 

4219 

4161 

4103 

4045 

3987 

26 

79 

34 

58 

3929 

3371 

3813 

3754 

3696 

3637 

25 

79 

35 

59 

3578 

3520 

3461 

3402 

3343 

3284 

24 

79 

36 

59 

3224 

3165 

3106 

3046 

2936 

2927 

23 

78 

37 

60 

2867 

2807 

2747 

2636 

2626 

2566 

22 

78 

33 

60 

2505 

2445 

2384 

2323 

2263 

2202 

21 

76 

39 

61 

2141 

2080 

2018 

1957 

1896 

1834 

20 

78 

40 

61 

1773 

1711 

1649 

1587 

1525 

1463 

19 

78 

41 

62 

1401 

1339 

1276 

1214 

1151 

1089 

18 

78 

42 

63 

1026 

0963 

0900 

0837 

0774 

0711 

17 

77 

43 

64 

0648 

0584 

0521 

0457 

0393 

18.0330 

16 

77 

44 

64 

18.0266 

18.0202 

18.0138 

18.0073 

18.0009 

17.9945 

15 

77 

45 

65 

17.9880 

17.9816 

17.9751 

17.9686 

17.9622 

9557 

14 

77 

46 

65 

9492 

9427 

9361 

9296 

9230 

9165 

13 

77 

47 

66 

9099 

9034 

8968 

8902 

8836 

8770 

12 

77 

48 

65 

8704 

8638 

8571 

8505 

8433 

8372 

11 

76 

49 

67 

8305 

8238 

8171 

8104 

8037 

7970 

10 

76 

50 

67 

7902 

7835 

7768 

7700 

7632 

7565 

9 

76 

51 

63 

7497 

7429 

7361 

7292 

7224 

7156 

8 

76 

52 

69 

7087 

7019 

6950 

6382 

6813 

6744 

7 

76 

53 

69 

6675 

6606 

6537 

6467 

6398 

6329 

6 

76 

54 

70 

C259 

6189 

6120 

6050 

5930 

5910 

5 

75 

55 

70 

5340 

5770 

5699 

5G29 

5558 

5483 

4 

75 

56 

71 

5417 

5347 

5276 

5205 

5134 

5063 

3 

75 

57 

71 

4991 

4920 

4849 

4777 

4706 

4634 

2 

75 

58 

72 

4562 

4490 

4418 

4316 

4274     4202    1 

—0.0075 

59 

—72 

17.4129 

17.4057 

17.39*5 

17.3912 

17.3839   17.3766    0 

60s 

503 

403 

30s 

20*      .0-    ^ 

58 


GENERAL  TABLES. 


TABLE  XX.—  For  Annual  Precessions  in  Right  Ascension.—  1850.0. 

log.  Ao  a  —  0.12616,2  +  log.  sin  a  —  0.00000,187  (t  —  1850).  Arg.  =  Star's  Mean  Right  Ascension. 

2*  + 

I4h_ 

Diff. 

for  10s 

0« 

10s 

20s 

30s 

40s 

50s 

Qm 

+547 

9.825132 

9.825678 

9.826224 

9.826769 

9.827312 

9.827855 

59m 

1 

542 

828397 

828939 

829479 

830018 

830556 

831094 

58 

2 

536 

831631 

832166 

832701 

833235 

833768 

834300 

57 

3 

531 

834832 

835362 

835892 

836420 

836948 

837475 

56 

4 

526 

838001 

838526 

839051 

839574 

840097 

840618 

55 

5 

521 

841139 

841659 

842179 

842697 

843214 

843731 

54 

6 

516 

844247 

844762 

845276 

845789 

846302 

846813 

53 

7 

511 

847324 

847834 

848343 

848851 

849359 

849886 

52 

8 

505 

850371 

850876 

851381 

851884 

852387 

852888 

51 

9 

500 

853389 

853889 

854389 

854887 

855385 

855882 

50 

10 

496 

856378 

856874 

857368 

857862 

858355 

858847 

49 

11 

491 

859338 

859829 

860319 

860808 

861296 

fe'61784 

48 

12 

486 

862270 

862756 

863242 

863726 

864210 

864693 

47 

13 

482 

865175 

865656 

8G6137 

866616 

867095 

867574 

46 

14 

477 

868051 

8685^8 

869004 

869479 

869954 

870428 

45 

15 

472 

870901 

871373 

871844 

872315 

872785 

873255 

44 

16 

468 

873723 

874191 

874658 

875125 

875590 

876055 

43 

17 

464 

876520 

876083 

877446 

877908 

878369 

878830 

42 

18 

460 

879290 

889749 

880207 

880665 

881122 

881579 

41 

19 

455 

882034 

882489 

882943 

883397 

883850 

884302 

40 

20 

451 

884753 

885204 

885654 

886103 

886552 

887000 

39 

21 

447 

887447 

887893 

888339 

888784 

889229 

889673 

38 

22 

443 

890116 

890558 

891000 

891441 

891881 

892321 

37 

23 

439 

892760 

893198 

893636 

894073 

894510 

894945 

36 

24 

435 

895380 

895815 

896249 

896682 

897114 

897546 

35 

25 

431 

397977 

898407 

898837 

899266 

899694 

900122 

34 

26 

427 

900549 

900976 

901402 

901827 

902251 

902675 

33 

27 

423 

903099 

903521 

903943 

904365 

904785 

9U5205 

32 

28 

420 

905625 

906044 

906462 

906S79 

907296 

907712 

31 

29 

416 

908128 

908543 

908958 

909371 

909784 

910197 

30 

30 

412 

910609 

911020 

911431 

911841 

912250 

912659 

29 

31 

408 

913067 

913475 

913882 

914288 

914694 

915099 

28 

32 

405 

915504 

915908 

916311 

916714 

917116 

917517 

27 

33 

401 

917918 

918319 

918718 

919117 

919516 

919914 

26 

34 

397 

920311 

920708 

921104 

921500 

921895 

922289 

25 

35 

394 

922683 

923076 

923469 

923861 

924252 

924643 

24 

36 

390 

925033 

925423 

925812 

926201 

926589 

926976 

23 

37 

387 

927363 

927749 

928135 

928520 

928905 

929289 

22 

38 

383 

929672 

930055 

930437 

930819 

931200 

931581 

21 

39 

380 

931961 

932340 

932719 

933097 

933475 

933852 

20 

40 

377 

934229 

934605 

934981 

935356 

935730 

938104 

19 

41 

373 

936477 

936850 

937222 

937594 

937966 

938336 

18 

42 

370 

938706 

939076 

939445 

939813 

940181 

940548 

17 

43  • 

367 

940915 

941281 

941647 

942012 

942377 

942741 

16 

44 

364 

943105 

943468 

943830 

944192 

944554 

944915 

15 

45 

360 

945275 

945635 

945994 

946353 

946711 

947069 

14 

46 

357 

947426 

947783 

948139 

948495 

948850 

949205 

13 

47 

354 

949559 

949912 

950265 

950618 

950970 

951322 

12 

48 

351 

951673 

952023 

952373 

952723 

953072 

953420 

11 

49 

348 

9537C3 

954115 

954462 

954809 

955155 

955500 

10 

50 

345 

955845 

956189 

956533 

956877 

957220 

957562 

9 

51 

342 

957904 

958:245 

958586 

958927 

959267 

95961)6 

8 

52 

339 

959945 

960283 

960621 

960959 

961296 

961632 

7 

53 

336 

961968 

962304 

962639 

982973 

963307 

963641 

6 

54 

333 

963974 

964307 

964639 

984970 

985301 

965632 

5 

55 

330 

965962 

966292 

966621 

966950 

987278 

9(57806 

4 

56 

327 

967933 

958260 

968586 

968912 

969237 

989562 

3 

57 

325 

969887 

970211 

970534 

970857 

971180 

971502 

2 

58 

322 

971824 

9W145 

972465 

972785 

973105 

973424 

1 

59 

+319 

9.973743 

9.974062 

9.974380 

9.974697 

9.975014 

9.975331 

0 

60" 

50s 

40s 

30s 

20s 

10s 

9"  + 

21h  — 

Annual  Precession,  A  a  —  3.07177  +  Ao  a  tan  6  +  0.00001,9  (t  —  1850). 


GENERAL  TABLES. 


59 


TABLE  XX.—  Annual  Precessions  in  Declination.—  1850.0. 

A  6  =  20.'0564  cos  a  —  o'.'oOOO,86  cos  a  (t  —  1850).  Arg.  =  Star's  Mean  Eight  Ascension. 

Var.  in    2h  -f-   Diff. 

0s 

10s 

20s 

30s 

40s 

50s 

100  yrs.   14h  — 

for  10" 

—  o!bo74 

Om 

—  73 

17!  3693 

17.'3620 

17.'3547 

17.'3474 

17"3401 

17.'3328 

59m 

74 

1 

74 

3254 

3181 

3107 

3033 

2960 

2886 

58 

74 

2 

74 

2812 

2738 

2664 

2539 

2515 

2440 

57 

74 

3 

75 

2366 

2291 

2217 

2142 

2067 

1992 

56 

74 

4 

75 

1917 

1842 

1766 

1691 

1616 

1540 

55 

74 

5 

76 

1465 

1389 

1313 

1237 

1161 

1085 

54 

73 

6 

76 

1009 

0933 

0856 

0780 

0703 

0627 

53 

73 

7 

77 

0550 

0473 

17.0396 

17.0319 

17.0242 

17.0165 

52 

73 

8 

77 

17.0088 

17.0011 

16.9933 

16.9856 

16.9778 

16.9700 

51 

73 

9 

78 

16.9623 

16.9545 

9467 

9389 

9311 

9232 

50 

73 

10 

78 

9154 

9075 

8997 

8918 

8840 

8761 

49 

72 

11 

79 

8682 

8603 

8524 

8445 

8366 

8286 

48 

72 

12 

79 

8207 

8127 

8048 

7968 

7889 

7809 

47 

72 

13 

80 

7729 

7649 

7569 

7489 

7408 

7328 

46 

72 

14 

80 

7248 

7167 

7086 

7006 

6925 

6844 

45 

72 

15 

81 

6763 

6682 

6601 

6519 

6438 

6357 

44 

71 

16 

82 

6275 

6193 

6112 

6030 

5948 

5866 

43 

71 

17 

82 

5784 

5702 

5620 

5537 

5455 

5373 

42 

71 

18 

83 

5290 

5207 

5125 

5042 

4959 

4876 

41 

71 

19 

83 

4793 

4710 

4626 

4543 

4460 

4376 

40 

70 

20 

84 

4292 

4209 

4125 

4041 

3957 

3873 

39 

70 

21 

84 

3789 

3705 

3620 

3536 

3452 

3367 

38 

70 

22 

85 

3282 

3198 

3113 

3028 

2943 

2858 

37 

70 

23 

85 

2772 

2687 

2602 

2516 

2431 

2346 

36 

70 

24 

86 

2260 

2174 

2088 

2002 

1916 

1830 

35 

69 

25 

86 

1744 

1657 

1571 

1485 

1398 

1311 

34 

G9 

26 

87 

1225 

1138 

1051 

0964 

0877 

0790 

33 

69 

27 

87 

0703 

0615 

0528 

16.0440 

16.0:353 

16.0265 

32 

69 

28 

88 

16.0177 

16.0090 

16.0002 

15.9914 

159826 

15.9738 

31 

68 

29 

88 

15.9649 

15.9561 

15.9473 

9384 

9296 

9207 

30 

68 

30 

89 

9118 

9029 

8940 

8851 

8762 

8673 

29 

68 

31 

89 

8584 

8495 

8405 

8316 

8226 

8136 

28 

68 

32 

90 

8047 

7957 

7867 

7777 

7667 

7597 

27 

68 

33 

90 

7506 

7416 

7325 

7235 

7144 

7054 

26 

67 

34 

91 

6963 

6872 

6781 

6690 

6599 

6508 

25 

67 

35 

91 

6417 

6325 

6234 

6142 

6051 

5959 

24 

67 

36 

92 

5868 

5776 

5684 

5592 

5500 

5408 

23 

67 

37 

92 

5315 

5223 

5131 

5038 

4946 

4853 

-  22 

66 

38 

93 

4760 

4667 

4574 

4481 

4388 

4295 

21 

66 

39 

93 

4-202 

4109 

4015 

3922 

3828 

3735 

20 

66 

40 

94 

3641 

3547 

3453 

3359 

3265 

3171 

19 

66 

41 

94 

3077 

2983 

2888 

2794 

2699 

2605 

18 

65 

42 

95 

2510 

2415 

2320 

2226 

2131 

2035 

17 

65 

43 

95 

1940 

1845 

1750 

1654 

1559 

1463- 

16 

65 

44 

96 

1368 

1272 

1176 

1080 

0°84 

0888 

15 

65 

45 

96 

0792 

0696 

0599 

15.0503 

15.0407 

15.0310 

14 

64 

46 

97 

15.0214 

15.0117 

15.0020 

14  9923 

14.9826 

14.9729 

13 

64 

47 

97 

14.9632 

14.95:35 

14.9438 

9341 

9243 

9146 

12 

64 

48 

93 

9048 

8951 

8353 

8755 

8657 

8559 

11 

64 

49 

98 

8461 

8363 

8265 

8167 

8068 

7970 

10 

63 

50 

98 

7871 

7773 

7674 

7575 

7477 

7378 

9 

63 

51 

99 

7279 

7179 

7080 

6981 

6882 

6783 

8 

63 

52 

99 

6683 

6584 

6484 

6384 

6885 

6185 

7 

63 

53 

JOO 

6085 

5985 

5885 

5785 

5684 

5534 

6 

62 

54 

100 

5484 

5384 

5283 

5182 

5082 

4931 

5 

62 

55 

101 

4880 

4779 

4678 

4577 

4476 

4375 

4 

62 

56 

101 

4274 

4172 

4071 

3969 

3868 

3768 

3 

62 

57 

102 

3664 

3563 

346  J 

3359 

3257 

3155 

2 

61 

58 

102 

3052 

2950 

2848 

2745 

2643 

2540 

1 

—  .C061 

59 

—103 

14.2438 

14.2335 

14.2232 

14.2129 

14.2026 

14  192:} 

0 

60a 

50* 

40s 

30s 

20s 

10s 

9^-  i 

1        1 

| 

2iu-h  i 

60 


GENERAL  TABLES. 


TABLE  XX.—  For  Annual  Precessions  in  Right  Ascension.—  1850.0. 

log.  Ao  a  —  0.12616,2  +  log.  sin  a  —  0.00000,187  (t  —  1850).  Arg.  =  Star's  Mean  Right  Ascension. 

3*-f 

ir>t  — 

Diff. 

for  10s 

0s 

10s 

20s 

30s 

40s 

50* 

Om 

-f-315 

9.975647 

9.975962 

9.976277 

9.976592 

9.976906 

9.977220 

59» 

i 

313 

977533 

977846 

978159 

978471 

978782 

979093 

58 

2 

311 

979404 

979714 

980023 

980333 

980642 

980950 

57 

3 

308 

981258 

981565 

981872 

982179 

982485 

982791 

56 

4 

305 

983096 

983401 

983705 

984009 

984312 

984615 

55 

5 

302 

984918 

985220 

985522 

985823 

986124 

986424 

54 

6 

300 

986724 

987023 

987322 

987621 

987919 

988217 

53 

7 

297 

988514 

988811 

989108 

989404 

989699 

989994 

52 

8 

295 

990289 

900583 

990877 

991171 

991464 

991756 

51 

9 

292 

992048 

992340 

992632 

992923 

993213 

993503 

50 

10 

290 

993793 

994082 

994371 

994659 

994947 

995234 

49 

11 

287 

995521 

995808 

996094 

996380 

996666 

996951 

48 

12 

284 

997235 

997519 

997803 

998086 

9.998369 

9.998652 

47 

13 

282 

9.998934 

9.999-216 

9.999497 

9.999778 

0.000058 

0.000338 

46 

14 

280 

0.000618 

0.000697 

0.001176 

0.001454 

001732 

002010 

45 

15 

277 

002287 

002564 

002840 

003116 

003392 

003667 

44 

16 

275 

003942 

004216 

004490 

004763 

005036 

005309 

43 

17 

273 

005582 

005854 

006125 

006396 

006667 

006937 

4-2 

18 

270 

007207 

007477 

007746 

008015 

008-283 

OU8551 

41   -1 

19 

268 

008819 

009086 

009353 

009619 

009885 

010151 

40 

20 

265 

010416 

010681 

010945 

011209 

011473 

OJ  1736 

39 

21 

263 

011999 

012261 

012523 

012785 

013046 

013307 

38 

22 

261 

013568 

013828 

014088 

014347 

014606 

014865 

37 

23 

258 

015123 

015381 

015638 

015895 

016152 

016408 

36 

24 

256 

016664 

016920 

017175 

017430 

017684 

017938 

35 

25 

254 

018192 

018445 

018698 

018951 

019203 

019455 

34 

26 

251 

019706 

019957 

020208 

020458 

020708 

020958 

33 

27 

249 

021207 

021456 

021704 

021952 

022200 

022447 

32 

28 

247 

022694 

022940 

023186 

02343-2 

023678 

023923 

31 

29 

245 

024168 

024412 

024656 

024900 

025143 

0-25386 

30 

30 

242 

025628 

025870 

026112 

026354 

026595 

026836 

29 

31 

240 

027076 

027316 

027656 

027795 

028034 

028272 

28 

32 

238 

028510 

028748 

028986 

029223 

029459 

029698 

27 

33 

236 

029932 

030168 

030403 

030638 

030872 

031106 

26 

34 

234 

031340 

031574 

031807 

032040 

032272 

032504 

25 

35 

232 

032736 

032968 

033199 

033429 

033660 

033890 

24 

36 

230 

034119 

034349 

034578 

034806 

035034 

03526-2 

23 

37 

228 

035490 

035717 

035944 

036170 

036396 

0366-22 

22 

38 

226 

036848 

037073 

037298 

03752-2 

037746 

037970 

21 

39 

223 

038193 

038416 

038639 

038861 

039083 

039305 

20 

40 

221 

039526 

039747 

039968 

040188 

040408 

040628 

19 

41 

219 

040847 

041066 

041285 

041503 

041721 

041938 

18 

42 

217 

042155 

042372 

042589 

042805 

043021 

043-237 

17 

43 

215 

043452 

043667 

043881 

044095 

044309 

044523 

16 

44 

213 

044736 

044949 

045161 

045373 

045585 

045797 

15 

45 

211 

046008 

046219 

046430 

046640 

046850 

047059 

14 

46 

209 

047268 

047477 

047686 

047894 

048102 

048309 

13 

47 

207 

048517 

048724 

048930 

049136 

049342 

049548 

12 

48 

205 

049753 

049958 

050163 

050367 

050571 

050775 

11 

49 

203 

050978 

051181 

051384 

051586 

051788 

051990 

10 

50 

201 

052191 

052392 

052593 

052793 

052993 

053193 

9 

51 

199 

053392 

053591 

053790 

053989 

054187 

0543S5 

8 

52 

197 

054582 

054779 

054976 

055173 

055369 

055565 

7 

53 

196 

055761 

055956 

056151 

056345 

056540 

056734 

6 

54 

194 

056928 

057121 

057314 

057507 

057699 

057891 

5 

55 

192 

058083 

058275 

058466 

058657 

058847 

059037 

4 

56 

190 

059227 

059417 

059606 

059795 

059984 

G6017-2 

3 

57 

188 

060360 

060548 

060736 

0609-23 

061109 

061296 

2 

58 

186 

061482 

061668 

061854 

062039 

062224 

062408 

1 

59 

-1-184 

0.062593 

0.062777 

0.062961 

0.063144 

0.063327 

0.063510 

0 

60s 

50" 

406 

30s 

20s 

10s 

8"  + 
20h  — 

Annual  Precession,  A  a  —  3.07177  +  Ao  a  tan  6  -f  0.00001,9  (t  —  1850). 


GENERAL  TABLES. 


Gl 


TABLE  IX.—  Annual  Precessions  in  Declination.—  1850.0. 

A  <J  =  20.0564  cos  a  —  o'.0000,86  cos  a  (t  —  1850).  Arg.  =  Star's  Mean  Right  Ascension. 

Var.  in 

3»  + 

Diff. 

0s 

10" 

20s 

30" 

40" 

50s 

100  yrs. 

15h  — 

for  10s 

—03)061 

Om 

—103 

14".  1820 

14.'  1717 

14.'l614 

14.'  1510 

14.'l407 

14.'  1304 

59m 

61 

1 

104 

1200 

1096 

0993 

0889 

0785 

0681 

58 

60 

2 

104 

14.0577 

14.0473 

14.0369 

14.0265 

14.0160 

14.0056 

57 

60 

3 

104 

13.9952 

13.9847 

13.9743 

13.9638 

13.9533 

13.9428 

56 

60 

4 

105 

9323 

9218 

9113 

9008 

8903 

8798 

55 

59 

5 

106 

8693 

8587 

8482 

8376 

8271 

8165 

54 

59 

6 

106 

8059 

7953 

7847 

7741 

76:55 

7529 

53 

59 

7 

106 

7423 

7317 

7210 

7104 

6998 

6391 

52 

59 

8 

107 

6784 

6678 

6571 

6464 

6357 

6250 

51 

58 

9 

107 

6143 

6036 

5929 

5821 

5714 

5607 

50 

58 

10 

108 

5499 

5392 

5284 

5176 

5068 

4961 

49 

58 

11 

108 

4853 

4745 

4636 

4528 

4420 

4312 

48 

58 

12 

108 

4204 

4095 

3987 

3878 

3769 

3661 

47  , 

57 

13 

109 

3552 

3443 

3334 

3225 

3116 

3007 

46 

57 

14 

109 

2898 

2788 

2679 

2570 

2460 

2351 

45 

57 

15 

110 

2241 

2131 

2021 

1912 

1802 

1692 

44 

56 

16 

110 

1582 

1472 

1361 

1251 

1141 

1031 

43 

56 

17 

111 

0920 

0810 

0699 

13.0588 

13.0478 

13.0367 

42 

56 

18 

111 

13.0256 

13.0145 

13.0034 

12.9923 

12.9312 

12.9700 

41 

56 

19 

111 

12.9589 

12.9478 

12.9366 

9255 

9143 

9032 

40 

55 

20 

112 

8920 

8808 

8696 

8585 

8473 

8360 

39 

55 

21 

112 

8248 

8136 

8024 

7912 

7799 

7687 

38 

55 

22 

113 

7574 

7462 

7349 

7236 

7124 

7011 

37 

54 

23 

113 

6898 

6785 

6672 

6559 

6446 

6332 

36 

54 

24 

113 

6219 

6106 

5992 

5879 

5765 

5651 

35 

54 

25 

114 

5538 

5424 

5310 

5196 

5082 

4968 

34 

54 

26 

114 

4854 

4740 

4626 

4511 

4397 

4282 

33 

53 

27 

115 

4168 

4053 

3939 

3824 

3709 

3594 

32 

53 

23 

115 

3480 

3365 

3250 

3134 

3019 

2904 

31 

53 

29 

116 

2789 

2673 

2558 

2442 

2327 

221  1 

30 

52 

30 

116 

2096 

1980 

1864 

1748 

1632 

1516 

29 

52 

31 

116 

1400 

1284 

1168 

1052 

0935 

0819 

23 

52 

32 

117 

0702 

12.0586 

12.0469 

12.0:553 

12.0236 

12.0119 

27 

51 

33 

117 

12.0002 

11.9886 

11.9769 

11.9652 

11.9534 

11.9417 

26 

51 

34 

117 

11.9300 

9183 

9065 

8948 

8831 

8713 

25 

51 

35 

118 

8595 

8478 

8360 

8242 

8124 

8006 

24 

51 

36 

118 

7888 

7770 

7652 

7534 

7416 

7298 

23 

50 

37 

119 

7179 

7061 

6942 

6824 

6705 

6537 

22 

50 

38 

119 

6463 

6349 

6230 

6112 

5993 

5874 

21 

50 

39 

119 

5755 

5635 

5516 

5397 

5278 

5158 

20 

49 

40 

120 

5039 

4919 

4799 

4680 

4560 

4411 

19 

49 

41 

120 

4321 

4201 

4081 

3961 

3341 

3721 

18 

49 

42 

120 

3601 

3480 

3360 

3240 

3119 

2999 

17 

48 

43 

120 

2378 

2758 

2537 

2517 

2396 

2275 

16 

48 

44 

121 

2154 

2033 

1912 

1791 

1670 

1549 

15 

48 

45 

121 

1427 

1306 

1185 

1063 

0942 

0820 

14 

47 

46 

122 

11.0699 

11.0577 

11.0455 

11.03:54 

11.0212 

11.0090 

13 

47 

47 

122 

10.9963 

10.9846 

10.9724 

10.9602 

10.9430 

10.9357 

12 

47 

43 

122 

9235 

9113 

8990 

8868 

8745 

8623 

11 

47 

49 

123 

8500 

8377 

8254 

8132 

8009 

7836 

10 

46 

50 

123 

7763 

7(140 

7517 

7394 

7270 

7147 

9 

46 

51 

124 

7024 

6900 

6777 

6653 

6530 

6406 

8" 

46 

52 

124 

6283 

6159 

6035 

5911 

5788 

5;j;54 

7 

45 

53 

124 

5540 

5415 

5291 

5167 

5043 

4919 

6 

45 

54 

125 

4794 

4670 

4545 

4421 

4296 

4172 

5 

45 

55 

125 

4047 

3922 

3798 

3673 

3548 

3423 

4 

44 

56 

125 

3298 

3173 

3048 

2923 

2797 

2672 

3 

44 

57 

125 

2547 

2422 

2296 

2i71 

2045 

1919 

2 

44 

58 

126 

1794 

1668     1542 

1417 

1291 

1165 

1 

—.0043 

59 

—126 

10.1039 

10.0913   10.0787 

10.0661 

10.0534    10.0408 

0 

| 

60s 

50s      40s 

30s      20s      1C8 

2(>h-f 

62 


GENERAL  TABLES. 


TABLE  XX.—  For  Annual  Precessions  in  Right  Ascension.—  1850.0. 

log.  Ao  a  =  0.12616,2  +  log.  sin  a  —  0.00000,187  (t  —  1850).  Arg.  =  Star's  Mean  Right  Ascension. 

4h-f- 
I6u_ 

Diff. 

for  1C8 

0s 

103 

20s 

30s 

40s 

50s 

om 

+182 

0.063692 

0.063874 

0.064056 

0.064238 

0.064419 

0.064600 

59™ 

1 

181 

064781 

0(54961 

065141 

065321 

065500 

065679 

58 

2 

179 

065858 

066037 

066215 

066393 

066571 

066748 

57 

3 

177 

066925 

067102 

067278 

067454 

067630 

067806 

56 

4 

175 

067981 

068156 

088331 

068505 

068679 

068853 

55 

5 

173 

069026 

069199 

069372 

069545 

069717 

069889 

54 

6 

171 

070060 

070232 

070403 

070573 

070744 

070914 

53 

7 

170 

071084 

07P254 

071423 

071591 

071760 

071929 

52 

8 

168 

072097 

072264 

072432 

072599 

072766 

072933 

51 

9 

163 

073099 

073265 

073431 

073598 

073761 

073926 

50 

10 

165 

074091 

074255 

074419 

074583 

074746 

074909 

49 

11 

163 

075072 

075234 

075397 

075559 

075720 

075882 

48 

12 

161 

076043 

076204 

076364 

076524 

076684 

076844 

47 

13 

159 

077003 

077162 

077321 

077479 

077637 

077795 

46 

14 

158 

077953 

078110 

078267 

078424 

078581 

078737 

45 

15 

156 

078893 

079048 

079204 

079359 

079513 

079668 

44 

16 

154 

079822 

079976 

080129 

080283 

080436 

080589 

43 

17 

152 

080741 

080893 

081045 

081197 

081348 

081499 

42 

18 

151 

081650 

081800 

081950 

082100 

082250 

082400 

41 

19 

149 

082549 

082698 

082846 

082994 

083142 

083290 

40 

20 

.147 

083437 

083584 

083731 

083878 

084024 

084170 

39 

21 

146 

084316 

084462 

084607 

084752 

084896 

085041 

38 

22 

144 

085185 

085328 

085472 

085615 

085758 

085901 

37 

23 

142 

086043 

086185 

086327 

086469 

086610 

088751 

36 

24 

141 

086892 

087032 

087173 

087313 

087453 

087592 

35 

25 

139 

087731 

087869 

088008 

088146 

088284 

088422 

34 

26 

138 

088560 

088697 

088834 

088970 

089107 

089243 

33 

27 

136 

089379 

089514 

089649 

089784 

089919 

090054 

32 

28 

134 

090188 

090322 

090455 

090589 

090722 

090855 

31 

29 

133 

090987 

091  120 

091252 

091383 

091515 

091646 

30 

30 

131 

091777 

091908 

092038 

092168 

092298 

092428 

29 

31 

129 

092557 

092686 

092815 

092944 

093072 

093200 

28 

32 

128 

093328 

093455 

093582 

093709 

093836 

093962 

27 

33 

126 

094088 

094214 

.   094340 

094465 

094590 

094715 

26 

34 

125 

094840 

094964 

095088 

095212 

095335 

095458 

25 

35 

123 

095581 

095704 

095826 

095948 

096070 

096192 

24 

36 

121 

0963.13 

096434 

096555 

096676 

096796 

096916 

23 

37 

120 

097036 

097156 

097275 

097394 

097513 

097631 

22 

38 

118 

097749 

097867 

097985 

098102 

098220 

098337 

21 

39 

117 

098453 

098570 

098686 

098802 

098917 

099032 

20 

40 

115 

099147 

099262 

099377 

099491 

099605 

099719 

19 

41 

114 

099833 

099946 

100059 

100172 

100284 

100396 

18 

42 

112 

100508 

100620 

100731 

100843 

100954 

101064 

17 

43 

111 

101175 

101285 

101395 

101504 

101614 

101723 

16 

44 

109 

101832 

101940 

102049 

102157 

102265 

102372 

15 

45 

107 

102480 

102587 

102694 

102800 

102906 

103012 

14 

46 

106 

103118 

103224 

103329 

103434 

103539 

103644 

13 

47 

104 

103748 

103852 

103956 

104059 

104162 

104265 

12 

48 

103 

104368 

104471 

104573 

104675 

104777 

104878 

11 

49 

101 

104979 

105080 

105181 

105281 

105381 

105481 

10 

50 

100 

105581 

105681 

105780 

105879 

105978 

106076 

9 

51 

98 

106174 

108272 

106370 

106467 

106564 

106661 

8 

52 

97 

106758 

106854 

106951 

107047 

107142 

107238 

7 

53 

95 

107333 

107428 

107523 

107617 

107711 

107805 

6 

54 

93 

107899 

107992 

108085 

108178 

108271 

108363 

5 

55 

92 

108455 

108547 

108639 

108731 

108822 

108913 

4 

56 

91 

109003 

109094 

109184 

109274 

109364 

109453 

3 

57 

89 

109542 

109631 

109720 

109808 

109897 

109985 

2 

58 

87 

110072 

110160 

110247 

110334 

110421 

110507 

I 

59 

+  86 

0.110593 

0.110679 

0.110765 

0.110851 

0.110936 

0.111021 

0 

1 

60s 

50s 

40s 

30« 

20" 

10s 

7h  + 
19h  — 

Annual  Precession,  &  a  =  3.07177  -f-  ^0  a  tan  6  -f  0.00001,9  (t  —  1850). 


GENERAL  TABLES. 


63 


TABLE  XX.—  AnnualPrecessions  in  Decli  nation.—  1850.0. 

A  (5  —  SIK0564  cos  a  —  o'.0000,86  cos  a  (t  —  1850).  Arg.  =  Star's  Mean  Right  Ascension. 

V.ir.  in 

4»>  + 

Diff. 

0s       10s 

20" 

30s 

408 

50" 

100  yrs. 

I6h  — 

for  10s 

1 

—  OJ0043 

Oet 

—126 

10.0282 

10.0156 

10.'0029 

9.'9903 

9.'9776 

9.9650 

59™ 

43 

1 

127 

9.9523 

9.9396 

99270 

9143 

9016 

8889 

58 

42 

2 

127 

8762 

8635 

8508 

8331 

8254 

8127 

57 

4-2 

3 

127 

8000 

7872 

7745 

7ol3 

7490 

7363 

56 

42 

4 

12S 

7235 

7103 

6930 

6352 

6725 

6597 

55 

41 

5 

128 

6469 

6341 

6213 

6085 

5957 

5829 

54 

41 

6 

123 

5701 

5573 

5444 

5316 

5188 

5059 

53 

41 

7 

129 

4931 

4802 

4674 

4545 

4417 

4288 

52 

40 

8 

129 

4159 

4030 

3901 

3772 

3643 

3514 

51 

40 

9 

129 

3335 

3256 

3127 

2993 

2869 

2739 

50 

40 

10 

129 

2610 

2481 

2351 

2222 

2092 

1963 

49 

39 

11 

130 

1833 

1703 

1574 

1444 

1314 

1184 

48 

39 

12 

130 

1054 

0924 

0794 

9.0664 

9.0534 

9.0404 

47 

39 

13 

130 

9.0273 

9.0143 

9.0013 

8.9332 

8.9752 

8.9622 

46 

38 

14 

131 

8.9491 

8.9361 

8.9230 

9099 

8969 

8838 

45 

33 

15 

131 

8707 

8576 

8445 

8315 

8184 

8053 

44 

38 

16 

131 

7921 

7790 

7659 

7528 

7397 

7265 

43 

37 
37 

17 

18 

131 

132 

7134 
6345 

7003 
6213 

6371 

6081 

6740 
5950 

6608 
5618 

6476 
5486 

42 
41 

37 

19 

132 

5554 

5422 

5290 

5158 

5026 

4894 

40 

36 

20 

132 

4762 

4630 

4497 

4365 

4233 

4100 

39 

36 

21 

132 

3968 

3836 

3703 

3570 

3438 

3305 

38 

36 

M 

133 

3173 

3040 

2907 

2774 

2641 

2503 

37 

35 

23 

133 

2375 

2242 

2109 

1976 

1843 

1710 

36 

35 

24 

133 

1577 

1444 

1310 

1177 

1043 

0910 

35 

35 

25 

133 

8.0776 

8.0643 

8.0509 

8.0376 

8.0242 

8.0103 

34 

34 

*  26 

131 

7.9975 

7.9841 

7.9707 

7.9573 

7.9439 

7.9305 

33 

34 

27 

134 

9171 

9037 

8903 

8769 

8635 

8501 

3-2 

34 

28 

134 

8367 

8232 

8093 

7934 

7829 

7695 

31 

33 

29 

134 

7560 

7426 

7291 

7157 

7022 

6837 

30 

33 

30 

135 

6753 

C6I8 

6483 

6348 

6213 

6078 

29 

33 

31 

135 

5943 

5808 

5673 

5538 

5403 

5263 

23 

3i 

32 

135 

5133 

4997 

4862 

4727 

4591 

4456 

27 

32 

33 

136 

4321 

4185 

4050 

39)4 

3778 

3643 

26 

32 

34 

136 

3507 

3371 

3236 

3100 

2964 

2823 

25 

31 

35 

136 

2692 

2556 

2420 

2284 

2148 

2012 

24 

31 

36 

136 

1876 

1739 

1603 

1467 

1331 

1194 

23 

30 

37 

137 

1058 

0922 

7.0785 

7.0649 

7.0512 

7.0376 

22 

30 

38 

137 

7.0239 

7.0102 

6.9965 

6.9829 

6.9692 

6.9555 

21 

30 

39 

137 

6.9419 

6.9282 

9145 

9008 

8371 

8734 

20 

29 

40 

137 

8597 

8460 

8323 

8188 

8043 

7911 

19 

29 

41 

137 

7774 

7637 

7499 

7362 

7224 

7087 

18 

29 

42 

138 

6950 

6812 

6675 

6537 

6399 

6262 

17 

28 

43 

138 

6124 

5936 

5849 

5711 

5573 

5435 

16 

23 

44 

138 

5297 

5159 

5021 

'4883 

4745 

4607 

15 

23 

45 

133 

4469 

4331 

4193 

4055 

3916 

3778 

14 

27 

46 

138 

3640 

3502 

3363 

3225 

3086 

2948 

13 

27 

47 

139 

2809 

2671 

2532 

2394 

2255 

2116 

12 

27 

48 

139 

1978 

1839 

1700 

1561 

1423 

1284 

11 

26 

49 

139 

1145 

1006 

0867 

6.0723 

6.0539 

6.0450 

10 

26 

50 

139 

6.0311 

6.0172 

6.0032 

5.9893 

5.9754 

5.9615 

9 

25 

51 

139 

5.9476 

5.9336 

5.9197 

9058 

8918 

8779 

8 

25 

52 

140 

8639 

8500 

8360 

8221 

8081 

7941 

7 

25 

53 

140 

7802 

7662 

7522 

7333 

7243 

7103 

6 

24 

54    140 

6983 

6323 

6634 

6544 

6404 

6264 

5 

24 

55 

140 

6124 

5984 

5844 

5703 

5563 

5423 

4 

24 

56 

140 

5283 

5143 

5002 

4862 

4722 

4532 

3 

23 

57    141 

4441 

4301 

4160 

4020 

3880 

3739 

2 

23 

53    141 

3598 

3453 

3317 

3177 

3036 

2895 

I 

—0.0023 

59  —141 

5.2755 

5.2814 

5.2473 

5.2332 

5.2191 

5.2051 

0 

60s 

50s 

40s 

30s 

20s 

10" 

?h— 
19b-f- 

64: 


GENERAL  TABLES. 


TABLE  XX.—  For  Annual  Precessions  in  Right  Ascension.—  1830.0. 

log.  Ao  a  =  0.12616,2  -f  log.  sin  a  —  0.00000,  187  (i  —  1850).  Arg.  =  Star's  Mean  Right  Ascension. 

£± 

Diff. 
for  10s 

O3 

10s 

20s 

309 

403 

50s 

Qra 

+84 

0.111108 

0.111190 

0.111274 

0.111358 

0.111442 

0.111526 

59m 

1 

83 

111609 

111692 

111775 

111857 

111939 

112021 

58 

2 

82 

112103 

112185 

112266 

112347 

112428 

112509 

57 

3 

80 

112539 

112669 

112749 

112829 

112908 

112937 

56 

4 

79 

113066 

113144 

113223 

113301 

113379 

113457 

55 

5 

77 

113534 

113611 

113688 

113765 

113841 

113917 

54 

6 

76 

113993 

114069 

114144 

114220 

114295 

114369 

53 

7 

74 

.  114444 

114518 

114592 

114666 

114739 

114813 

52 

8 

72 

114886 

114958 

115031 

115103 

115175 

115247 

51 

9 

71 

115319 

115390 

115461 

115532 

115603 

115673 

50 

10 

70 

1  15743 

115813 

115883 

115952 

116021 

116090 

49 

11 

68 

116159 

116227 

116296 

116364 

116431 

116499 

48 

12 

67 

116566 

116633 

116700 

116766 

1  16333 

116899 

47 

13 

68 

116985 

117030 

117096 

117161 

117225 

1  17290 

46 

14 

64 

117354 

117418 

117482 

117546 

117610 

117673 

45 

15 

62 

117736 

117798 

117881 

117923 

117985 

118047 

44 

16 

61 

118108 

118170 

118231 

118291 

118352 

118412 

43 

17 

60 

118472 

118532 

118592 

118651 

118710 

118769 

42 

18 

59 

118828 

118886 

118944 

119002 

119060 

119118 

41 

19 

57 

119175 

119232 

119289 

119345 

119401 

119457 

40 

20 

58 

119513 

119569 

119624 

119679 

119734 

119789 

39 

21 

54 

119843 

119897 

119951 

120005 

120058 

120111 

33 

22 

53 

120164 

120217 

120270 

120322 

120374 

120426 

37 

23 

52 

120477 

120529 

120580 

120631 

120681 

120732 

38 

24 

50 

120782 

120832 

120831 

120931 

120930 

121029 

35 

25 

48 

121078 

121126 

121174 

121222 

121270 

121318 

34 

26 

47 

121365 

121412 

121459 

121506 

121552 

121598 

33 

27 

46 

121644 

121690 

121735 

121780 

121825 

121870 

32 

28 

44 

121915 

121959 

122003 

122047 

122090 

122134 

31 

29 

43 

122177 

122219 

122262 

122305 

122347 

122389 

30 

30 

42 

122430 

122472 

122513 

122554 

122595 

122835 

29 

31 

40 

122676 

122716 

122755 

122795 

122834 

122373 

28 

32 

39 

122912 

122951 

122990 

123028 

123066 

123103 

27 

33 

33 

123141 

123178 

123215 

123252 

12328S 

123325 

26 

34 

38 

123361 

123397 

123433 

123468 

123503 

123538 

25 

35 

35 

123573 

123607 

123641 

123675 

123709 

123743 

24 

36 

33 

123776 

123809 

123842 

123375 

123907 

123939 

23 

37 

32 

123971 

124003 

1240:>4 

124065 

124096 

124127 

22 

33 

30 

124158 

124188 

124218 

124248 

124278 

124307 

21 

39 

29 

124336 

124365 

124394 

124422 

124450 

124478 

20 

40 

28 

124506 

124533 

124561 

124588 

124615 

124841 

19 

41 

27 

124668 

124694 

124720 

124745 

124771 

124796 

18 

42 

25 

124821 

124846 

124870 

124894 

124918 

124942 

17 

43 

24 

124966 

124989 

125012 

125035 

125058 

125080 

16 

44 

2:2 

125103 

125125 

125146 

125168 

125189 

125210 

15 

45 

21 

125231 

125251 

125272 

125292 

125312 

125332 

14 

46 

19 

125351 

125370 

125389 

125408 

125426 

125445 

13 

47 

18 

125463 

125481 

125498 

1  2551  5 

125532 

125549 

12  - 

48 

17 

125586 

125583 

125599 

125615 

125631 

125646 

11 

49 

15 

125661 

125676 

125691 

125706 

125720 

125734 

10 

50 

14 

125748 

125762 

123775 

125789 

125802 

125814 

9 

51 

13 

125827 

125839 

125851 

125863 

125875 

125886 

8 

52 

11 

125897 

1-25908 

125919 

125929 

125939 

125949 

7 

53 

10 

125959 

123969 

125978 

125937 

125996 

126005 

6 

54 

8 

126013 

126021 

126029 

126037 

126044 

126051 

5 

55 

7 

126058 

128065 

126072 

126078 

126084 

126090 

4 

56 

6 

126096 

126101 

126106 

126111 

126116 

126120 

3 

57 

4 

126125 

126129 

126132 

126136 

126139 

126142 

2 

58 

3 

128145 

126148 

128150 

126152 

126154 

126156 

1 

59 

+  1 

123158 

0  126159 

0.126160 

0.126161 

0.126161 

0.126162 

0 

60 

0 

0.126162 

—  1 

63s 

50" 

40s 

30s 

20s 

to- 

6"1  +• 

Annual  Precession,  A  a  =  3.07177  -f  &0  a  tan  J  -f  0.00001,9  (t  —  1850). 


GENERAL  TABLES. 


65 


TABLE  XX.—  Annual  Precessions  in  Declination.—  1850.0. 

A  <J  =  2o"  0564  cos  a  —  0.0000,86  cos  a  (t  —  1850).  Arg.  =  Star's  Mean  Eight  Ascension. 

Var.  in 

5h  -f  |  Diff. 

0s 

10s 

20s 

30s 

40s 

5CS 

10J  yrs. 

17li  _  I  for  10s 

—  (U023 

Cm 

—141 

5!  1910 

5".  1769 

5!  1  628 

5'!  1487 

5'!  1346 

5.1205 

59m 

22 

1 

141 

1064 

0923 

5.0782 

5.0641 

5.0500 

5.0358 

58 

22 

2 

141 

5.0217 

5.0076 

4.9935 

4.9793 

4.9652 

4.9511 

57 

21 

3 

141 

4.9370 

4.9228 

90c7 

8945 

8804 

8662 

56 

21 

4 

142 

8521 

8379 

8238 

8096 

7955 

7813 

55 

20 

5 

142 

7671 

7530 

7333 

7246 

7104 

6963 

54 

20 

6 

142 

6321 

6679 

6537 

6395 

6253 

6111 

53 

20 

7 

142 

5969 

5827 

5635 

5543 

5401 

5259 

52 

19 

8 

142 

5117 

4975 

4833 

4691 

4548 

4406 

51 

19 

9 

142 

4264 

4122 

3979 

3337 

3695 

3552 

50 

19 

10 

142 

3410 

3268 

3125 

2983 

2840 

2698 

49 

18 

11 

143 

2555 

2413 

2270 

2128 

1985 

1842 

48. 

18 

12 

143 

1700 

1557 

1414 

1272 

1129 

0986 

47 

18 

13 

143 

4.0843 

4.0700 

4.0558 

4.0415 

4.0272 

4.0129 

46 

17 

14 

143 

3.9386 

3.9843 

3.9700 

3.9557 

3.9414 

3.9271 

45 

17 

15 

143 

9123 

8935 

8842 

8699 

8556 

8413 

44 

16 

16 

143 

8269 

8126 

7933 

7840 

7697 

7553 

43 

16 

17 

143 

7410 

7267 

7123 

6980 

6837 

6693 

42 

18 

144 

6550 

6406 

6263 

6119 

5976 

5833 

41 

15 

19 

144 

5639 

5546 

5402 

5258 

5115 

4971 

40 

15 

20 

144 

4828 

4684 

4540 

4397 

4253 

4109 

39 

15 

21 

144 

3935 

3322 

3678 

3534 

3390 

3£46 

38 

14 

22 

144 

3103 

2959 

2815 

2671 

2527 

2383 

37 

14 

23 

144 

2239 

2095 

1951 

1807 

1663 

1519 

36 

13 

24 

144 

1375 

1231 

1087 

0943 

3.0799 

3.0655 

35 

13 

25 

144 

3.0510 

3.0366 

3.0222 

3.0073 

2.9934 

2.9Z89 

34 

13 

26 

144 

2.9645 

2.9501 

2.9357 

2.9212 

9068 

8924 

33 

12 

27 

144 

8779 

8635 

8491 

8346 

8202 

8058 

32 

12 

28 

144 

7913 

7769 

7624 

7480 

7335 

7191 

31 

12 

29 

144 

7046 

69J2 

6757 

6613 

6468 

6323 

30 

11 

30 

144 

6179 

6034 

5890 

5745 

5600 

5456 

29 

11 

31 

145 

5311 

5166 

5022 

4877 

4732 

4587 

28 

10 

32 

145 

4443 

4298 

4153 

4008 

3863 

3719 

27 

10 

33 

145 

3574 

3429 

3284 

3139 

2994 

2849 

26 

10 

34 

145 

2705 

2560 

2415 

2270 

2125 

1980 

25 

9 

35 

145 

1835 

1690 

1545 

1400 

1255 

1110 

24 

9 

36 

145 

0965 

2.0820 

2.0675 

2.0529 

2.0384 

2.0239 

23 

9 

37 

145 

2.0094 

1.9949 

1.9804 

1.9659 

1.9514 

1.9368 

22 

8 

33 

145 

1.9223 

9078 

8933 

8788 

8642 

8497 

21 

8 

39 

145 

8352 

8207 

8061 

7916 

7771 

7626 

20 

7 

40 

145 

7480 

7335 

7190 

7044 

6899 

6754 

19 

7 

41 

145 

6608 

6463 

6318 

•  6172 

6027 

5881 

18 

7 

42 

145 

5736 

5591 

5445 

5300 

5154 

5009 

17 

6 

43 

145 

4863 

4718 

4573 

4427 

4282 

4136 

16 

6 

44 

145 

3991 

3845 

3700 

3554 

3409 

3263 

15 

6 

45 

146 

3118 

2972 

2826 

2681 

2535 

2390 

14 

5 

46 

146 

2244 

2099 

1953 

1807 

1662 

1516 

13 

5 

47 

146 

1371 

1225 

1079 

0934 

1.0783 

1.0642 

12 

5 

48 

146 

1.0497 

1.0351 

1.0205 

1.0060 

0.9914 

0.9768 

11 

4 

49 

146 

0.9623 

0.9477 

0.9331 

0.9186 

9040 

8894 

10 

4 

50 

146 

8748 

8603 

8457 

8311 

8166 

8020 

9 

3 

51 

146 

7874 

7723 

7583 

7437 

7291 

7145 

8 

3 

52 

146 

7000 

6854 

6708 

6562 

6416 

6271 

7 

3 

53 

146 

6125 

5979 

5833 

5688 

5542 

5396 

6 

2 

54 

146 

5250 

5104 

4959 

4813 

4667 

4521 

5 

2 

55 

146 

4375 

4229 

4084 

3938 

3792 

3646 

4 

2 

56 

146 

3500 

3354 

3209 

3063 

2917 

2771 

3 

1 

57 

146 

2625 

2479 

2334 

2188 

2042 

1896 

2 

1 

58 

146 

1750 

1604 

1459 

1313 

1167 

1021 

1 

0 

59 

146 

0875 

0.0729 

0.0583 

0.0433 

0.0292 

0.0146 

0 

—0.0000 

60 

—146 

0.0000 

—  1 

60s 

50s 

40s 

30s 

20s 

10s 

6h  — 

18h  + 

SPECIAL  TABLES 

4 

FOR  THE  STANDARD  STARS  OF  THE  AMERICAN  EPHEMERIS  AND 

NAUTICAL  ALMANAC. 


68 


SPECIAL  TABLES. 


TABLE  XXI.—  Mean  Right  Ascensions  of  Standard  Stars  for  1860.0.  . 

Star's  name. 

Mag. 

Right  Ascension. 

An.  Variation. 

Sec.  Variation. 

Prop.  Motion. 

2 
3.2 
3 
Var. 
6 

2 
4 
2 
3 

6 

4.3 
1 
4 
3.2 

4 

2 
4.5 
4 
3.4 
2.3 

6 
45 
2 
3 
3 

3 
3 
4 
4.3 
1 

4 
3 
5 
1 
1 

2 
6.7 
2 
3 
2 

2 
Var. 
5.4 
3 
1 

2.3 
5 
1 
2.1 
2 

h    m      a 
0     1     9.427 
0    6     1.797 
0  18  19.936 
0  3-2  35.073 
0  36  28.192 

0  36  33.601 
0  55  40.798 
1  8  3.195 
1  17  1.568 
1  20  52.220 

1  23  59.745 
1  32  29.669 
1  38  0.301 
1  46  54.740 
1  51  33.318 

1  59  17.286 
2  5  34.978 
2  17  34.852 
2  36  2.966 
2  54  57.857 

3  2  42.022 
3  6  51.602 
3  14  20.684 
3  32  58.207 
3  39  10.067 

3  45  20.325 
3  51  29.919 
4  11  49.768 
4  20  26.70J 
4  27  53.441 

4  40  9.364 
4  47  52.863 
4  56  34.329 
5  6  21.120 
5  7  48.651 

5  17  26.642 
5  21  1.861 
5  24  51.337 
5  26  33.420 
5  29  6.637 

5  34  34.859 
5  47  35.602 
6    3  24.648 
6  14  29.434 
6  20  50.780 

6  29  37.426 
6  33  38.690 
.  6  38  58.677 
6  53    7.502 

7    2  41.998 

+  3.08580 
3.08157 
3.27548 
3.35801 
3.81033 

3.01414 
3.10773 

18.78480 
2.99756 
4.33548 

3.19737 
2.23616 
3.16045 
3.29348 
4.95626 

3.36565 
3.16798 
4.82371 
3.10142 
3.12762 

7.30312 
3.43481 
4.24196 
4.23447 
3.55181 

3.75354 
2.79595 
3.40594 
3.49403 
3.43452 

5.90462 
3.89493 
3.42404 
4.42034 

2.88030 

3.78669 
7.97812 
3.06350 
2.64606 
3.04152 

2.17186 
3.24652 
6.61942 
3.  (53280 
1.33010 

3.46909 
30.52200 
2.64513 
2.35835 

+  2.43958 

-f-  0.01820 
-f-  0.00995 
—  0.16094 
+  0.05503 
-j-  0.15810 

—  0.00565 
+  0.00864 
+12.78781 
-j-  0.00169 
+  0.14223 

+  0.01423 
—  0.01315 
-f  0.01106 
+  0.01818 
+  0.18464 

-f  0.02026 
-f-  001154 

-j-  0.13002 
+  0.00918 
-f-  0.00967 

-f-  0.35066 
+  0.01764 
+  0.04830 
-f  0.04159 
+  0.01730 

-f  0.02220 
+  0.00454 
+  0.01156 
+  0.01215 
+  0.01061 

+  0.07036 
-j-  0.01458 
+  0.00785 
+  0,01655 
-j-  0.00397 

-f  0.00804 
+  0.08056 
+  0.00362 
+  0.00297 
-f-  0.00356 

+  0.00275 
+  0.00278 
—  0.00473 
—  0.00040 
-f  0.00100 

—  0.00141 
—  1.7/295 
0.00000 
+  0.00132 
-j-  0.00118 

4-0.0102 
+0.0006 
+0.7080 
+0.0076 
—0.0114 

+0.0143 
—0.0045 
+0.1172 
—0.0053 
+0.0249 

+0.0004 
+0.0028 
+0.0061 
+0.0062 
—0.0113 

+0.0142 
—0.0042 
—0.0079 
—0.0094 
—  O.OOJ5 

+0.0164 
—0.0015 
+0.0018 
+0.0002 
+0.0010 

+0  0006 
+0.0044 
+0.0035 
+0.0076 
+0.0045 

—0.0031 
—0.0008 
+0.0025 
+0.0086 
—0.0001 

+0.0017 
+0.0080 
+0.0009 
+0.0020 
—0.0005 

+0.0013 
+0.0017 
—0.0021 
+0.0059 
+0.0010 

+0.0040 
—0.0695 
—0.0358 
+0.0013 
+0.0003 

j  Pegasi,  (Al  genib)     .      .     . 
*  3  Hydri 

/3  Ceti     

e  Piscium    

*  a  Ursse  Minoris,  (Polaris) 
0*  Ceti     

*38  Cassiopese      

f]  Piscium                .... 

a  Eridani,  (Achernar). 

{3  Arietis       

*50  CassiopeflB      ..... 

£iCeti     

*  i  Cassiopcse      .... 

y  Ceti     

a  Ceti     

*48  Cephei,  (Hev.)    .... 

d  Persei  

jj  Tauri  

7  Tauri  

e  Tauri  .... 

a  Tauri,  (Aldebaran)  . 

*  9  Camelopardalis   .... 
i   Aurigse     

a  Aurigse,(C<7/?eWa)     . 
/?  Orionis,  (  Rigd)  .... 

B  Tauri  

*       Groombridge  966      .     .     . 

*22  Camelopardalis,  (Hev.).     . 

a  Argus,  (Canopus)    . 

*51  Cephei,  (Hey.)     .     .     .     . 
a  Canis  Majoris,  (Sirius)  . 
e   Canis  Majoris      .... 
6  Canis  Majoris      .... 

Circumpolar  Stars. 


SPECIAL  TABLES. 


69 


TABLE  III.—  Mean  Declinations  of  Standard  Stars  for  1860.0. 

Star's  name. 

Declination. 

An.Variation 

Sec.  Variation. 

Prop.  Motion. 

Authority. 

a  Andromedse.     .     .     . 
y  Pe^asi     .      .      .      .      • 

O         1         II 

+28  19  3.11 

+14  24  18.85 
—78  2  36.91 
+55  46  7.98 
+74  13  17.73 

—18  45  20.08 
+  78  8.22 
+88  33  47.08 
—  8  54  23.91 
+69  32  32.03 

+14  37  22.87 
—57  56  55.77 
+  8  27  6.29 
+20  7  19.99 
+71  44  27.27 

+22  47  55.28 
+  8  11  17.40 
+66  46  10.70 
+  2  38  37.59 
+  3  32  17.29 

+77  12  49.84 
+20  31  23.18 
+49  21  33.12 
+47  20  9.29 
+23  40  H.69 

+31  27  51.97 
—13  54  32.91 
+  15  17  10.88 
+18  51  59.72 
+16  13  28.29 

+66  5  55.38 
+32  56  25.77 
+  15  12  2U.28 
+45  51  3.06 
—  8  21  58.98 

+28  29  6.43 
+74  56  32.00 
—  0  24  21.96 
—17  55  30.86 
—  1  17  40.47 

—34  9  2.81 
+  7  22  38.93 
+69  21  42.78 
+22  34  54.00 
—52  37  13.74 

+16  30  54.82 
+87  14  54.04 
—16  31  36.16 
—28  47  2.22 
—26  10  23.13 

// 
+19.9057 
20.0487 
20.2504 
19.8106 
19.7431 

19.8402 
19.4918 
19.1797 

18.7409 
18.7408 

18.7417 

18.4328 
18.2876 
17.8185 
17.7262 

17.2661 
17.1083 
16.5300 
15.4304 
14.4003 

13.9492 
13.6937 
13.2237 
11.9518 
11.5153 

11.0935 
10.5765 
9.1160 
8.4329 
7.6789 

6.8556 
6.1952 
5.4692 
4.2275 
4.5280 

3.5295 
3.3916 
3.0538 
2.9423 
2.6991 

2.1930 
+  1.1028 
—0.4075 
1.3743 
1.8215 

2.6125 

2.9808 
4.6029 
4.6037 
—5.3812 

ii 
—0.0109 
0.0205 
0.0440 
0.0779 
0.0963 

0.0787 
0.1173 
0.8137 
0.1520 
0.2279 

0.1752 
0.1360 
0.1994 
0.2244 
0.3450 

0.2527 
0.2485 
0.4039 
0.2906 
0.3214 

0.770& 
0.3704 
0.4699 
0.5000 
0.4298 

0.4604 
0.3504 
0.4474 
0.4669 
0.4650 

0.8137 
0.5427 
0.4832 
0.6303 
0.4111 

0.5446 
1.1494 
0.4430 
0.3-333 
04406- 

0.3160 
0.4736 
0.9649 
0.5290 
0.  1924 

0.5011 
4.38:35 
0.3810 
0.3330 
—0.3403 

—0.1496 
+0.0001 
+0.2590 
—0.0425 
—0.0590 

+0.0393 
+0.0253 
+0.0019 
—0.1926 
—0.0791 

+0.0182 
—0.0115 
+0.0381 
—0.0941 
0.0000 

-0.1335 
—0.0109 
—0.0190 
—0.1531 
—0.0893 

—0.0641 
—0.0570 
—0.0428 
—0.0500 
—0.0476 

—0.0240 
—0.0885 
—0.0022 
—0.0076 
—  0.1662 

+0.0090 
—0.0123 
—0.0106 
—0.4243 
+00004 

—0.1731 
—0.0021 
—0.0096 
+0.0261 
+0.0041 

—0.0217 
+0.0175 
—0.1090 
—0.1071 
+0.0002 

—0.0273 
—0.0472 
—1.2092 
+0.0036 
+0.0374 

Gould. 

<  < 

Brit.  N.  A.,  1848. 
Gould. 

ii 

« 
ii 
ii 
ii 

i< 

Brit.  N.  A.,  1848. 
Gould. 

ii 

<t 

M 
|| 

« 
M 

If 

ii 
If 

t( 
tt 

u 

U 

n 

K 

11 

« 

n 
,  t 
II 

( 
« 
M 
II 

.     it 

II 

ct 

Brit.  N.  A.,  1$48. 
Gould. 

K 

Wolfers. 
Gould. 

M 

ft  Hydri      .           ... 

a  Cassiopese    .     . 
21  Cassiopese    .... 

(3  Ceti                    .     . 

a  Ursse  Minoris     . 
0i  Ceti   

38  Cassiopeae    .... 

o  Piscium  

ft  Arietis     . 

50  Cassiopeae    .... 

fiCeti    

i  Cassiopese    .... 
•y  Ceti    

a  Ceti   

48  Cephei    ...... 

f  Arietis     

<T  Persei     .     .     .     . 

-y  Tauri       

e  Tauri       

a  Tauri       .      .      .      . 

9  Camelopardalis  .     .     . 

a  Aurigse    

3  Oriouis    

ft  Tauri       

Groombridge  966    .     . 
6  Oriouis    .... 

a  Leporis    

e  Orionis    

a  Columbce      .... 

22  Camelopardalis  . 
fj.  Gerninorum  .... 

y  Gerninorum  .... 
51  Cephei     

a  Canis  Majoris     . 
e  Cauis  Majoris     . 
d  Canis  Majoris     .      .     . 

70 


SPECIAL  TABLES. 


TABLE  III.—  Mean  Right  Ascensions  of  Standard  Stars  for  1860.0. 

Star's  name. 

Mag. 

Right  Ascension. 

An,  Variation. 

Sec.  Variation. 

Prop.  Motion. 

(5  Gerninovum    ...... 

3.4 
6 
2.1 
1 
1.2 

5 
6 
3 
3.4 
3 

5 
5 
2 
4.5 
2 

5.4 
3 
3 
4 
1.2 

6 
2 
5.4 
4 

2 

5 
2 
2.3 
3.4 
5 

3.4 
5.4 
2 
2.3 
4 

5.4 
5 
3.4 
1 
2.3 

3.4 
5.4 
3 
4.5 
1 

3.4 
2 
3 

1 
3.4 

h    m      s 
7  11  45.569 
7  16  16.666 
7  25  39.450 
7  31  58.363 
7  30  44.678 

7  44  55.501  , 
7  58  49.845 
8    1  34.981 
8  ,39  21.616 
8  49  36.286 

8  58    L288 
9    0    9.674 
9  13  20.530 
9  16  48.367 
9  20  42.459 

9  22    1.965 

9  23  28.286 
9  37  53.912 
9  44  47.659 
10    0  54.794 

10    7  49.327 
10  12  14.938 
10  23    5.172 
10  25  26.257 
10  39  38.279 

10  41  53.734 
10  55    3.364 
11     6  39.521 
11  12  20.625 
11  20  44.232 

11  23    2.875 
11  29  46.889 
11  41  54.983 
11  46  26.987 
11  58    4.620 

12    5  35.671 
12  10  12.636 
12  12  44.660 
12  18  50.086 
12  27    2.370 

12  27  29.236 
12  48    8.627 
12  49  28.417 
13    2  42.278 
13  17  49.316 

13  27  33.709 
13  42     1.238 
13  48     1.143 

13  53  58.685 
14    0  36.040 

+38-59161 
6.32323 
3.84071 
3.14674 
3.68326 

a.  68595 
6.08409 
2.55624 
3.18504 
4.14609 

5.39428 
3.25653 
1.60178 
9.23317 
2.94970  , 

5.45077 
4.05784 
3.42186 
3.42738 
3.20447 

4.45459 
3.31931 
5.34531 
3.16725 

2.30708 

3.16054 
3.77075 
3.20384 
2.99523 
3.08831 

3.65420 
3.07180 
3.06650 
3.19421 
3.05994 

2.92306 
3.32097 
3.06812 
3.25791 
3.13634 

2.60780 
0.32723 
2.81902 
3.09984 
3.15153 

3.05200 
2.37533 

2.85862 
4.15306 
+1.62222 

-^0.00716 
0.08224 
0.01310 
0.00420 
0.01255 

—0.01301 
—0.11856  , 
-fO.00138 
—0.00707 
0.04443 

—0.13444 

0.00937 
0.00210 
0.80709 
0.00142 

—0.17036 
0.05532 
0.01778 
0.01967 
0.01008 

.     —0.11571 
0.01499 
0.28415 

—0.00806 
-f  0.02142 

—0.00818 
—0.08221 
—0.01341 
+0.00629 
—0.00218 

—0.11285 

+0.00024 
—0.00729 
—0.04400 
—0.00317 

—0.12901 
+0.17339 
+0.00256 
+0.06607 
+0.01627 

—0.05496 
+0.23160 
—0.01510 
+0.00773 
+0.01141 

+0.00631 
—0.01029 
—0.00047 
+0.08330 
+0.00517 

—0.0004 
+0.0026 
—0.0148 
—0.0455 
—0.0471 

—0.0004 
+0.0056 
—0.0046 
—  O.OH7 
—0.0453 

—0.0025 
—0.0030* 
—0.0090 
-0.0077 
—0.0011 

—0.0147 
—0.1064 

—0.0028 
—0.0181 
—0.0165 

—0.0164 
+0.0203 
—0.0002 
+0.0005 
—0.0021 

—0.0006 
—0.0195 
+0.0117 

—0.0078 
+0.0019 

—0.0108 
0.0000 
—0.0344 
+0.0116 
—0.0139 

+0.0100 
—0.0446 
—0.0037 
—0.0233 
—0.0012 

—0.0109 
—0.01-24 
—0.0204 
—0.0024 
—0.0024 

—0.0189 
—0.0102 
—0.0031 
—0.0103 
—0.0066 

*       Piazzi  vii.  67  
a  Gem'morum,  (Cust&r)    . 
a  Canis  Minoris,  (Procyon)  , 
(3  Geminorum,  (Pollux)    .     , 

0  Geminomrn    ...... 

*  3  Ursse  Majoris,  (H.)  .     .     . 
15  Argus,  (i)»     •     -     •     •     « 

i   Ursae  Majoris      .... 
*  <r2  Ursae  Majoris      .... 

i  Argus  ....... 

*  1  Draconis,  (H.)     .     ,     .     . 

*'  d  Ursse  Majoris,           ,     .     , 
6  Ursse  Majoris 

a  Leonis,  (Regulus)    . 
*32  Ursse  Majoris      .... 

*  9  Draconis,  (H.)    ,     .      .     , 

p  Leonis       ........ 

a  Ursae  Majoris      .... 

*  A  Draconis  

v  Leonis,           

y  Ursae  Majoris      .... 
o  Virginia    . 

*  4  Draconis,  (H.)     .... 

*  ft  Chamseleontis     .... 

a1  Crucis       

ft  Corvi  

*32  Camelopardalis,  (H.)  (foil.) 
12  Canum  Venaticorum 
6  Virginis    

a  Virginis,  (Spica)  . 

TJ  Ursoe  Majoris  

t)  Bootis  

'  Circumpolar  Slurs. 


SPECIAL  TABLES. 


71 


TABLE  III.—  Mean  Declinations  of  Standard  Stars  for  1800.0. 

Star's  name. 

Declination. 

\n.  Variation  JSec.  Variation. 

Prop.  Motion. 

Authority. 

6  Geminornm  .... 
Piazzi,  vii.  67    . 
a  Geminorum  .... 
a  Canis  Minoris    . 
/?  Geminorum. 

0  Geminorum  .... 
3  Ursse  Majoris    .     .     . 
15  Argus      ....... 

0          /        // 

-f22  14  11.64 
+68  44  42.08  ' 
+32  11  29.45 
+  5  34  50.54 
+28  21  39.43 

-f  27    7  28.79 
+68  52  49.75 
—23  54  10.34 
-f  6  55  48.21 
-j-48  35  17.66 

+67  41  54.30 
+11  13  45.73 
—58  41  17.84 
+81  56  22.52 
—  8    3  12.79 

+70  26  31.53 
+52  18  46.37 
+24  25    1.40 
+26  39  52.13 
+12  39    0.45 

+65  48  16.36 
+20  32  54.31 
+76  25  55.14 
+10     1  33.18 
—58  56  55.25 

+11  17    6.68 
+62  30  20.87 
+21  17  25.20 
—14     1  16.21 
+  3  37  37.16 

+70    6  10.94 
—  0    3    3.39 
+15  21  17.18 
+54  28  23.28 
+  9  30  39.20 

+78  23  38.51 
-78  32    5.54 
+  06  42.14 
—62  19  18.83 
—22  37  17.85 

+70  33  36.42 
+84  10  25.52 
+39    4  31.12 
—  4  47  £5.44 
—10  25  44.85 

+  07  17.18 
+50    0  47.62 
+19    6    4.38 
—59  41  42.79 
|  +65    2  44.10 

—6.1683 
6.6254 
7.3991 

8.8766 
8.2593 

8.6784 
9.9500 
10.0747 
12.8705 
13.7891 

14.1534 

14.17CH 
14.9116 
15.1773 
15.3589 

15.4271 
16.1117 
16.3283 
16.7115 
17.3868 

17.7356 
17.9983 
18.3190 
18.3711 
18.7435 

18.9028 
19.3382 
19.6398 
19.4277 
19.7706 

19.8544 
19.8285 
20.0855 
20.0181 
20.0048 

20.0575 
20.0443 
20.0369 
199368 
19.9533 

19.9355 
19.6356 
19.5247 
19.3:500 
18.9290 

18.5417 
18.1226 
18.2021 
17.6953 
—17.3763 

—0.4956 
0.8692 
0.5270 
0.4200 
0.4803 

0.4784 
0.7672 
0.3166 
0.3499 
0.4359 

0.5548 
0.3293 
0.1482 

0.8726 
0.2688 

0.4976 
0.3570 
0  2827 
0.2695 
0.2233 

0.2961 
0.2130 
0.3121 
0.1774 
0.1073 

0.1459 
0.1447 
0.0998 
0.08J6 
0.0683 

0.0768 
0.0503 
0.0263 
—0.0190 
+0.0049 

0.0191 
0.0302 
0.0334 
0.0462 
0.0624 

0.0539 
0.0180 
0.0958 
0.1305 
0.1611 

0.1729 
0.1563 
0.1968 
0.2930 
+0.1258 

it 
+0.0092 
—0.0730 
—0.0766 
—1.0425 
—0.0429 

—0.0140 
—0.0110 
+0.0727 
—0.0221 
—0.2657 

—0.0950 
+0.0207 
+0.0709 
+0.0050 
+0.0442 

+0.0501 
—0.5552 
—0.0060 
—0.0460 
+0.0215 

—0.0349 
—0.1187 
—0.0300 
+0.0014 
+0.0917 

—0.0007 
—0.0826 
—0.1250 
+0.1958 
—0.0087 

—0.0590 
+0.0529 
—0.0924 
+0.0024 
+0.0500 

—0.0080 
—0.0087 
—0.0124 
+0.0511 
—0.0372 

—0.0240 
—0.0210 
+0.0654 
—0.0204 
—0.0186 

+0.0678 
—0.0215 
—0.3332 
—0.0692 
—0.0340 

Gould. 

i  » 

Wolfers. 
t< 

Gould. 
u 

II 

11 
«t 
ti 

II 

(( 

Brit.  N.  A.,  1848. 

Gould, 
it 

ii 

u 

(( 

n 
it 

(t 

ii 

« 

Brit.  N.  A..  1848. 

Gould. 

ii 

*«( 

tt 
« 
11 
II 

« 

Brit.  N.  A.,  1848. 
Gould. 
Brit.  N.  A.,  1848. 
Gould. 

« 

H 
(i 
U 
«« 

« 
(t 

.4 

Brit.  N.  A.,  1848. 
Gould. 

£  Hydrae    ..... 

t  Ursae  Majoris    . 
a*  Ursae  Majoris    , 

1  Draconis      .... 
G  Hydrse         .           . 

24  Ursse  Majoris,  (rf)   .     . 
0  Ursse  Majoris     . 
£  Leonis     

n  Leonis    ..... 

32  Ursse  Majoris    . 
yi  Leonis    ..... 

9  Draconis      .... 
p  Leouis    . 

I  Leonis    ..... 

a  Ursae  Majoiis     .      .     . 

r  Leonis     

").  Draconis                  . 
91  Leonis,  (v)    .... 
(3  Lecnis     .... 

7  Ursse  Majoris     . 
o  Virginis        .... 

4  Draconis       .... 
3  Chamaeleontis    .     .     . 

a1  Crucis     .... 

(3  Corvi      

K  Draconis       .     .     .     , 
32  Camelopardalis  ,     .     , 
12  Canum  Venaticorum    . 
B  Virginis  

a  Virginis  

C  Virginis  

TJ  Ursse  Majoris    .     .     . 
77  Bootis     

a  Draconis       .... 

72 


SPECIAL  TABLES. 


1 

TABLE  XXI.—  Mean  Eight  Ascensions  of  Standard  Stars  for  1800.0. 

Star's  name. 

Mag. 

Right  Ascension. 

An.  Variation. 

Sec.  Variation. 

Prop.  Motion. 

a  Bootis,  (Arcturus)    . 
6  Bootis  

1 
4.3 
5.4 
1 
2.3 

2.3 
2 
3 
2 
4.3 

3 
2 
2.3 
3.4 
4.5 

4 
2.3 
2 
6.5 
3 

3.4 
1.2 

3.2 
5 
3.2 

2 
3 
3.4 
5 
4.5 

Var. 
5 
3.2 
2 
5 

3.4 
4.5 
6 
2.3 
3.4 

4 
4.5 
3 
4.5 
1 

Var. 
2.3 
6 
3 
5 

h    m      s 
14    9  16.GOO 
14  20  25.797 
14  27  52.026 
14  30    7.977 
14  38  52.388 

14  43    8.343 
14  51     9.200 
]4  56  40.350 
15    9  28.642 
15  19  12.148 

15  20  58.742 
15  28  45.665 
15  37  22.437 
15  43  50.379 
15  49    8.359 

15  51  47.594 
15  52    3.640 
15  57  18.070 
16    5  57.164 
16    7    0.693 

16  15  31.946 
16  20  49.733 
16  22    6.135 
16  28  16.400 
16  29  27.162 

16  33  52.787 
16  38    5.849 
16  51     2.560 
16  56  26.193 
17     0  26.893 

17    8  15  884 
17  17  49.359 
17  27  16.217 
17  28  26.188 
;    17  37  46.464 

17  40  58.841 
17  44  26.134 
17  48    6.608 
17  53  21.468 
17  56  48.940 

18    5  23.480 
18  17  30.123 
18  14     3.956 
18  27  35.2H2 
18  32  11.897 

18  44  54.671 
18  46  34.982 
18  50  52  058 
18  58  58.484 
19    9  26.501 

+  2.73406 
+  2.04328 
—  0.22573 
+  4.02459 
+  2.62154 

+  3.30497 
—  0.26134 
-f  2.25991 
+  3.21866 
+  2.26760 

—  0.15562 
-|-  2.53905 
+  2.94959 
+  2.98604 
—  2.31107 

-|-  2.48481 
-f  3.53431 
-f  3.47555 
+  0.12786 
+  3.13680 

+  1,79739 
-f  3.66695 
+  0.80185 
—  0.14696 
+  3.29667 

-f  6.27219 
+  2.05393 
-j-  2.83417 
-f-  2.20866 
—  6.42185 

-f  2.73286 
+  365795 
+  1.35034 
+  2.78175 
—  0.35701 

+  2.34439 

—  1,08473 
+109.01126 
+  1.39318 
-f-  3.85209 

-h  3.58601 
—  19.35124 
+  3.09920 
-4-  3.26430 
+  2.03143 

+  2.21409 
+  3.72419 
—  1.89172 
+  2.75475 
+  3.51410 

-1-6.00234 
—0.00126 
+0.12228 
+0.07274 
-  0.00007 

+0.01548 
0.10430 
0.00004 
0.01178 
0.00124 

+0.07528 
0.00239 
0.00612 
0  00653 
0.20415 

+0.00297 
0.01595 
0.01424 
0.04068 
0.00829 

+0.00515 
0.01516 
0.01848 
0.04097 
0  00787 

+0.09346 
0.00335 
O.C0438 
O.C0324 
0.30174 

+0.00316 
0.00748 
0.00515 
0.00334 
0.01095 

+0.00379. 
0.01897 
8.54270 
0,003(50 
0.00249 

+0.00101 
—0.52531 
+0.00185 
+0.00018 
+0.00104 

+0.00149 
—0.00514 
—005569 
+0.00041 
—0.00605 

—0.0790 
—0.0266 
+0.0051 
—0.4714 
—0.0025 

—0.0085 
—0.0071 
—0.0038 
—0.0067 
—0.0102 

—  O.C005 
+0.0097 
+0.0085 
+0.0091 
+0.0127 

—0.0026 
—0.0009 
—0.0018 
—0.0098 
—0.0037 

—0.0029 
—0.0001 
+0.0024 
+0.0008 
+0.0009 

—  O.OC04 
+0.0032 
—0.0219 
—0.0033 
+0.0149 

—0.0008 
—0.0004 
—0.0027 
+0.0074 
+0.0058 

—0.0249 
+0.00-22 
O.OOUO 
+0.0018 
—0.0049 

—0.0015 
+0.0289 
—0.0411 
—0.0022 
+0.0184 

+0.0004 
+0.0003 
—0.0040 
—0.0030 
—0.0022 

*  5  Ursse  Minoris      .... 
c2  (  1entauri  

*  ft  Ui  see  Minoris      .... 

(3  Librae       

"*  y2  Ursse  Minoris      .... 
a  Coronse  Borealis  .     .     .     . 
CL  Serpentis  

£  Serpentis  .                 ... 

*  £  Ursse  Minoris      .... 

e  Coronse  Borealis  .... 
(5  Scorpii      

/^Scorpii 

*       Groornbridge  2320    .     .     . 
6  Opiiiuclii  ...... 

T  Herculis    

a  Scorpii,  (Antares)     . 
rj  Dracouis  

£  Ophiuchi  .     .                 . 

*  a  Trianguli  Australis  . 
7}  Herculis   

K  Ophiuchi  

*  e  Ursse  Minoris      .... 

44  Ophiuchi  .      .      .      .      .      . 

3  r)raconis  .     . 

•JL  Herculis    

y2  Sao'ittarii        ...           . 

*  6  Ursos  Minoris      .... 

1  Aquilse,  (3  H.  Scuti)      .     . 
a  Lyres,  (Kc^a)      .... 

8  Lvrse  . 

(T  Sagittarii  .      .      . 

*50  Draconis  .      .      . 

Circumpolar  Stars. 


SPECIAL  TABLES. 


73 


TABLE  XXI.—  Mean  Declinations  of  Standard  Stars  for  1860.0. 

Star's  name. 

Declination. 

An.Variation. 

Sec.  Variation. 

Prop.  Motion. 

Authority. 

o       /     // 
+19  54  47.55 
-f-52  29  57.51 
4-76  19    5.03 
—60  15    8.84 
-f27  39  59.41 

—15  27  26.23 
+74  43  38.57 
+40  56  40.72 
—  8  51  48.10 
-f  37  52  12.68 

+72  19  56.11 
+27  11  17.90 
+  6  52    8.21 
+  4  54    7.07 
+78  13  23.82 

+27  17    9.14 
—22  13    9.85 
—19  25    7.65 
+68  10  44.98 
—  3  19  49.73 

+46  38  54.90 
—26    7    2.57 
+61  49  54.59 
+69    4  15.40 
—10  16  47.33 

—68  45  50.10 
+39  11  27.23 
+  9  35  45.26 
+33  46  24.79 
+82  15  41.05 

+14  33  11.01 
—24    2  31.07 
+52  24  22.98 
+12  39  54.60 
+68  49  18.76 

+27  48  19.08 
+72  12  59.31 
—89  16  40.42 
+51  30  24.48 
—30  25  16.86 

—21    5  28.68 
+86  36    6.98 
—  2  55  53.48 
—  8  20  17.29 
+38  39  FJ.92 

+33  12    9.00 
—26  27  58.26 
+75  15  59.  7U 
+13  39  30.42 
—19  11  51.51 

—18.9129 
16.8025 
16.0445 

15.0808 
15.3967 

15.2415 
14  7471 
14.4247 
13.5871 
128456 

12.7977 

12.3698 
11.6309 
11.1466 

10.8422 

10.6767 
10.6214 
10.2505 
9.5034 
9.6195 

8.8023 
8.4343 
8.2407 
7.7803 
7.6724 

7.4397 
7.0797 
5.9212 
5.459* 
5.1518 

4.4418 
3.7555 

2.8584 
2.9676 
J.  6499 

2.3*59 
1.6-220 
1.0400 
0.6181 
—  0.4984 

+  0.4743 
1.5733 
0.5603 
2.0989 
3.0924 

3.8926 
3.9.*64 
4.4729 
5.0185 

+  6.0243 

// 
+  0.2144 
+  0.1762 
—  0.0125 
+  0.3329 
+  0.2502 

+  0.3206 
—  0.0203 
+  0.2355 
+  0.3509 
+  0.2571 

—  0.0120 
+  0.2989 
+  0.3555 
+  0.3667 
—  0.2774 

+  0.3115 
0.4417 
0.4401 
0.0194 
0.4067 

+  0.2387 
+  0.4892 
+  0.1103 
—  0.0163 
+  0.4470 

+  0.8541 
+  0.2840 
+  0.3944 
+  0.3118 

—  0.9009 

+  0.3903 
+  0.5261 
+  0.1958 
+  0.4041 
—  0.0501 

+  0.3379 
—  0.1570 

+15.8781 
+  0.2020 
+  0.5G10 

+  05224 
—  2,8099 
+  0.4447 
+  0.4713 

+  0.2948 

+  0.3151 
+  0.5304 
—  0.2714 

+  0.3861) 
+  0.4863 

—1.9643 
—0.3953 
—0.0200 
+0.8-232 
+0.0300 

—0.0561 
—0.0290 
—0.0390 
—0.0041 
+0.0993 

+0.0280 
.—0.0750 
+O.U598 
+0,0801 
—0.0029 

—0.0336 
+0.0018 
—0.0189 
+0.0699 
—0.1277 

+0.0263 
—0.0244 
'  +0.0679 
+0.0340 
+U.0468 

—0.0796 
—0.0641 
+0.0227 
+0.0315 
+0.0011 

+0.0472 
—0.0853 
—  0.0041 
—0.2143 
+0.2920 

—0.7234 
—0/2610 
0.04)00 
—0.0369 
—0.2202 

+0.0026 
+0.0432 
—06698 
—0.3095 
+0.2839 

.  -^0.0125 
—0.0621 

+0.0580 
—  0  0855 
+0.0401 

Gould. 

i< 

Brit.  N.  A.  ,1848. 
Gould. 

< 

t 
i 

4 
(( 

M 

it 
ti 

(i 
it 

Hill. 
Gould. 
"                   \ 

ii 

HilL 
Gouid 

Brit.  N.  A.,  1848. 
Gould. 

M 
U 

Hill. 

Gould, 
i. 

d 

Brit.  N.  A.,  1318. 
WoliVrs. 
Gouid. 

M 

d 

M 

n 
tl 

n 
II 

it 

5  Ursre  Minoris 
a-  Centauri       .... 

j3  Ursse  Minoris     . 
/3  Bootis           .... 

3  LibnG           .... 

y-  UrssB  Minoris     . 
a  Coronec  Borealis     .     . 
a  Serpentis      .... 
e   Serpentis      .... 
C  Ursoe  Minoris     . 

e  Coronse  Borealis 
6  Scorpii    

/3l  Scorpii    .            ... 

Grooinbridge  2320  . 
6  Ophiuchi       .... 

T  Herculis  

a  Scorpii    

7}  Draconis       .... 
A  Draconis      . 
£  Ophiuchi      .... 

a  TriaDguli  Australis 
i]  Herculis*     .... 

K  Ophiuchi      
d  Herculis  

e  Ursae  Minoris     .     .     . 
a1  Hercnlis  

44  Ophiuchi      .... 
(3  Draconis       .... 
a  Ophiuchi      .... 
u  Draconis      .... 

fj,  Herculis  

Y'1  Draconis      .... 

y  Draconis      .... 
y-Sagittarii 

/flSagittarii      .     .     .     . 
<5  Ursae  Minoris    . 
;;  Serpfntis      .... 

3  LvraB       .     .      . 

a  Sagittani      .... 
50  DracoTiis       .... 

d  Sagittarii      .... 

SPECIAL  TABLES. 


TABLE  III.—  Mean  Right  Ascensions  of  Standard  Stars  for  1SGO.O. 

Star's  name. 

Mag. 

Right  Ascension. 

An.  Variation. 

Sec.  Variatian. 

Prop.  Motion. 

3 
5 
3.4 
5 
3 

1.2 
4 
4 
6.5 
6.7 

3.4 
4.5 
2 
5 
4 

6.7 
2.1 
5.4 
4 

6 

5.6 
3 
3.2 
4.5 
3 

3 
5.4 
2.3 
5 
5 

6.7 
3 
2 
4.5 
5.4 

4.3 
5.6 
3.4 
4.3 
4 

1.2 
2 
6.5 
4.5 
4.5 

34 
7 
4 

h    m      s 
19  12  30.754 
19  18  13.278 
19  18  26.314 
19  29  21.465 
19  39  36.205 

19  43  57.103 
19  48  26.146 
19  48  37.643 
19  57  17.998 
20    3  53.941 

20  10  17.032 
20  13  31.937 
20  14  33.200 
20  19  18.236 
20  26  31.431 

20  30  34.967 
20  36  39.578 
20  45    5.967 
20  51  57.277 
20  53  48.777 

21     0  37.437 
21     6  58.728 
21  15  14.138 
21  15  36.799 
21  24  11.185 

21  26  50.335 
21  30  17.778 
21  37  18.600 
21  39  51.457 
31  45  39.575 

21  51     7.560 
21  58  35.522 
21  59  23.576 
22    9  26.6-28 
22  18    7.C89 

22  28    9.680 
22  29  48.070 
22  34  28.790 
22  44  42.244 
22  45  18.502 

22  49  54.422 
22  57  47.3:^ 
23  12  53.525 
23  20  52.012 
23  32  45.061 

23  33  37.821 
23  48    3.644 
2o  52    7.4-^7 

4-  0.03629 
—  1.09981 
4-  3.02470 
4-  3.23085 
-f  2.85292 

4-  2.92851 
4-  2.94711 
—  0.16643 
4-  2.93359 
—56.17110 

4-  3.33419 
—  1.87463 

4-  4.80157 
4-  3.44277 
-f  2.86610 

—  0.2C019 
4-  2.04369 
4-  3.24122 
-j-  2.23340 
—  2.45812 

4-  2.68531 
2.54973 
1.43812 

2.77387 
3.16505 

4-  0.80412 
3.199;]0 
2.94799 
0.91  065 
3.28073 

4-  0.74280 
3.08423 
3.81920 
3.17142 
3.06565 

4-  3.08399 
1.08725 
2.98812 
2.11526 
3.13219 

-f  3.33190 

2.98386 
2.43193 
3.04044 
3.08425 

4-  2.39398 
2.8P,893 
+  3.07756 

—  0.02301 
0.05829 
0.00182 
0.00438 
0.00103 

—  0.00182 
0.00144 
0.04326 
0.00201 
29.83668 

—  0.00847 
0.  16370 
0.05914 
0.01148 
0.00127 

—  0.06643 
4-  0.00216 
—  0.00826 
-f  0.00368 
—  0.30440 

4-  0.01494 

4-  0.00388 
—  0.00630 
-f  0.00183 

—  0.00717 

—  0.03379 
0.00824 
0.00059 
0.03188 
0.01136 

—  0.04568 
0.004^3 
0.04601 

O.(j07(58 
0.00284 

—  0.00316 
—  0.03295 
-f-  0.00220 
-f  0.02204 
—  0.00640 

—  0  02126 

-f  0.00558 
-j-  0.04!'48- 
-j-  0.00-257 
-j-  0.(JU'jy9 

-f  0.07122 

+  0.08750 
-j-  O.OU466 

-I-0.0192 

—0.0204 
-f  0.0  152 

—  0.0003 
4-0.0008 

4-0.0362 
4-0.0015 
4-0.0144 
4-0.0024 
—0.0731 

4-0.0026 
4-0.0025 
4-0.0037 
0.0000  ' 
—0.0006 

—0.0028 
4-0.0005 
4-0.  CO  10 
-fO.OOOC 
—0.0115 

4-0.3516 
—  O.CC06 
4-0.0217 
4-0.01  '81 

4-0.0020 

4-0.0018 
4-O.OC62 
4-O.C028 
4-0.0265 
4-0.0215 

4-0.0083 
4-O.OOC5 
4-0.0108 

4-0.0070 
4-0.1004 

4-0.0044 
—0.0014 
4-0.0030 
—  O.t'116 
—  0.01)24 

4-0.0241 
4-0  0043 
4-0.0138 
—0.0092 
4-O.U258 

—0.0209 
4-0.0040 

4-0.0105 

a  Aquiise,  (Altair} 
3  AouilsB     ...... 

*     'A  Ursse  Miuoris     .... 

*     K  Cephei      

a  Pavonis    

*        Groombridge3241     .     .     . 

it  Aouarii     

i>  Cyjrui            

*         12  Year  Cat.  1879    .     .     . 
61  Cverii  (vr  )    . 

C  Cvefci. 

1  Pcgjisi       

*    ft  Cephei      ...... 

*  11  Cepbei      

u,  Cspricorni      .           .     . 

*  79  Draconis  

*226  Cephei  (B.)    

f  Pegasi      

*     t   Cephei      

a  Pis.  Aus.  (Fomalhaut)  .     . 
a  Pcgasi,  (Markab) 
*     o  Cephei      

*        Groombridge  4163    .     .     . 

'  Circumpolar  Stare. 


SPECIAL  TABLES. 


75 


TABLE  III.—  Mean  Declinations  of  Standard  Stars  for  18CO.O. 

Star's  name. 

Declination. 

An.Variation. 

Sec.  Variation. 

Prop.  Motion. 

Authority. 

6  Draconis       .... 
r  Dracouis       .... 

0          1        II 

+  67  24  54.74 
+73    5  39.37 
+  2  50  20.12 
—  7  20    6,31 
+10  16  29.87 

+  8  30    5.50 
+  63  36.04 
+69  54  39.75 
+  6  53    8.85 
+88  53  24.30 

—12  58  32.33 
+77  17  15.90 
—57  10  44.68 
—  18  40    2.24 
+10  49  48.03 

+72    3  25.94 
+44  46  53.99 
—  9  30  20.63 
+40  37  48.25 
+80     1  29.66 

+38    3  47.00 
+29  39  16.46 
+61  59  34.99 
+19  12  27.68 
—  6  11     5.07 

+69  56  47.01 
—  8  28  47.43 
+  9  14    6.25 
+70  40     1.56 
—14  12  30  51 

+73    2  24.79 
—  0  59  53.78 
—47  38  11.73 

—  8  28  43.64 
+  0  40    6.26 

—  0  50  15.96 
+75  30  18.15 
+10    6    6.56 
+65  27  52.60 
—  8  19  24.06 

—30  21  46.91 
+14  27  10.67 
+67  20  44.36 
+  5  36  38.53 
+  4  52    4.65 

+76  51    4.05 
+73  37  52.29 
+  65  18.21 

+  6.3082 

6.8107 
6.8249 
7.6445 

8.4508 

9.1685 

8.6686 
9.1500 
9.8419 
10.3231 

10.8105 
11.0342 
11.0791 
11.4237 
11.9166 

12.2275 
12.6621 
13.2103 
13.6878 
13.7443 

17.4619 
14.5501 
15.0941 
15.2009 
15.6040 

15.7032 
15.9101 
16.3005 
16.4935 
16.7389 

16.9584 
17.3024 
17.1610 
17.7559 
18.1191 

18.4168 
18.5122 

18.6822 
18.8418 
19.C524 

18.9692 
19.3005 
19.6143 
19.7377 
19.4785 

20  0709 
19.9983 
+19.9416 

a 
+0.0050 
—0.1467 
+0.4147 
+0.4325 
+0.3739 

+0.3849 
+0  3789 
—0.0237 
+0.3691 
—7.0463 

+0.4055 
—0.2328 
+0.5806 
+0.4073 
+0.3303 

—0.0287 
+0.2256 
+0.3497 
+0.2323 
—0.2674 

+0.2997 
0.2485 
0.1310 
0.2619 

0.2837 

+0.0661 
0.2772 
0.2439 
0.0714 
0.2591 

+0.0511 
0.2199 
0.2748 
O.V074 
0.1845 

+0.1679 
0.0528 
0.1510 
0.0908 
0.1379 

+0.1392 
0.1085 
0.0644 
0.0666 
0.0452 

+0.0312 
0.0129 
+0.0069 

it 

+0.0681 
+0.0978 
+0.0934 
+0.0218 
+0.0064 

+0.3804 
—0.4704 
—0.0039 
+0.0194 
+0.0013 

+0.0137 
—0.0010 
-0.0306 
—0.0297 
—0.0197 

—0.0220 
—0.0041 
—0.0198 
+0.0128 
—0.0491 

+3.2420 
—0.0564 
+0.0020 
+0.0869 
+0.0077 

—0.0380 
—0.0167 
+0  0082 
+0.0721 
+0.0312 

—0.0090 
—0.0042 
—0.1810 
—0.0111 
+0.0025 

—0.0499 
—0.0100 
+0.0068 
—0.1410 
+0.0526 

—0.1556 
—0.0206 
—0.0190 
—0.0261 
—0.4355 

+0.1480 
—0.0300 
—0.1020 

Gould. 

it 
it 
11 

ii 
ii 
ii 

1C 

ii 
II 

Brit.  N.  A.,  1848. 
Gould. 

ii 

it 

14 
<l 

Hill. 
Gould. 
Wolfers. 
Gould. 

i« 

ii 
it 
it 

ii 
ii 

Brit.  N.  A..  1848 
Gould. 

H 

Ii 
.< 

II 
II 

M 

li 

ii 
11 
i< 
ti 

ii 

it 

o  Aquilae    ..... 

3  Aouilaj         .... 

e   Dracouis       .... 

X  Ursse  Minoris    . 

a2  Capricorn!    .... 
K  Cephei     

TT  Capricorn!   .... 
e   Delphini  

Groombridge  3241  .     . 

fj,  Aquarii   . 

v  Cygui     

12  Year  Cat.  1879  .     . 
61  Cygni(pr.)  .... 

1  Pegasi     ... 

3  Aquarii  

3  Cephei    

£  Aquarii  .     .     . 

fj.  Capricorn!    .... 
79  Draconis       .... 

a  Gruis       .           ... 
6  Aquarii   

T?  Aquarii   

226  Cephei     

/„  Aquarii   

o  Cephei    

7  Cephei          .... 
Groombridge  4163  . 

SPECIAL  TABLES. 


TABLE  XXII.—  Mean  Right  Ascensions  of  Standard  Stars,  1865—1872. 

Star's  name. 

1865. 

1866. 

1867. 

1868. 

1869. 

1870. 

1871. 

1872. 

h    m      8 

8 

s 

g 

8 

s 

8 

8 

a  Andrornedae  . 

0     1  24.858 

27.945 

31.032 

34.119 

37.207 

40.294 

43.382 

46.469 

7  i  cgasi     .... 

0    6  17.206 

20.288 

23.370 

26.452 

29.535 

32.618 

35.700 

38.783 

*  ft  Hydri      .... 

0  18  38.294 

39.561 

42.826 

4S.OS9 

49.351 

52.612 

55.870 

59.128 

a  Cdssiopea?    . 

0  32  51.870 

55.231 

58.593 

61.955 

65.318 

68.681 

72.045 

75409 

*21  C'afisiopese    . 

0  38  47.263 

51.082 

54.903 

58.725 

62.549 

66.375 

70.202 

74.031 

ft  Ceti    ..... 

0  36  48.671 

51.685 

54.699 

57.713 

60.727 

63.740 

66.754 

69.767 

e   Piscium  .... 

0  55  56.337 

59.445 

62.554 

65.662 

68.770 

71.879 

74.987 

78.096 

*  a  Ursschl'm.,  (Polaris) 

9  38.747 

58.256 

77.902 

97.686 

117.609 

137.673 

157.880 

178.231 

61  Ceti 

17  16.556 

19.554 

22.551 

25.549 

28.546 

31.544 

34  542 

37539 

*38  Cassiopese    . 

21  13.9J5 

18.258 

22.603 

26.949 

31.297 

35.646 

39.996 

44.348 

?/  Piscium  .... 

24  15.734 

18.933 

22.130 

25.329 

28.527. 

31.727 

34.925 

38.125 

a  Eridani,  (Achernar) 

32  40,849 

43.085 

45.320 

47.555 

49.789 

52.024 

54.259 

56.494 

o  Piscium  .... 

38  16.105 

19.266 

22.427 

25.588 

28.749 

31.911 

35.072 

38.234 

/5'  Arietis     .... 

47  11.235 

14.534 

17.834 

21.134 

24  434 

27.734 

31.034 

34.335 

*50  Cassiopese    . 

51  58.123 

63.069 

68.057 

73.027 

77.999. 

82.973 

87.949 

92.927 

;     a  Arietis     .... 

1  59  34.116 

37.483 

40.850 

44.217 

47.584 

50.952 

54.319 

57  687 

'    £lCeti               .-  '  . 

2    5  50.820 

53.989 

57.167 

60.326 

63.495 

66.664 

69.833 

73.002 

i*  i  Cassiopece    .     .     . 

2  17  58.'  987 

63^818 

68!  650 

73.484 

78.318 

83]  154 

87.992 

92.831 

y  Ceti    ..... 

2  36  18.474 

21.576 

24.678 

27.780 

30.882 

33.985 

37.087 

40.189 

!     a  Ceti     -'     . 

2  55  13.496 

16.624 

19.752 

22.880 

26.009 

29.138 

32.266 

35.395 

:*48  Cephei,  (H)  .     .     . 

3    3  18  581 

26.904 

33.230 

40.559 

47.892 

55.229 

62  569 

69.912  j 

£  Arietis     .... 

3    7    8.778 

12.214 

15.650 

19.086 

22.522 

25.959 

29.395 

32.832  i 

:     a  Persei      .... 

3  14  41.900 

46.145 

50.390 

54.635 

58.881 

63.128 

67.375 

71.622J 

\    <5  Persei      .... 

3  33  19.385 

23.622 

27.859 

32.097 

36.335 

40.573 

44.812 

49.051  i 

77  Tauri      .... 

3  39  27.828 

31.381 

34.934 

38.487 

42.040 

45.594 

49.147 

52.701 

3  45  39  096 

42.851 

46.606 

50.361 

54.116 

57.872 

61.628 

65  384 

i     71  Eridani   .... 

3  51  43.899 

46.695 

49.491 

52.287 

55.084 

57.881 

60.677 

63  474  i 

7  Tauri       .... 

4  12    6.799 

10.206 

13.612 

17.019 

20.426 

23.833 

27.240 

30.647  j 

i     e  Tauri       .... 

4  20  44.180 

47.675 

51.170 

54.665 

58.160 

61.655 

65.150 

68.646 

i     a  Tauri,  (Atdcbaran)  . 

4  28  10.615 

14.050 

17.485 

20.921 

24.356 

27.792 

31.227 

34.663 

*  9  Camelopardalis. 

4  40  38.896 

44.805 

50.714 

56.624 

62.534 

68.446 

74.358 

80.270 

i    i   Aurigse   .... 

4  48  12.339 

16.235 

20.130 

24.026 

27.922 

31.819 

35.715 

39.612 

4  56  51.450 

54.874 

58.299 

61.724 

65,148 

68.573 

71.998 

75.423  1 

a  AurigfE,  (Capella}  . 

5    6  43.223 

47.644 

52^066 

56.487 

60.909 

65.331 

.69.753 

74  175 

i    ft  Orionis,  (Rig  el) 

5    8    3.053 

5.934 

8.814 

11.695 

14.575 

17.456 

20.337 

23.217 

ft  Tauri  .... 

5  17  45.577 

49.364 

53.  1  5  1 

56.938 

60.725 

64.513 

68.300 

72.088 

Groombridge  966 

5  21  41.761 

49^744 

57.727 

65.711 

73.696 

81.682 

89.668 

97.655 

j    '5  Orionis    .... 

5  25    6.655 

9.719 

12.782 

15.846 

18.910 

21.974 

25.038 

28.1<;2 

I     a  Leporis    .... 

5  26  46.651 

49.297 

51.943 

54.589 

57.236 

59  882 

62,528 

65.175 

E  Orionis    .... 

5  29  21.845 

24.887 

27.928 

30.970 

34.012  i    37.054 

40.096 

43.138 

a  Columbse      .     . 

5  34  45.719 

47.891 

50.063 

52.235 

54.408!    56.580 

58.752 

(JO  924 

a  Orionis    .... 

5  47  51.835 

55.082 

58.328 

01.575 

64.822  |    68.069 

71.316 

74562 

*22  Camelopardalis,(H.) 

6    3  57.744 

64.3631    70.9821    77.601 

84-220 

90.8:59 

97.458 

101.077 

i    fj.  Geminorum  .      .     . 

6  14  47.598 

51.231 

54.8(54 

58.497 

(VI  1  30 

Go.  762 

69.395 

73  028 

a  Argus,  (Canopus)    . 

6  20  57.430 

58.760 

60.090 

61.420 

62.750 

64.081 

65.411 

66.741 

y  Geminorum  . 

6  29  54.771 

58.240 

61.709 

65  178 

68.647 

72.116 

75.585 

79.C54 

*5I  Cepbei,  (H.)      .     . 

6  36  11.074 

41.496!    71.900 

102.285 

132.650    162.996 

193.322 

223.629 

a  CanisMaj.,  (Sirius) 

6  39  11.903 

14.5481    17.193 

19.838 

22.483     25.128 

27.773 

30419 

e  Cams  Majuris    . 
6  Canis  Majoris 

6  53  19.293 
7    2  54.196 

21.651 
56.636 

24.010 

59.075 

26.368 
61.515 

28.727 
63.954 

31.085 
60.394 

33.444 

68.834 

35.802 
71.273 

Circumpolar  Slats. 


SPECIAL  TABLES. 


TABLE  XXII.-Mean  Declinations  of  Standard  Stars,  1865-187^  %' 

^?£s*^L  ^-K  * 

' 

LJ4l%^ 

1865. 

1866. 

1867. 

1868.             1869. 

1870. 

0         t         tl 

/        n 

/     // 

*     // 

/        n 

,     „ 

,     n 

*           M 

+28  20  42  64 

21     254 

21  22.45 

21  4235 

22    2.26 

22  22.16 

22  42.07 

23     1.97 

+  14  25  59.09 

26  19.13 

26  39.18 

26  59.23 

27  19.28 

27  39.32 

27  59.37 

28  19,42 

—  77  60  55.08 

60  35.43 

60  15.18 

59  54.93 

59  34.68 

59  14.43 

58  54.18 

58  33.93 

+55  47  47.03 

48    6.83 

48  26.64 

48  46.44 

49    6.25 

49  26.05 

49  45.85 

50    5.65 

+74  14  56.43 

15  16.17 

15  35.91 

15  55,64 

16  15.38 

16  3511 

16  54.84 

17  14.57 

—18  43  40.89 

43  21.05 

43     122 

42  41.38 

42  21.55 

42     1.72 

41  41.83 

41  22.05 

i   +  7    9  45.67 

10    5.15 

10  24.64 

10  44.12 

11     3.60 

11  23.08 

11  42.56 

12    2.04  i 

i   +88  35  22  88 

35  42.01 

36     1.14 

36  20,25 

36  39  36 

36  58.46 

37  17.55 

37  36.63 

i   —  8  52  511.22 

52  31.49 

52  12.76 

51  54.03 

51  35.30 

51  16.57 

50  57.85 

50  39.13  ; 

+69  34    5.71 

34  24.44 

34  43.16 

35     1.89 

35  20.61 

35  39.33 

35  58.04 

36  16,76  ! 

+  14  38  56.56 

39  15.29 

39  34  02 

39  52.75 

40  11.47 

40  30.20 

40  48.92 

41     7.65  i 

-57  55  23.62 

55    5.19 

54  46.77 

54  28.35 

54     9.93 

53  51.50 

53  33.08 

53  14.66 

+  8  28  37.71 

28  55.98 

29  14  26 

29  32.53 

29  50.80 

30    9.07 

30  27.34 

30  45.60  | 

i    +20    8  49.05 

9    6.86 

9  24.67 

0  42.47 

10    0.27 

10  1806 

10  35.86 

10  53.65  i 

+71  45  55.86 

46  13.57 

46  31.27 

46  48.97 

47    6.67 

47  24.36 

47  42.05 

47  59.74 

+22  49  21.58 

49  38.83 

49  56.08 

50  13.33 

50  30.57 

50  47.82 

51    506 

51  22  29  ! 

+  8  12  42.91 

13    0.01 

13  17.10 

13  34.19 

13  51.23 

14     8.36 

14  25.44 

14  42.52  i 

+66  47  3330 

47  49.81 

48    6.31 

48  22.81 

48  39.31 

48  55.80 

49  12.28 

49  28.77  i 

!    +  2  39  54  70 

40  10.12 

40  25.53 

40  40.94 

40  56.34 

41   11.75 

41  27.15 

41  42.54  ; 

+  3  33  29.25 

33  43.64 

33  58.0  1^ 

34  12.39 

34  26.76 

34  41.13 

34  55.50 

35    9.86  ; 

+77  13  59.49 

14  13.40 

14  27.30 

14  41.19 

14  55.07 

15    8.95 

15  22.81 

15  36.68  ] 

+20  32  31.61 

32  45.28 

32  58.95 

33  12.62 

33  26  28 

33  3994 

33  53.59 

34    7.24 

+49  22  39.18 

22  52.37 

23    5.57 

23  18.76 

23  31.94 

23  45.12 

23  58.29 

24  11.46 

i    +47  21     8.99 

21  20.91 

21  32.83 

21  44.75 

21  56.66 

22    8.56 

22  20.46 

22  32  35 

+23  41    6.21 

41  17.70 

41  29.19 

41  40.68 

41  52.15 

42    3.63 

42  15.10 

42  26.56 

+31  28  47.37 

28  58.44 

29    9.51 

29  20.57 

29  31.62 

29  42.67 

29  5372 

30    4.76 

—13  53  40.07 

53  29.52 

53  18.96 

53    8.41 

52  57.87 

52  47.32 

52  36.78 

52  26.25 

+15  17  56.40 

18    5.49 

18  14.58 

18  23.66 

18  32.74 

18  41.81 

18  50.88 

18  C9.95 

+18  52  41.83 

52  50.24 

52  58.64 

53    7.04 

53  15.43 

53  23.82 

53  32.20 

53  40.58 

+16  14    6.63 

14  14.28 

14  21.93 

14  29.57 

14  37.21 

14  44.85 

14  52.48 

15    0.10 

+66    6  29.56 

6  36.37 

6  43.17 

6  49.96 

6  5675 

7    3.53 

7  10.30 

7  17.06 

i   +32  56  56.68 

57    2.85 

57    9.01 

57  15.16 

57  21.31 

57  27.45 

57  33.59 

57  39.73 

:    +15  12  47.56 

12  53.00 

12  58.44 

13    3.88 

13    9.30 

13  14.73 

13  20.14 

13  25.56 

+  15  51  24.11 

51  28.31 

51  32.49 

51  36.67 

51  40.85 

51  45.02 

51  49.18 

51  53  33 

—  8  21  36.39 

21  31.88 

21  27.38 

21  22.89 

21  18.39 

21  13.90 

21    9.42 

21     4.94 

+28  29  24.00 

29  27.50 

29  31.00 

29  34.49 

29  37.97 

29  41.45 

29  44.92 

29  48.39 

+74  56  48.82 

56  52.14 

56  55.46 

56  58.77 

57    2.06 

57    5.34 

57     8>62 

57  11.88 

—  0  24    6.74 

24    3.71 

24    0.69 

23  57.67 

23  54.65 

23  51.64 

23  48.63 

23  45.63 

—17  55  16.20 

55  13.23 

55  10.36 

55    7.44 

55    4.54 

55     1.63 

54  58.73 

54  55.83 

—  1  17  27.03 

17  24.35 

17  21.68 

17  19.02 

17  16.36 

17  13.70 

17  11.05 

17    8.40  ! 

-34    8  51  86 

8  49.68 

8  47.50 

8  45.33 

8  43.16 

8  40.99 

8  33.82 

8  36.66 

+  7  22  44.39 

22  45.46 

22  46.54 

22  47.61 

22  48.67 

22  49.72 

22  50.78 

22  51.>3 

+69  21  40  62 

21  40.16 

21  39.69 

21  39.21 

21  38.72 

21  33.23       21  37.72 

21  37.  2<! 

!    +22  34  47.07 

34  4o.66 

34  44.25 

34  42.84 

34  41.42 

34  40.00 

34  3H.57 

34  37.13 

—52  37  22.87 

37  24.70 

37  26.54 

37  23.37 

37  30.21 

37  32.05 

37  33.89 

37  35.73 

+  16  30  41.69 

30  39.C5 

30  36.41 

30  33.76 

30  31.10 

30  28  44       30  25.78 

30  23.11 

+87  14  38.59 

14  3537 

14  32.11 

14  28.80 

14  25.45 

14  22.05 

14  18.61 

14  15.13 

—16  31  5U.22 

32    385 

32    8.48 

32  13.11 

32  17.74 

32  22.:',- 

32  27.02 

32  31.67 

—28  47  25.28       47  29.90 

47  34.52 

47  39.15 

47  43.78 

47  48.42       47  53.06 

47  57.70 

—26  10  50.08 

10  55.48 

11     0.89 

11     6.29 

11  11  70 

11  17.12        11  22.53 

11  27.95 

78 


SPECIAL  TABLES. 


TABLE  XXII.—  Mean  Right  Ascensions  of  Standard  Stars,  1865—  18  W. 

Star's  name. 

1865. 

1866. 

1867. 

1868. 

1869. 

1870. 

1871. 

1872. 

h    m      8 

g 

s 

8 

s 

8 

8 

s 

rf  Geminorum  . 

7  12    3.526 

7.117 

10.708 

14.299 

17.890 

21.481 

25.072 

28.663 

*       Piazzi  vii.  67 

7  16  48.272 

54.591 

60.909 

67.226 

73.542 

79.857 

86.172 

92.486 

a  Geminor.  (Castor)  . 

7  25  58.652 

62.492 

66.332 

70.172 

74.011 

77.851 

81.690 

85.529 

a  Can.  Min.  (Procyon) 

7  32  14.096 

17.242 

20.389 

23.535 

26.682 

29.828 

32.974 

36.120 

ft  Geminor.  (Pollux}  . 

7  37    3.093 

6.776 

10.458 

14.140 

17.822 

21.504 

25.186 

28.868 

<j>  Gemiiiorum  .     .     . 

7  45  13.930 

17.615 

21.300 

24.985 

28.670 

32.355 

36.039 

39.724 

*  3  Ursse  Majeris,  (H.)  . 

7  59  20.251 

26.328 

32.405 

38.480 

44.554 

50.627 

56.698 

62.769 

15  Argus,  (c)     . 

8     1  47.762 

50.318 

52.875 

55.431 

57.988 

60.544 

63.100 

65.657 

e  Hydrse    .... 

8  39  37.540 

40.725 

43.909 

47  094 

50.278 

53.463 

56.647 

59.831 

i  Ursae  Majoris     .     . 

8  49  57.011 

61.155 

65.298 

69.441 

73.583 

77.725 

81.867 

86.008 

*  a2  Ursse  Majoris    . 

8  58  28.243 

33.630 

39.015 

44.399 

49.782 

55.164 

60.544 

65.923 

K  Cancri     .... 

9    0  25.955 

29.211 

32.467 

35.723 

38.979 

42.234 

45.490 

48745 

t  Argus      .... 

9  13  28.539 

30.141 

31  742 

33.344 

34.946 

36.547 

38.149 

39.750 

*  1  Draconis,(H)    .     . 

9  17  34.432 

43.621 

52.802 

61.975 

71.140 

80.296 

89.445 

98.586 

a  Hydrao    .... 

9  210  57.207 

60.157 

63.106 

66.056 

69.006 

71.955 

74.905 

77.854 

*  d  Ursae  Majoris    . 

9  22  29.198 

34.639 

40.079 

45.517 

50.952 

56.388 

61.821 

67.252 

6  Ursae  Majoris    .     . 

9  23  48.568 

52.623 

56  677 

60.730 

64.783 

68.836 

72.888 

76.940 

e  Leonis    .... 

9  38  11.019 

14.440 

17.861 

21.282 

24.702 

28.122 

31.542 

34.962  , 

fj,  Leonis    .... 

9  45    4.794 

8.221 

11.646 

15.072 

18.498 

21.924 

25.348 

28.774 

a  Leonis,  (JRegulus)  . 

10     1  10.815 

14.019 

17.223 

20.427 

23.631 

26.834 

30.038 

33.241 

*32  Ursae  Majoris    .     . 

10    8  11.586 

16.034 

20.481 

24.927 

29.372 

33.815 

38.258 

42699 

yl  Leonis     .... 

10  12  31.533 

34.852 

38.170 

41.488 

44.806 

48.124 

51.442 

54.759  ; 

*  9  Draconis,  (H.)  .     . 

10  23  31.863 

37.193 

42.520 

47.844 

53.165 

58.483 

63.799 

69.112 

p  Leonis    .... 

10  25  42.092 

45.259 

48.425 

51.592 

54.759 

57.925 

61.092 

64.258 

77  Argus     .... 

10  39  49.818 

52.126 

54.435 

56.744 

59.053 

61.362 

63.671 

65.981  i 

I  Leonis     .... 

10  42    9.535 

12.695 

15.855 

19.015 

22.175 

25.334 

28.494 

31.653 

a  Ursae  Majoris    . 

10  55  22.207 

25.973 

29.739 

33.503 

37.267 

41.030 

44.792 

48.553 

6  Leonis     .... 

11    6  55.538 

58.741 

61.944 

65.147 

68.350 

71.552 

74.755 

77.957 

6  Crateris  .... 

11  12  35.602 

38.598 

41.593 

44.588 

47.584 

50.580 

53.576 

56.572 

T  Leonis     .... 

11  20  59.673 

62.761 

65.849 

68.937 

7*2.026 

75.114 

78.202 

81.290 

*  /I  Draconis 

11  23  21.132 

24.780 

28.427 

32.073 

35.717 

39.361 

43.003 

46.644 

v  Leonis     .... 

11  30    2.248 

5.320 

8.392 

11.464 

14.535 

17.607 

20.679 

23.751 

/3  Leonis     .... 

11  42  10.315 

13.381 

16.447 

19.513 

22.579 

25.645 

28.710 

31.776 

7  Ursae  Majoiis    . 

11  46  42.952 

46.144 

49.335 

52.526 

55.716 

58  906 

62.096 

65.285 

o  Virginis  .... 

11  58  19.919 

22.979 

26.039 

29.099 

32.158 

35.218 

38.278 

41.337 

*  4  Draconis,  (H.)  .     . 

12    5  50.271 

53.187 

56.101 

59.015 

61.927 

64.838 

67.747 

70656 

*  f3  Chumseleontis    .     . 

12  10  29.263 

32.593 

35.925 

39.259 

42.595 

45.933 

49.272 

52.613 

77  Virginis  .... 

12  13    0.001 

3.069 

6.137 

9.206 

12.274 

15.342 

18.411 

21.479 

a1  Crucis     .... 

12  19    6.384 

9.645 

12.907 

16.170 

19.434 

22.698 

25.963 

29.228 

/3  Corvi      .... 

12  27  18.053 

21.191 

24.328 

27.466 

30.603 

33.741 

36.879 

40.017 

*  K  Draconis. 

12  27  42.268 

44.873 

47.477 

50081 

52.684 

55.286 

57.889 

60490 

1*32  Camelop(H.)(/o//. 

12  48  10.292 

10.632 

10.974 

11.318 

11.665 

12.014 

12.365 

12.719 

12  Can.  Venaticorum 

12  49  42.510 

45.328 

48.146 

50.964 

53.782 

56600 

59.417 

62.235 

|    6  Virginis  . 

13    2  57.778 

60.878 

63.979 

67.079 

70.180 

73.280 

76.381 

79.481 

a  Virginis,  (Spica) 

13  18    5.075 

8.227 

11.379 

14.532 

17.684 

20.837 

23.989 

27.142 

j    C  Virginia  . 

13  27  48.970 

52  022 

55.075 

58.127 

61.179 

64.232 

67.284 

70337 

i]  Ursa;  Majoris     . 

13  42  13.113 

15.488 

17.862 

20.237 

22.612 

24.986 

27.360 

29.734 

77  Bootis 

13  48  15.436 

1S.295 

21.153 

24.012 

26.871 

29.729 

32.588 

35  44H 

|    li  Centauri.     .     . 

13  54  19.460 

23.617 

27.775 

31.934 

36.095 

40.257 

44.419 

48.582 

IV  a  Draconis 

14     0  44.152 

45.775 

47  397 

49.020 

50.643 

52.265 

53.887 

55.511 

i 

1 

1 

Circumpolar  Stars. 


SPECIAL  TABLES. 


79 


TABLE  XXII.—  Mean  Declinations  of  Standard  Stars,  1865—1872. 

1865. 

1866. 

1867. 

1868. 

1869. 

1870. 

1871. 

1872. 

O         1          II 

+22  13  40.74 

+68  44    8.85 
+32  10  52.39 
+  5  34    6.11 

+28  20  58.08 

, 
13  34.54 
44    2.17 
10  44.96 
33  57.21 
20  49.79 

13  2*.  34 
43  55.49 
10  37.53 
33  48.30 
20  41.50 

13  22.14 

43  48.80 
10  30.09 
33  39.40 
20  33.21 

/     // 
13  15.92 
43  42.10 
10  22.64 
33  30.48 
20  24.91 

/      n 

13    9.71 
43  35.39 
10  15.20 
33  21.57 
20  16.60 

13    3.49 
43  28.68 
10    7.74 
33  12.65 

20    8.29 

12  57.26 
43  21.95 
10    0.28 
33    3.72 
19  59.98 

+27    6  44.34 
+68  51  59.90 
—23  55    0.76 
+  6  54  43.81 
+48  34    8.65 

6  35.43 
51  49.91 
55  10.85 
54  30.93 
33  54.85 

6  26.52 
51  39.91 
55  20.94 
54  18.03 
33  41.03 

6  17.61 
51  29.90 
55  31.04 
54    5.14 
33  27.21 

6    8.69 
51  19.89 
55  41.14 
53  52.24 
33  13.38 

5  59.76 
51    9.86 
55  51.25 
53  39.33 
32  59.55 

5  50.84 
50  59.83 
56     1.36 
53  26.42 
32  45.71 

5  41.90 
50  49.79 
56  11.47 
53  13.51 
32  31.88 

+67  40  43.47 
+11  12  34.33 
—56  42  32.41 
+81  55    6.53 
—  8    4  29.62 

40  29.28 
12  20.64 
42  47.33 
54  51.30 
4  44.99 

40  15.09 
12    6.45 
43    2.26 
54  36.07 
5    0.37 

40    0.90 
11  52.26 
43  17.18 
54  20.83 
5  15.75 

39  46.70 
11  38.06 
43  32.10 
54    5.57 
5  31.13 

39  32.49 
11  23.  a5 
43  47.03 
53  50.31 
5  46.51 

39  18.28 
11    9.65 
44    1.96 
53  35.05 
6    1.90 

39    4.06 
10  55.44 
44  16.89 
53  19.77 
6  17.29 

+70  25  14.33 
+52  17  25.76 
+24  23  39.73 
+26  38  28.53 
+12  37  33.49 

24  58.87 
17    9.63 
23  23.38 
38  11.81 
37  16.09 

24  43.42 
16  53.50 
23    7.04 
37  55.08 
36  58.69 

24  27.95 
16  37.36 
22  50.69 
37  38.35 
36  41.29 

24  12.48 
16  21.22 
22  34.33 
37  21  61 

36  23.88 

23  57.01 
16    5.07 
22  17.98 
37    4.88 
36    6.47 

23  41.53 
15  48.92 
22     1.62 
36  48.14 
35  49.06 

23  26.04 
15  32.77 
21  45.26 
36  31.39 
35  31.65 

+65  46  47.64 
+20  31  24.29 
+76  24  23.51 
+  9  60    1.30 
—58  58  28.99 

46  29.89 
31     6.28 
24    5.17 
59  42.92 
58  47.74 

46  12.14 
30  48.26 
23  46.83 
59  24.54 
59    6.49 

45  54.38 
30  30.25 
23  28.49 
59    6.15 
59  25.23 

45  36.62 
30  12.23 
23  10.15 
58  47.76 
59  43.98 

45  18.86 
29  54.22 
22  51.80 
58  2938 
60    2.74 

45     1.09 
29  36.20 
22  33.45 
58  10.99 
60  21.49 

44  43.32 
29  18.17 
22  15.09 
57  52.60 
60  40.25 

+11  15  32.15 
+62  28  44.16 
+21  15  46.99 
—  14    2  53.36 
+  3  35  58.29 

15  13.24 
28  24.81 
15  27.35 
3  12.79 
35  38.52 

14  54.33 
28    5.46 
15    7.70 
3  32.22 
35  18.74 

14  35.42 
27  46.12 
14  48.05 
3  51.66 
34  58.97 

14  16.50 
27  26.76 
14  28.40 
4  11.09 
34  39.19 

13  57.58 
27    7.4i 
14    8.76 
4  30.53 
34  19.42 

13  39.67 
26  48.06 
13  49.11 
4  49.96 
33  59.64 

13  19.75 
26  28.70 
13  29.45 
5    9.40 
33  39.86 

+70    4  31.66 
—  0    4  42.53 
+15  19  36.74 
+54  26  43.19 
+  9  28  59.17 

4  11.80 
5    2.37 
19  16.66 
26  23.17 
28  39.17 

3  51.94 
5  22.20 
18  56.57 
26    3.15 
28  19.16 

3  32.08 
5  42.03 
18  36.48 
25  43.13 
27  59.16 

3  12.22 
6     1.86 
18  16.40 
25  23.  1  1 
27  39.15 

2  52.36 
6  21.70 
17  56.31 
25    3.09 
27  19.15 

2  32.49 
6  41.53 
17  36.22 
24  43.07 
26  59.15 

2  12.63 
7     1.36 
17  16  13 
24  23.05 
26  39.14 

+78  21  53.22 
—78  33  45.76 
+05     1.96 
—62  20  58.51 
—22  38  57.61 

21  38.17 
34    5.80 
4  41.93 
21  18.45 
39  17.56 

21  18.11 
34  25.84 
4  21.89 
21  38.38 
39  37.51 

20  58.06 
34  45.89 
4     1.86 
21  58.31 
39  57.46 

20  38.00 
35    5.93 
3  41.82 
22  18.24 
40  17.41 

20  17.95 
35  25.97 
3  21.79 
22  38.17 
40  37.36 

19  57.89 
35  46.01 
3    1.76 
22  58.11 
40  57.30 

19  37.83 
36    6.05 
2  41.72 
23  18.04 
41  17.25 

+70  31  56.74 
+84    8  47.34 
+39    2  53.51 
—  4  49    2.07 
—10  27  19.47 

31  36.81 
8  27.71 
2  33.99 
49  21.39 
27  38.39 

31  16.88 
8    8.08 
2  14.48 
49  40.71 
27  57.31 

30  56.95 
7  48.44 
1  5496 
50    0.03 
28  16.23 

30  37.02 
7  28.81 
1  35.44 
50  19.35 
28  35.14 

30  17.09 
7    9.17 
1  15.93 
50  38.67 
28  54.05 

29  57.16 
6  49.54 
0  56.41 
50  57.99 
29  12.97 

29  37.23 
6  29.91 
0  36.90 
51   17.30 
29  31.88 

+  05  44.49 
+49  59  17.02 
+19    4  33.40 
—59  43  11.23 
+64  01  17.24 

5  25.96 
58  58.91 
4  15.21 
43  28.91 
60  59.87 

5    7.43 

58  40.80 
3  57.02 
43  46.59 
60  42.50 

4  48.90 
58  22.69 
3  38.83 
44    4.26 
60  25.13 

4  30.37 
58    4.58 
3  20.65 
44  21.93 
60    7.77 

4  11.85 
57  46.47 
3    2.46 
44  39  60 
59  50.40 

3  53.33 
57  2S.36 
2  44.28 
44  57.27 
59  33.04 

3  34.80 
57  10.26 
2  26.10 
45  14.9.5 
59  15.68 

so 


SPECIAL  TABLES. 


1 

TABLE  XXII.—  Mean  Right  Ascensions  of  Standard  Stars,  1865—1872. 

' 

Star's  name. 

1865. 

1866. 

1867. 

1868. 

1869. 

1870. 

1871. 

1872. 

h    m      s 

•  8 

8 

8 

8 

8 

8 

8 

a  Boolis,  (Arcturus)  . 

14    9    30.271 

33.005 

35.739 

38.473 

41.207 

43.942 

46.676 

49.410 

0  Bootis      .      .      .      . 

14  20    36.013 

£8.056 

40.099 

42.142 

44.186 

46.229 

48.272 

50.315 

*  5  Ursse  Minoris    . 

14  27   50.913 

50.694 

50.476 

50.259 

50.044 

49.830 

49.617 

49.405 

a2Centauri. 

14  30   28.109 

32.138 

36.168 

40.198 

44.229 

48.260 

52.293 

56.326 

e   Booiis      .... 

14  39     5.495 

8.116 

10.738 

13.359 

15.981 

18.603 

21.224 

23.846 

a2  Librae      .... 

J4  43   24.870 

28.176 

31.482 

34.788 

39.094 

41.400 

44707 

48.013 

*  /?  Ursse  Minoris     . 

14  51      7.907 

7.651 

7.396 

7.143 

6.890 

6.639 

6.388 

6.139 

/3  Bootis     .... 

14  56    51.649 

53.909 

56.169 

58.429 

60.689 

62.948 

65.208 

67.468 

,3  Librae     .... 

15    9   44.737 

47.956 

51.176 

54.396 

57.615 

60.835 

64.055 

67.275 

[    jj,1  Bootis     .... 

15  19   23.486 

25.754 

28.021 

30.289 

32.557 

34.825 

37.092 

39.360 

;*  y2  Ursa3  Minoris     . 

15  20   57.974 

57.822 

57.672 

57.522 

57.372 

57.224 

57.076 

56.929 

a  Corouae  Borealis 

15  28   58.361 

60.900 

63.439 

65.978 

68.517 

71.057 

73.596 

76.135 

a  Serpentis 

15  37    37.186 

40.136 

43.086 

46.036 

48.986 

51.936 

54.886 

57.837 

e   Seipeniis 

15  44     5.310 

8.296 

11.283 

14.270 

17:257 

20.243 

23.230 

26.217 

*  s   Ursae  Minoris     . 

15  48   56.829 

54.529 

52.232 

49.936 

47.642 

45.350 

43.061 

40.773 

e  Coronae  Borealis 

15  52     0.018 

2.503 

4.988 

7.473 

9.958 

12.443 

14.928 

17.413 

6  Scorpii    .... 

15  52   21.313 

24.848 

28.384 

31.919 

35.454 

38.990 

42.526 

46.062 

#l  Scorpii     .... 

15  57    35.450 

38.926 

42.402 

45.879 

49.356 

52.833 

56.310 

59.787 

*  '    Groombridge  23^0  . 

16    5   57.809 

57.939 

58.069 

58.200 

58.331 

58.463 

58.595 

58.728 

6  Ophiucbi 

16    7    16.378 

19.515 

22.653 

25.790 

28.928 

32.065 

35.203 

38.340 

T  Hercuiis. 

16  15   40.934 

42.732 

44.530 

46.328 

48.126 

49.923 

51.721 

53.519 

a  Scorpii,  (Antares)   . 

16  21      8.070 

11.738 

15.406 

19.074 

22.742 

26.410 

30.079 

33.748 

r]  Draconis 

16  22    10.147 

10949 

11.752 

12.556 

13.359 

14.163 

14.967 

15.771 

*  A  Draconis       ... 

16  28    15.670 

15.526 

15.381 

15.237 

15.094 

14.951 

14.808 

14.666 

£  Ophiuchi 

16  29   43.647 

46.944 

50.241 

53.538 

56.836 

60.133 

63.430 

66.728 

*  a  Triarjguli  Australia. 

16  34    24  160 

30.438 

36.716 

42.995 

49.275 

55.556 

61.838 

68.121 

77  Hercuiis  .     . 

16  £8    16.119 

18.173 

20.227 

22.281 

24.336 

26.390 

28.444 

30.499 

K  Ophiuchi      . 

16  51    16.732 

19.566 

22.401 

25.236 

28.070 

30.904 

33.739 

36573 

d  Hercuiis  .     . 

16  56    37.237 

39:446 

41.655 

43.863 

46.072 

48.281 

50.490 

52.699 

*  e  UrssB  Minoris     . 

16  59   54.822 

48.416 

42.014 

35.615 

29.219 

22.826 

16.436 

10.049 

a1  Hercuiis  .... 

17    8   29.549 

32.282 

35.015 

37.748 

40.481 

43.214 

45.947 

48.681 

44  Ophiuchi 

17  18     7.650 

11.308 

14967 

18.625 

22.284 

25.942 

29  601 

33.260 

[3  Draconis 

17  27    22.969 

24.320 

£5.671 

27.021 

28.372 

29.723 

31.074 

32.425 

a  Ophiuchi 

17  28   40.097 

42.879 

45.661 

48.443 

51.2'J5 

54.007 

56.789 

59.571 

*  oj  Draconis 

17  37   44.680 

44.323 

43.967 

43.611 

43.255 

42.899 

42.543 

42.187 

//  Hercuiis.     .     . 

17  41    10564 

12.908 

15.253 

17.598 

19943 

22.287 

24.632 

26.977 

*  ^l  Draconis,  (pr.)  . 

17  44   20.7  J  3 

19.629 

18.546 

17.462 

16.379 

15.296 

14.213 

13.131 

7  Draconis 

17  53   28.434 

29  828 

31.221 

32.615 

34.008 

35.402 

36.795 

38189 

y'2Sagittarii 

17  57     8.201 

12.053 

15.905 

19.757 

23.610 

27.462 

31.314 

35.167 

*  o  Octantis.     .     .     . 

17  57    12.461 

121.744 

2'Jl  .034 

340.317 

449.580 

558.811 

667.996 

777.121 

(j>  Sagittarii 

18    5   41.410 

44.996 

48.582 

52.168 

55.754 

59.340 

62.926 

66.512 

*  6  Ursa;  M  inoris     . 

18  13173.303 

153.925   134.542 

115.154 

95.762 

76.364 

56.963 

37.558 

j)  Serpentis 

18  14    19452 

22.551 

25.651 

28.750 

31.850 

34.949 

38.048 

41.148 

1  Aquilas,  (3H  Scuti) 

18  27   51.583 

54.847 

58.112 

61.376 

64640 

67.904 

71.169 

74.433 

a  Lyra3,  (  Vega)    . 

18  32   22.054 

24.066 

26.117 

28.149 

30.180 

3^.212 

34.243 

36.275 

\ 

I 

f3  Lyrae      .... 

18  45     5.741 

7.955 

10.169 

12.383 

14.598 

16.812 

19.026 

21  240 

a  Sagittarii 

18  46   53.602 

57.326 

61.050 

64774 

68.498 

72.221 

75.945 

79.669 

*CO  Diaconis 

18  50   42.593 

40.6981    38.803 

36.907 

35.010 

33.113 

31.216 

29.318 

C  Aquilse    .... 

18  59    12.257 

15.0J2     17.767 

20.522 

23.276 

26.031 

5:8.786 

31.540 

d  Sagiltarii      ,      .      . 

19    9   44.071 

47.585 

51.098 

54.612 

58.126 

61.639 

C5.153 

68.6C6 

cCircum polar  Stara. 


SPECIAL  TABLES. 


81 


TABLE  XXII.-Mcan  Declinations  of  Standard  Stars,  1805—18:2. 

I8S5. 

1866. 

1867. 

1868. 

1869. 

1870. 

1871. 

1872. 

+19  53  13.01 
+52  28  33.51 
+76  17  44  86 
—60  16  24.20 
+27  38  42.45 

52  54.11 
28  16.72 
17  28.81 
16  39.27 

38  27.07 

52  35.21 
27  59.93 
17  12.76 
16  54.33 
38  11.69 

52  16.31 
27  43.14 
16  56.72 
17    U.38 
37  56.31 

51  57.42 
27  26.35 
16  40.67 
17  2443 
37  40.94 

/     // 
51  33.53 
27     9.57 
16  24.63 
17  39.48 
37  25.56 

i     a 
51    19.64 
26  52.78 
16     8.58 
17  54.53 
37  10.19 

/     // 
51     0.75 
26  36.00 
15  52.54 
18     956 
36  54.83 

—15  28  42.39 
+74  42  24  83 
+40  55  28  62 
—  8  52  55.99 
+37  51    8.48 

28  57.62 
42  10.08 
55  14.21 
53    9.56 
50  55.65 

29  12.84 
41  55.33 
54  59.80 
53  23.12 

50  42.82 

29  28.06 
41  40.58 
54  45.39 
53  36.68 
50  30.00 

29  43.27 
41  25.84 
54  3099 
53  50.24 
50  17.17 

29  58.48 
41  11.09 
54  16.59 
54     3.79 
50     4.35 

30  13.69 
40  56.34 
54     2.19 
54  17.35 
49  51.53 

30  28.90 
40  41.59 
53  47.79 
54  3089 
49  38.72 

+72  18  52.12 
+27  10  16.19 
+  6  51  10.10 
+  4  53  11.38 
+78  12  29.58 

18  39.32 
10    3.74 
50  58.49 
53    0.26 
12  18.72 

18  26.53 
9  51.39 
50  46.83 
52  49.13 
12    7.86 

18  13.73 
9  39.04 
50  35.28 
52  38.02 
11  57.00 

18     0.93 
9  26.70 
50  2368 
52  26.90 
11  46.13 

17  48.13 
9  14.35 
50  12.08 
52  15.79 
11  35.26 

17  35.33 
9     2.02 
50     0.49 
52     4.68 
11  24.39 

17  22.53 

8  49.68 
49  48.90 
51  53.58 
11   13.52 

+27  16  1579 

—22  14    290 
—19  25  58.84 
+68    9  57.47 
—  3  20  37.77 

16    5.13 
14  13.50 
26    9.07 
9  47.96 
20  47.37 

15  54.48 
14  24.09 
26  19.29 
9  38.46 
20  56.97 

15  43.82 
14  34.68 
26  29.51 
9  23.96 
21    6.55 

15  33.17 
14  45.27 
28  39.72 
9   19.46 
21  16.14 

15  22.53 
14  55.85 
26  49.93 
9     9.96 
21  25.72 

15  11.88 
15     6.42 
27     0.13 
9     046 
21   35.30 

15     1.24 
15  16.99 
27  10.33 
8  50.95 
21   44.87 

+46  38  10.92 
—26    7  44  68 
+61  49  13.40 
+69    3  36  50 
—10  17  25.63 

38    2.13 
7  53.09 
49    5.17 

3  28.72 
17  33.28 

37  53.34 
8     1.49 
48  56.93 
3  20.93 
17  4093 

37  44.56 
8    9.89 
43  48.70 
3  13.15 
17  48.56 

1  37  35.78 
8  18.28 
48  40.47 
3     537 
17  56.20 

37  27.00 
8  26.67 
48  32.24 
2  57.59 
18     3.83 

37  18.22 
8  35.05 
48  24.01 
2  49.81 
18  11.45 

37     9.45 
8  43.43 
48  15.78 
'  2  42.03 
18  19.07  ' 

—68  46  27.19 
+39  10  51  86 

+  9  :;r,  15.71 

+33  45  57.53 
+82  15  15.18 

46  34.58 
10  44.80 
35    9.81 
45  52.09 
15    9.98 

46  41.96 
10  37.74 
35    3.91 
45  46.65 
15    4.77 

46  49.34 
10  30.68 
34  58.02 
45  41.21 
14  59.55 

46  56.71 
10  23.62 
34  52.13 

45  35.78 
14  54.32 

47     4.07 
10  1657 
34  46.25 
45  30.35 
14  49.09 

47  11.42 
10     9.52 
34  40.37 
45  24.92 
14  43.84 

47-18.76 
10     247  1 
34  34.49 

45    19.50  ! 

14  38.58  i 

+14  32  4885 
i   —24    2  49.78 
+f>2  24    871 
+12  39  39  81 
+68  49  10.50 

32  44.43 
2  53.51 
24    5.86 
39  36.87 
49    8.85 

32  40.02 
2  57.23 
24    3.02 
39  33.93 
49    7.20 

32  35.60 
3'  0.95 
24    0.18 
39  30.99 
49    5.54 

32  31.19 
3     4.66 
23  57.33 
39  28.06 
49     3.89 

32  26.79 
3     8.37 
23  54.49 
39  25.13 
49     2.23 

32  2239 
3  12.07 
23  51  66 
39  22.20 
49     0.58 

32  17.99 
3  1576 

S3  48.82 
39  19  28  i 
48  £8.92 

+27  48    7.19 
+72  12  51.18 
+51  30  21.42 
-30  25  19.28 
—89  16  43.63 

48    4.82 
12  49.55 
30  20  81 
25  19.75 
16  43.80 

48    2.46 
12  47.92 
30  20.20 
25  20.21 
16  43.80 

48    0.10 
12  46.28 
30  19.60 
25  20.67 
16  43.65 

47  57.74 
12  44  b5 
30  1900 
25  21.12 
16  43.34 

47  55.39 
J2  43.01 
30  18.40 
25  21.57 
16  42.86 

47  53.04 
12  41.37 
30-17.81 

25  22.00 
16  42.23 

47  50.69 
12  39.73 
30  17.21  i 
25  22.44  • 
16  41.44 

—21     5  2625 
1   +86  36  14.49 
—  2  f  5  50  63 
—  8  20    6.74 
+38  39  35.42 

5  25.74 
36  15.91 
55  50.04 
20    4.62 
39  38.53 

5  25.24 
36  17.30 
55  49.45 
20    2.49 
39  41.64 

5  24.72 
36  18.66 
55  48.86 
20    0.35 
39  44.76 

5  24.20 
36  20.00 
55  4826 
19  58.21 
39  47.87 

5  23.68 
36  21.30 
55  47.66 
19  56.07 
39  51.00 

5  23  15 

36  22.58 
55"  47.05 
19  5392 
39  54.12 

5  22  62 
36  23.83 
55  46.44 
19  51.77 
39  57.25 

+33  12  28.51 
i   —26  27  38.27 
+75  16  22.03 
:    +13  39  55.56 
,   —19  11  21.33 

12  32.42 
27  34.25 
16  26.49 
40    0.60 
11  15.28 

12  36.33 
27  3023 
|     16  30.94 
40    5.65 
11     9.22 

12  40.25 
27  26.20 
16  35.39 
40  10.70 
11    3.16 

12  44.16 
27  22.17 
16  39.84 
40  1575 
10  57.09 

12  48.09 
27  18.13 
16  44.29 
40  20.80 
10  51.02 

12  52.01 
27  14.09 
16  4874 
40  25.86 
10  44.95 

12  55.94  : 
27   10.C5 
16  53.18 
40  3092 

10  38.87 

82 


SPECIAL  TABLES. 


TABLE  XXII.—  Mean  Right  Ascensions  of  Standard  Stars,  1865—1872. 

Star's  name. 

1865. 

1866. 

1867. 

1868. 

1869. 

1870. 

1871. 

1872. 

h    m      s 

e 

8 

8 

8 

s 

8 

8 

*     6  Draconis     . 

19  12   30.933 

30.968 

31.003 

31.037 

31.072 

31.106 

31.140 

31.173 

*     T  Draconis     . 

19  18     7.772 

6.669 

5.565 

4.461 

3.356 

2.251 

1.145 

0.039 

6  Aquilfe                   , 

19  18   41.437 

44.462 

47.486 

50.511 

53.535 

56.560 

59.584 

62.6(19 

K  Aquilse  .... 

19  29   37.619 

40.850 

44T080 

47.310 

50.541 

53.772 

57.002 

60.232 

7  Aquilae  .... 

19  39  50.469 

53.322 

56.175 

59.028 

61.880 

64.733 

67.586 

70.438 

a  Aquilse,  (Altair)  . 

19  44    11.745 

14.673 

17.602 

20.530 

23.459 

26.387 

29.315 

32244 

''     e  Diaconis     .      .      . 

19  48   36.806 

36.637 

36.468 

36.298 

36.128 

35.957 

35.786 

35.615 

(3  Aquilse  .... 

19  48   40.881 

43.828 

46.775 

49.722 

52.669 

55.616 

58.563 

61.510 

T  Aquilse  .... 

19  57   32.6G6 

35.599 

38.533 

41.466 

44.400 

47.333 

50.266 

53.200 

*     /I  Ursa?  Minoris  . 

19  52429.351 

371.537 

313.423 

255.009 

196.295 

137.283 

77.971 

18.360 

a2Capricorni  . 

20  10    33.702 

37.036 

40.369 

43.703 

47.037 

50.370 

53.703 

57.036 

*     K  Cephei  .... 

20  13   22  544 

20.660 

18.775 

16.888 

14.999 

13.109 

11.217 

9.324 

a  Pavonis 

20  14   57.200 

61.998 

66.795 

71.592 

76.389 

81.185 

85.980 

90.775 

TT  Capricorn!  . 

'20  19   35.448 

38.890 

42.332 

45.776 

49.217 

52.6H8 

56.100 

59.541 

e  Delphini 

20  26   45.761 

48.627 

51.493 

54.359 

57.225 

60.191 

62.957 

65.823 

*        Groombridge324l. 
a  Cygni    .... 

20  30   33.958 
20  36   49.797 

33.754 
51.841 

33.550 
53.885 

33.345 
55.928 

33.139 
57.972 

32.932 
60.016 

32.725 

62.060 

32.517 
64.104 

fj.  Aquurii. 

20  45   22.172 

25.413 

28.653 

31.894 

35.134 

38.375 

41.615 

44.855 

v  Cyjjni    .... 

20  52     8.444 

10.678 

12.911 

15.145 

17.378 

19.612 

21  846 

24.080 

*        1*  Year  Cat.  1879  . 

20  53   36.449 

33.974 

31.496 

29.015 

26.531 

24.044 

21.553 

19.060 

61  Cygni,(pr.)     .     . 

21     0   50.865 

53.552 

56.238 

58.924 

61.611 

64.298 

66.984 

69.671 

<T  Cygni   .... 

21     7    11.477 

14.027 

16.577 

19.127 

21.677 

24.227 

26.777 

29.327 

a  Cephei  .... 

21  15   21.327 

22.765 

24.203 

25.641 

27.078 

^J.5I6 

29.953 

31  391 

1  Pegasi   .... 

21  15  50.669 

53.443 

56.217 

58.991 

61.765 

64.539 

67.313 

70.087 

ft  Aquarii  .... 

21  24   27.010 

30.175 

33.340 

36.504 

39.669 

42.833 

45.997 

49.161 

*    ft  Cephei  .... 

21  26   54.351 

55.153 

55.955 

56.757 

57.558 

58359 

59.160 

59.960 

?  Aquarii       .     .     .21  30   33.773 

36.972 

40.171 

43.370 

46.568 

49.766 

52.965 

56  163 

e  Pegasi  .... 

21  37    33.340 

36.288 

39.236 

42.184 

45.132 

48.C80 

51.028 

53  976 

•  11  Cephei  .... 

21  39   56.00(5 

56.915 

57.824 

58.732 

59640 

60548 

61.455 

6-J  362 

fj.  Capricorn!  . 

21  45   55.977 

59.257 

62.5:i7 

65.817 

69097 

72377 

75.656 

78.936 

*  79  Draconis     . 

21  51    11.268 

12.008 

12.748 

13.487 

14  226 

14.965 

15.703 

16440 

a  Aquarii. 

21  58   50.942 

54  026 

57.110 

60.194 

63.278 

66.361 

69.445 

72.529 

a  Gvuis     .... 

21  59   42.666 

46.483 

50.299 

54.115 

57.930 

61.745 

65.559 

69.373 

0  Aquarii. 

22    9   42.484 

45.655 

48  826 

51.997 

55.167 

58  338 

61.509 

64.679 

TT  Aquarii             , 

22  18  22.916 

25.982 

29.047 

32.112 

35.178 

38.244 

41.309 

44.374 

77  Aquarii       .•     . 

22  28   25.100 

28.184 

31.268 

34.352 

37.436 

40.519 

43.603 

46687 

226  Cephei,  (B  )     .     . 

22  29   53  502 

54.588 

55.673 

56.758 

57.842 

58926 

60.010 

61  093 

C  Pegasi  .... 

22  34   43.731 

46.719 

49.707 

52.696 

55.684 

58.672 

61.661 

64.649 

*     t   Cephei  .     .     .      .    22  44   52  823 

54.939 

57.05ti 

59.173 

61.290 

63  407 

65.5*5 

67.643 

A  Aquarii. 

22  45   34.162 

37.294 

40.426 

43.557 

46.689 

49.820 

52.952 

56.083 

a  Pi  s  .  Ans  (  Fo  m  a  lhaut  ' 

22  50    11.079 

14.410 

17.740 

21.070 

24.400 

27.730 

31.060 

34.389 

a  Pegasi,  (Mar/cab)  .    22  58     2.259 

5243 

8227 

11.212 

14.196 

17.180 

20.165 

23.149 

*     o  Cephei  .... 

23  13     5.689 

8.1*3 

10.558 

12.993 

15.428 

17.864 

20.300 

22.737 

6  Piscium      .     '.      .    23  21      7.214 

10.x  55 

13.295 

16.336 

19.376 

22.417 

25.458 

28  499 

t   Piscium 

23  33     0.482 

3.567 

6.  651 

9.736 

12.820 

15.905 

18.989 

22074 

*    7  Cephei  .... 

23  33   49.800 

52.1H8 

54  596 

56.996 

59.396 

61.797 

64.198 

66600 

*        Groombridge4163.    23  48    17.849     20.693 

23  538 

26.383 

29  230 

32.077 

34.925 

37774 

u  i-isuum      ...    23  52   22.816     25.894  ;    28.972 

32.050 

35.128 

38.206 

41.284 

44.362 

1 

1 

Circmnpolar  Stars. 


SPECIAL  TABLES. 


S3 


TABLE  XXII.—  Mean  Declinations  of  Standard  Stars,  1865—  1812. 

1865. 

i 

1866. 

1867. 

1868. 

1869. 

1870. 

1871. 

1872. 

+67  25  26.28 
+73    6  13.41 
+  2  50  54.30 
—  7  19  28.03 
+10  17  12.17 

i     n 
25  32.59 
6  20.21 
51     1.15 
19  20.37 
17  20.64 

25  38.90 
6  27.01 
51     8.00 
19  12.69 
17  29.11 

/     // 
25  45.21 
6  33.81 
51  14.85 
19    502 
17  37.59 

/     // 
25  51.52 
6  40  61 
51  21.71 

18  57.34 
17  46.08 

/     // 
25  57.82 
6  47.40 
51  28.58 
18  49.65 
17  54.56 

26    4.13 
6  54.20 
51  35.45 
18  41.96 
18    3.05 

/     // 
26  10.44 
7    0.99 
51  42.32 
18  34.27 
18  11.55 

+  8  30  51.39 
+69  55  5i5.50 
+  64  19.43 
+  6  53  58.11 
+88  54  15.02 

31     0.58 
55  34.65 
4  28.12 
54    7.97 
54  24.95 

31     9.78 
55  43.80 
4  36.81 
54  17.84 
54  34.80 

31  18.98 
55  52-95 
4  45.51 
54  27.71 
54  44.58 

31  28.18 
56    2.09 
4  54.21 
54  37.58 
54  54.29 

31  37.38 
56  11.24 
5    2.91 
54  47.46 
55    3.92 

31  46.59 
56  20.39 
5  11.62 
54  57.34 
55  13.47 

31  55.80 
56  29.54 
5  20.33 
55    7.22 
55  22.94 

—12  57  38.22 
+77  18  11.04 
—57    9  49.21 
—18  39    5.07 
+10  50  47.81 

57  27.39 
18  22.06 
9  38.10 
38  53.63 
50  59.77 

57  16.56 
18  33.08 
9  26.99 
38  42.18 
51  11.74 

57    5.71 

18  44.10 
'  9  15.87 
38  30.72 
51  23.71 

56  54.87 
18  55.11 
9    4.74 
38  19.26 
51  35.68 

56  44.02 
19    6.13 

8  53.60 
38    7.80 
51  47.66 

56  33.17 
19  17.13 
8  42.46 
37  56.34 
51  59.64 

56  22.31 
19  28.14 
H  31.31 

37  44.87 
52  11.63 

+72    4  27.07 
+44  47  57.33 
1  —  9  29  14.54 
I  +40.38  56.72 
+80    2  o8.34 

4  39.30 
48  10.01 
29    1.31 
39  10.42 
2  52.07 

4  51.53 
48  22.68 

28  48.07 
39  24.12 
3    5.80 

5    3.75 
48  35.36 
28  34.84 
39  37.83 
3  19.52 

5  15.98 

48  48,04 
28  21.60 
39  51.53 
3  33.24 

5  28.20 
49    0.73 
28    8.35 
40    5.24 
3  46.96 

5-40.43 
49  13.41 
27  55.11 

40  18.Go 
4    0.68 

5  52.65 
49  26.10 
27  41.fc'6 
40  32.67 
4  14.39 

+38    5  14.35 

+29  40  29.24 
+62    0  50.48 
+  19  13  43.72 
—  6    9  47.01 

5  31.83 
40  43.80 
1     5.58 
13  58.93 
9  31.39 

5  49.31 
40  58.37 
1  20.68 
14  14.15 
9  15.77 

6    6.79 
41  12.94 
1  35.78 
14  29.37. 
9    0.14 

6  24.28 
41  27.51 
1  50.89 
14  44.60 
8  44.51 

6  41.77 
41  42.08 
2    6.00 
14  59.82 
8  28.88 

6  59.26 
41  56.66 
2  21.10 
15  15.05 
8  13.25 

7  16.76 
42  11.24  I 
2  36.21 

15  30.28  i 
7  57.61  i 

+69  58    5.53 
—  8  27  27.  £5 
+9  15  27.78 
+70  41  24.03 
—14  11     6.78 

58  21.24 
27  11.92 
15  44.10 
41  40.53 
10  50.03 

58  36.95 
26  56.00 
16    0.42 
41  57.03 
10  33.27 

58  52.65 
26  40.06 
16  16.73 
42  13.53 
10  16.51 

59    8.36 
26  24.13 
16  33.06 
42  30.03 
9  59.75 

59  24.07 
26    8.19 
16  49.38 
42  46.53 
9  42.99 

59  39.78 
25  52  26 
17    5.70 
43    3.03 
9  26.22 

59  55.49 
25  36.31  | 
17  22.03 
43  19.53  1 
9    9.45 

+73    3  49.58 
—  0  58  27.24 
—47  36  45.89 
—  8  27  14.83 
+  0  41  36.83 

4    6.55 

58    9.92 
36  28.72 
26  57.06 
41  54.95 

4  23.51 
57  52.60 
36  11.54 
26  39.29 
42  13.07 

4  40.47 
57  35.29 
35  54.36 
26  21.52 
42  31.19 

4  57.43 
57  17.96 
35  37.17 
26    3.75 
42  49.32 

5  14.39 
57    0.64 
35  19.98 
25  45.97 
43    7.45 

5  31.36 
56  43.32 
35    2.79 
25  28.20 
43  25.57 

5  48.32 

56  25.99 
34  45.59 
25  10.42 
43  43.70 

—  0  48  43.85 
+75  31  50.72 
+10    7  39.99 
+65  29  26.82 
—  8  17  48.78 

48  25.43 
32    9.24 
7  58.68 
29  45.66 
17  29.72 

48    7.00 
32  27.75 
8  17.37 
30    4.51 
17  10.65 

47  48.57 
32  46.27 
8  36.07 
30  23.36 
16  51.59 

47  30.14 
33    4.79 
8  54.76 
30  42.21 
16  32.53 

47  11.71 
33  23.30 
9  13.46 
31     1.06 
16  13.46 

46  53.27 
33  41.82 
9  32.16 
31  19.91 
15  54.40 

46  34.83 
34    0.34 
9  50.86 
31  38.76 
15  35.33 

—30  20  12.05 
+  14  28  47.  18 
i   +67  22  22.44 
+  5  38  17.23 
;  +  4  53  42.04 

19  53.07 
29    6.49 
22  42.06 
38  36.97 
54    1.53 

19  34.09 
29  25.80 
23     1.68 
38  56.71 
54  21.01 

19  15.11 
29  45.11 
23  21.30 
39  16.45 
54  40.49 

18  56.13 
30    4.42 
23  40.92 
39  36.20 
54  59.97 

18  37.15 
30  23.73 
24    0.54 
39  55.94 
55  19.45 

18  18.17 
30  43.04 
24  20.16 
40  15.69 
55  38.94 

17  59.18 
31     2.35 
24  39.78 
40  35.43 
55  58.42 

+76  52  44.41 

,  +73  39  32.28 
+  66  57.92 

53    4.48 
39  52.28 
7  17.86 

53  24.55 
40  12.28 
7  37.80 

53  44.63 
40  32.28 
7  57.74 

54    4.70 
40  52.28 

8  17.68 

54  24.77 
41  12.28 

8  37.63 

54  44.85 
41  32.28 
8  57.57 

55    4.92 
41  52.28 
9  17.51 

SPECIAL  TABLES. 


TABLE  XXIII.—  Mean  Right  Ascensions  of  Standard  Stars,  1873—1880. 

Star's  name. 

1873. 

1874. 

1 
1875. 

1876. 

1877. 

1878. 

1879. 

1880. 

h    m      s 

s 

8 

_ 

8 

s 

H 

g 

a  Andromedse. 

0     1  49.557 

52.645 

55.734 

58.822 

61.911 

65.000 

68.089 

71.178 

7  Pesrasi     .... 

0    6  41.866 

44.949 

48.032 

51.115 

54.198 

57.282 

60.365 

63.449 

.*  (3  Hydri     .... 

0  19    2.384 

5.638 

8.890 

12.141 

15.391 

18.638 

21.885 

25.129 

a  Cn.ssiopesc    . 

0  33  18.774 

22.140 

25.506 

28.872 

32.239 

35.607 

38.975 

42.344 

8  Ceti      '                .      . 

0  37  12.781 

15.794 

18.807 

21.820 

24.834 

27.847 

30.860 

33.873 

*21  Cnssiopese    . 

0  37  17.861 

21.693 

25.527 

29.361 

33.198 

37.038 

40.876 

44.717 

e  Piscium  .... 

0  56  21.205 

24.314 

27.423 

30.532 

33.641 

36.751 

39.860 

42.970 

,*  a  Ursra  Min.  (Polaris) 

1  12  18.728 

39.372 

60.165 

81.109 

102.205 

123.455 

144.861 

166.424 

1     Ol  Ceti    

1  17  40.537 

43.535 

46.533 

49.531 

52.529 

55.526 

58.524 

61.522 

"38  Cassiopese    . 

1  21  48.701 

53.056 

57.413 

61.770 

66.129 

70.490 

74.852 

79.215 

rj  Piscium  .... 

1  24  41.323 

44.523 

47.722 

50.922 

54.121 

57.321 

60.521 

63.722 

a  Eridani,(  Achernar). 

1  32  58  728 

60.963 

63.196 

65.431 

67.665 

69.899 

72.133 

74.366 

o  Piscium  .... 

1  38  41.396 

44.558 

47.721 

50.883 

54.045 

57.208 

60.370 

63.533 

ft  Arietis     .... 

1  47  37.636 

40.937 

44.238 

47.539 

50841 

54.142 

57.444 

60.746 

"50  Cassiopeso    . 

1  52  37.906 

42.888 

47.871 

52.856 

57.842 

62.831 

67.822 

72.814 

a  Arietis     .... 

2    0     1.055 

4.424 

7.793 

11.161 

14.530 

17.899 

21.269 

24.638 

flCeti    ...'.. 

2    6  16.171 

19.341 

22.511 

25.680 

28.850 

32.020 

35.190 

38.360 

,*  i   Cassioperc    . 

2  18  37.671 

42.512 

47.354 

52  1P8 

57.043 

61.890 

66.738 

71.587 

y  Ceti          .... 

2  36  43.292 

46.395 

49.498 

52.600 

55.703 

58.806 

61.909 

65.013 

a  Ceti 

2  55  38.524 

41.653 

44.782 

47.911 

51.040 

54.169 

57.299 

60.428 

*48  Cephei,  (H)  .     .     . 

3    4  17.259 

24.610 

31.964 

39.321 

46.682 

54.047 

61.415 

68.787 

f  Arietis     .... 

3    7  36.269 

39.706 

43.144 

46.58.1 

50.019 

53.457 

56.895 

60.333 

3  15  15  869 

20.118 

24.368 

28.618 

32.868 

37.118 

41.309 

45.621 

3  33  53  290 

57  530 

61.771 

66.012 

70.253 

74.495 

78.737 

82.980 

7}  Tuuri       .... 

3  39  58.255 

59.809 

63.364 

66.918 

70.473 

74.028 

77.583 

81.138 

£  Persei      .... 

3  46    9.140 

"12.897 

16.654 

20.411 

24.168 

27.925 

31.683 

35.441 

71  Eridani  .... 

3  52    6.270 

9.067 

11.863 

14.660 

17.457 

20.253 

23.050 

25.847 

7  Tauri       .... 

4  12  34.054 

37.4(52 

40.870 

44.277 

47.685 

51.093 

54.501 

57.909 

e  Tauri       .... 

4  21  12.141 

15.637 

19.132 

22.628 

26.124 

29.620 

33.116 

36.613 

a  Taiii\,(Aldcbaran)  . 

4  28  38.099 

41.535 

44.971 

48.407 

51.843 

55.280 

58.716 

62.153 

,*  9  Camelopardalis  .      . 

4  41  26J84 

32.098 

38.012 

43.928 

49.844 

55.761 

61.678 

67.598 

j     «   Aurijrse   .... 

4  48  43  508 

47.405 

51.303 

55.200 

59.007 

62.995 

63.892 

70.790 

11  Orionis    .... 

4  57  18.848 

22.273 

25.698 

29.123 

32.549 

35.974 

39.400 

42  825 

a  Aurigae,  (Capclla)  . 

5    7  18.598 

23.020 

27.443 

31.866 

36.289 

40.712 

45.136 

49.559 

ft  Oriouis,  (Rigel).      . 

5    8  26.098 

28.979 

31.860 

34.741 

37.622 

40.503 

43.384 

46.265 

ft  Tauri       .... 

5  18  15.876 

19.664 

23.452 

27.240 

31.028 

34.816 

38.604 

42.393 

Groombridge  986    . 

5  22  45.643 

53.632 

61.622 

69.612 

77.603 

85.595 

93.587 

101.581 

d  Orionis    .... 

5  25  31.166 

34.230 

37.294 

40.358 

43.422 

46.486 

49.551 

52.615 

r>  27    7  821 

10  467 

13  114 

15.760 

18.407 

21.053 

23  700 

26.:146 

e  Orionis    .... 

5  29  46.180 

49.222 

52.264 

55.306 

58.348 

61.390 

64.433 

67.475 

a  Columbae 

5  35    3.097 

5.268 

7.440 

9.613 

11.784 

13.957 

16.129 

18.302 

j     a  Orionis    .... 

5  48  17.809 

21.056 

24.303 

27.550 

30.797 

34.044 

37.291 

40.538 

*22  Camelopardalis,  (H  ) 

6    4  50.696 

57.314 

63.933 

70.552 

77.170 

83.789 

90.407 

97.025 

fj.  Geuiinornm  . 

6  15  16.661 

20.293 

23.926 

27.559 

31.192 

34.825 

38.457 

42.190 

a  Argus,  (Canopus)    . 

6  21    8.071 

9.401 

10.731 

12.062 

13.392 

14.722 

16.052 

17.383 

y  Geminorum  . 

6  30  22.523 

25.992 

29.460 

32.929 

36.393 

39.867 

43336 

46.804 

a  CanisMaj.  (  SIMMS). 

6  39  33.064 

35.709 

38.:J-54 

40.999 

43.644 

26.289 

48.935 

51.580 

|*51  Cephei,  (H.)'      .      . 

6  4013.916 

44.183 

74.430 

104.658 

134.861 

165.044 

195.205 

225.342 

e  Cauis  Majoris     . 

6  53  38.161 

40.519 

42.878 

45.236 

47.595 

49  954 

52.313 

54.671 

6  Canis  Majoris    . 

7    3  13.713 

16.153 

18.593 

21.032 

23.472 

25.912 

28.351 

30.791 

*  (Jircuuipolar  Stars. 


SPECIAL  TABLES. 


85 


TABLE  XXIII.-Meaa  Declinations  of  Standard  Stars,  1813—1880. 

1873. 

1074. 

1875. 

1876. 

1877. 

1878. 

1879.             1330. 

'   +23  23  21.87 
+  14  23  39.46 
—77  58  1369 
+55  50  25.45 
—  J8  41     2.22 

23  41.78 
28  59.51 
57  53.45 
50  45.25 
40  42.39 

/     // 
24     1.68 
29  19.55 
57  33.20 
51    5.C5 
40  22.56 

24  21.59 
29  39.60 
57  12.90 
51  24.85 
40  2.74 

24  41.49 

29  59.64 
56  52.72 
51  44.65 
39  42.91 

25     1.40 
30  19.69 
56  32.47 
52    4  45 

39  23.08 

25  21.30 
30  39.74 
56  1223 
52  24.24 
39    3.26 

25  41.20 
30  59.78 
55  21.9S 
52  44  04 
38  43.43 

-f-74  17  34.31 
+  7  12  21.52 

!   +83  37  55.70 
—  8  50  20.40 
+69  36  35.47 

17  54.04 
12  40.99 
38  J4.76 
50     1.68 
36  54.18 

IS  13.76 
13    0.47 
38  33.81 
49  42.96 
37  12.89 

18  33.49 
13  19.94 
38  52.85 
49  24.25 
37  31.59 

18  53.22 
13  39.41 
39  11.88 
49  5.53 
37  50.30 

19  12.94 
13  58.89 
39  30.90 
48  46.82 
38    9.00 

19  32.07 
14  18.38 
39  49.92 
48  28.11 
38  27.69 

19  52.39 
14  37.82 
40    8.92 
48    9.40 
38  46.39  ' 

+  14  41  2836 
—57  52  56.25 
+  8  31    3.c6 
+20  11  11.44 
+71  48  17.42 

41  45.08 
52  37.83 
31  22.12 
11  29.23 

48  35.10 

42    3.80 
52  19.42 
31  40.38 
11  47.02 
48  52.78 

42  22.51 
52  1.01 
31  58.64 
12  4.80 
49  10.45 

42  41.23 
51  42.60 
32  16.89 
12  22.58 
49  28.12 

42  59.94 
51  24.19 
32  35.15 
12  40.36 
49  45.78 

43  18.65 
51     5.79 
32  53.40 
12  58,14 
50    3.44 

43  37.36  i 

50  47.39 
33  11.05 
13  15.91 
50  21.10 

!   +22  51  39.53 
+  8  14  59.60 
+66  49  45.25 
+  2  41  57.94 
+  3  35  24.22 

51  56.76 
15  16.67 
50     1.72 
42  13.33 

35  38.58 

52  13.99 
15  33.75 
50  18.19 
42  28.72 
35  52.93 

52  31.22 
15  50.82 
50  34.66 
42  44.10 
36  7.28 

52  43.44 
16  7.88 
50  51.12 
42  59.48 
36  21.63 

53    5.66 
16  24.95 
51    7.58 
43  14.86 
36  35.98 

53  22.88 
16  42.01 
51  24.04 
43  30.24 
36  50.32 

53  40.10 

16  59.07  i 
51  40.49  1 
43  45.61  ; 
37  f  4.65 

+77  15  50.53 
+20  34  20.89 
+49  24  24.63 
+47  22  44  24 
+23  42  38.03 

16    4.37 
34  34.53 
24  37.79 
22  56.13 
42  49.48 

16  18.21 

34  48.17 
24  50.94 
23    8.01 
43    0.94 

16  32.04 
35  1.81 
25  4.10 
23  19.88 
43  12.39 

16  45.86 
35  15.44 
25  17.24 
23  31.75 
43  23.83 

16  59.67 
35  29.07 
25  30.38 
23  43.61 
43  35.27 

17  13.48 
35  42.70 
25  43.52 
23  55.47 
43  46.71 

17  27.28 
35  56.32 
25  56.65 
24     7.33 
43  58.14 

+31  30  15.79 
—13  52  15.72 
:    +15  19    9.01 
'    +18  53  48.96 
+16  15    7.73 

30  26.82 
52    5.19 
19  18.06 
53  57.33 
15  15.34 

30  37.85 
51  54.66 
19  27.11 
54    5.69 
15  22.95 

30  48.87 
51  44.14 
19  36.16 
54  14.05 
15  30.56 

30  59.89 
51  33.62 
19  45.20 
54  22.41 
15  38.16 

31  10.90 
51  23.10 
19  G4.24 
54  30.76 
15  45.76 

31  21.91 
51  12.59 
20    3.27 
54  39.11 
15  53.35 

31  32.91 
51     2.C8 
20  12.30  i 
54  47.45  ! 
16    0.94 

+66    7  23.81 
+32  57  45.85 
+  15  13  30.97 
+45  51  57.48 
|   —  8  21    0.46 

7  30.56 
57  51.98 
,  13  36.37 
52    1.62 

20  55.99 

7  37.30 
57  58.09 
13  41.77 
52    5.76 
20  51.52 

7  44.03 
58  4.20 
13  47.16 
52  9.89 
20  47.06 

7  50.75 
58  10.31 
13  52.55 
52  14.01 
20  42.60 

7  57.46 
58  16.41 
13  57.94 
52  18.13 
20  38.14 

8    4.16 
58  22.50 
14    3.32 
52  22.24 
20  33.69 

8  10.80 
58  28.59 
14    8.69 
52  26.35 
20  29.24 

+28  29  51.85 
+74  57  15.12 
—  0  23  42.63 
—17  54  52.93 
—  1  17    5.75 

29  55.30 
57  18.36 
23  39.64 
54  50.04 
J7    3.11 

29  58.76 
57  21.58 
23  36.65 
54  47.16 
17     0.48 

30  2.20 
57  24.80 
23  33.66 
54  44.27 
16  57.85 

30  5.64 
57  28.00 
23  30.68 
54  41.40 
16  55.22 

30    9.07 
57  31.19 
23  27.71 
54  38.52 
16  52.60 

30  12.50 
57  34.37 
23  24.73 
54  S5  65 
16  49.98 

30  15.93  ; 
57  37.54 
23  21.77 
54  32.78 
16  47.37 

—34    8  34.50 
+  7  22  52.87 
+69  21  36.67 
+22  34  C5.69 
—62  37  i.7.57 

8  32.35 
22  53.91 
21  36.13 
34  34.25 
37  39.42 

8  30.20 
22  54.94 
21  35.58 
34  32.79 
37  41.27 

8  2805 
22  55.97 
21  35.03 
34  31.34 
37  43.12 

8  25.90 
22  57.00 
21  34.4(3 
34  29  88 
37  44.98 

8  23.76 
22  58.02 
21  33.88 
34  28.41 
37  46.84 

8  21.62 
22  59.03 
21  3330 
34  26.94 
37  4--.70 

8  19.48 
23    0.04 
21  32  70 
34  25.46 
37  50.56 

+16  30  20.43 
—16  32  36.32 
+87  14  1161 
—28  48    2.35 
—26  11  33.38 

30  17.75 
32  40.97 
14    8.04 
48    6.99 
11  38.80 

30  15.07 
32  45.63 
14    4.43 
|     48  11.65 
11  44.23 

30  12.3* 
32  50.29 
14  0.77 
48  16.30 
11  49.67 

30  9.C8 
32  54  96 
13  57.07 
48  20.96 
11  55.11 

30    6.98 
32  59.63 
I     13  53.33 
48  25.62 
|     12    0.55 

30    4.28  i     30     1.57 
33    4.30  i     33     8.98 
13  49.54        13  45.72 
48  30.29  ;     48  34.  9o 
12    5.99       12  11,44 

SPECIAL  TABLES. 


TABLE  XXIII.-Mean  Eight  Ascensions  of  Standard  Stars,  1813—1880. 

Star's  name. 

1873. 

1874. 

1875. 

1876. 

1877. 

1878. 

1879. 

1880. 

h    m      s 

s 

s 

s 

s 

8 

8 

S 

6  Geminorum  . 

7  12  32.253 

35.844 

39.435 

43.  025  j    46.616 

50.206 

53.797 

57.387 

*       Piazzi,  vii.  67     . 

7  17  38.799 

45.111 

51.422 

57.732     64.042 

70.351 

76.C58 

82.965 

a  Gemiuor.  (Castor)  . 

7  26  29.368 

33.207 

37.046 

40.885 

44.724 

48.562 

52.401 

56.239 

a  Can.  Min.  (Procyon) 

7  32  39.267 

42.413 

45.560 

48.705 

51.851 

54.997 

58.143 

61.289 

P  Gemiuor.  (Pollux)  . 

7  37  32.550 

36.231 

39.913 

43.C94 

47.276 

50.957 

54.638 

58.319 

£>  Geniinorum  . 

7  45  43.408 

47.092 

50.776 

54.460 

58.144 

61.827 

65.511 

60.194 

*  3  Ursse  Majoris,  (H.). 

8     0    8.838 

14.906 

20.973 

27.039 

33.103 

39.166 

45.228 

51.289 

15  Argus,  (i)     . 

8     2    8213 

10.769 

13.325 

15.882 

18.438 

20.995 

23.551 

26.107 

e  Hydrso    .... 

8  40    3.015 

6.199 

9.383 

12.567 

15.751 

18.935 

22.118 

25.302 

t   Urscc  Majoris    . 

8  50  30.149 

34.289 

38.428 

42.C67 

46.706 

50.844 

54.982 

59.119 

*  a2  Ursse  Majoris    . 

8  59  11.300 

16.676 

22.051 

27.425 

32.797 

38.168 

43.537 

48.905 

K  Cancri     .... 

9     0  52.001 

55.256 

58.511 

61.766 

65.021 

68.276 

71.531 

74.785 

i  Argus      .... 

9  13  41.352 

42.954 

44.555 

46.107 

47.758 

49,360 

50.961 

52.562 

*  1  Draconis,(H.)   .      . 

9  18  47.719 

56.844 

65.961 

75.070 

84.171 

93.264 

1U2.350 

111.427 

a  Hydra    .... 

9  21  20.804 

23.753 

26.703 

29.652 

32.602 

35.551 

38.501 

41.450 

*  d  Ursse  Majoris    . 

9  23  12.682 

18.109 

23.535 

28.960 

34.383 

39.804 

45.223 

50.640 

0  Ursse  Majoris    . 

9  24  20.991 

25.041 

29.091 

33.140 

37.189 

41.237 

45.285 

49.332 

e  Leonis     .... 

9  38  38.381 

41.801 

45.220 

48.639 

52.058 

55.477 

58.895 

62.314 

H  Leonis     .... 

9  45  32.199 

35.623 

39.048 

42.472 

45.896 

49.320 

52.744 

56.1  67 

.a  Leonis,  (Regulus)   . 

10     1  36.444 

39.647 

42.850 

46.053 

49.256 

52.459 

55.661 

58.864 

*32  Ursse  Majoris    . 

10     8  47.139 

51.578 

56.016 

60.453 

64.888 

69.322 

73.756 

78.183 

yl  Leonis     .... 

10  12  58.077 

61.394 

64.711 

68.028 

71.345 

74.661 

77.978 

31.294 

*  9  Draconis,  (H.)  .     . 

10  24  14.422 

19.729 

25.033 

30.335 

35.633 

40.929 

46.223 

51.514 

p  Leonis     .... 

10  26    7.424 

10.590 

13.756 

16.922 

20.088 

23.253 

26.419 

29.585 

i]  Argus      .... 

10  40    8.291 

10.601 

12.911 

15.222 

17.532 

19.843 

22.154 

24.4G5 

I   Leonis     .... 

10  42  34.813 

37.972 

41.132 

44.291 

47.450 

50.609 

53.769 

56.928 

a.  Ursse  Majoris     . 

10  55  52.314 

56.073 

59.832 

63.590 

67.347 

71.103 

74.859 

78.611 

6  Leonis    .... 

11     7  21.159 

24.361 

27.563 

30.765 

33.907 

37.168 

40.370 

43.571 

d  Crater's  .... 

11    12  59.568 

62.564 

65.561 

68.557 

71.553 

74.549 

77.546 

80.542 

T  Leonis     .... 

11  21  24.378 

27.466 

30.554 

33.642 

36.730 

39.818 

42.906 

45.994 

*  A  Draconis 

11  23  50.285 

53.924 

57.561 

61.198 

64.834 

68.468 

72.102 

75.735 

v  Leonis     .... 

11  30  26.823 

29.895 

32.966 

36.038 

39.110 

42.182 

45.254 

48.325 

p  Leonis     .... 

11   42  34.841 

37.907 

40.973 

44  038 

47.104 

50.  169 

'  53.234 

56.299 

7  Ursse  Majoris    . 

11  47    8.474 

11.662 

14.850 

18.037 

21.224 

24.411 

27.597 

30.783 

o  Virginia  .... 

11  58  44.397 

47.456 

50.516 

53.575 

56.635 

59.694 

62.753 

65.813 

*  4  Draconis,  (H.)  .     . 

12     6  13.563 

16.468 

19.373 

22.276 

25.178 

28.079 

30.979 

33.877 

*  B  Chamseleontis    . 

12  10  55.956 

59.301 

62.647 

65.995 

69.345 

72.697 

76.051 

79.406 

77  Virginis  . 

12  13  24.548 

27.616 

30.685 

33.753 

36.822 

39.891 

42.959 

46.028 

a1  Crucis     .... 

12  19  32.494 

35.761 

39.029 

42.S97 

45.566 

48.836 

52.106 

55.  377 

p  Corvi      .... 

12  27  43.156 

46.294 

49.433 

52.572 

55.711 

58.850 

61.989 

65.129 

*  K  Draconis 

12  28    3.091 

5.691 

8.291 

10.891 

13.  429 

16.088 

18.685 

21.283 

(*32  Camelop.(H.)(/o//.) 

12  48  13.074 

13.432 

13.792 

14.155 

14.519 

14.886 

15.255 

15.626 

12  Canum  Veuaticorum 

12  50    5.052 

7.869 

10.685 

13502 

16.318 

19.135 

21.951 

24.767 

6  Virginis  .... 

13     3  22.582 

25.683 

28.784 

31.885 

34.986 

38.088 

41.189 

44.290 

a  Virginis,  (Spica) 

13  18  30.295 

33.448 

36.602 

39.755 

42.909 

46.062 

49.216 

52.370 

(,  Virginis  .... 

13  28  13.390 

16.443 

19.496 

22.549 

25.602 

28.655 

31.708 

34.762 

7;  Ursse  Majoris     . 

13  42  32.108 

34.482 

36.856 

39.229 

41.603 

43.977 

46.351 

48.724 

i)  Boot  is      .... 

13  48  38.305 

41.163 

44.022 

46.880 

49.739 

52.597 

55.456 

58.314 

ft  Centauri. 

13  54  52.745 

56.909 

61.074 

65.240 

69.407 

73.575 

77.743 

81  912 

*  a  Draconis 

14     0  57.134 

58.757 

60.380 

62.003 

63.626 

65.249 

66.872 

68.495 

'  

1 

C'ircurnpolar  Stars. 


SPECIAL  TABLES. 


87 


TABLE  XXIII.—  Mean  Declinations  of  Standard  Stars,  18:3—1880. 

1873. 

1874. 

1875. 

1876. 

1877. 

1878. 

1879. 

1880. 

0         /         // 

-}-22  12  51.03 
+68  43  15.22 
+32    9  52.82 
+  5  32  54.79 
+28  19  51.66 

12  44.80 
43     8.47 
9  45.35 
32  45.86 
19  43.33 

/     // 
12  38.56 
43     1.72 
9  37.87 
32  36.92 
19  35.00 

/     // 
12  32.31 
42  54.96 
9  30.39 
32  27.98 
19  26.67 

12  26.06 
42  48.19 
9  22.90 
32  19.03 
19  18.33 

12  19.81 
42  41.42 
9  15.41 

32  10.08 
19     9.99 

12  13.55 
42  34.63 
9    7.92 
32     1.13 
19    1.64 

12    7.28 
42  27.84  1 
9    0.41  1 
31  52.17 
18  53.29 

+27    5  32.96 
+68  50  39.75 
!   —23  56  21.58 
+  6  53    0.60 
+48  32  18.03 

5  24.02 

50  29.70 
56  31.70 
52  47.68 
32     4.18 

5  15.07 
50  19.63 
56  41.82 
52  3476 
31  50.33 

5     612 
50     9.57 
56  51.94 
52  21.84 
31  36.48 

4  57.16 
49  59.49 
57     2.07 
52     8.91 
31  22.61 

4  48.20 
49  49.41 
57  12.20 
51  55.98 
31     8.75 

4  39.23 
49  39.31 
57  22.33 
51  43.04 
30  54.88 

4  30.26 
49  29.22 
57  32.47 
51  30.10 
30  41.00 

+67  38  4984 
+11  10  41.23 
—58  44  31.82 
+81  53    4.49 

—  8    6  32.68 

38  35.61 
10  27.01 
44  46.74 
52  49.19 
6  48.08 

38  21.38 
10  12.79 
45     1.68 
52  3389 
7     3.48 

38     7.14 
9  58.57 
45  16.61 
52  18.58 
7  18.88 

37  52.90 
9  44.35 
45  31.55 
52     3.26 
7  34.28 

37  38.65 
9  30.12 
45  4648 
51  47.93 

7  49.69 

37  24.39 
9  15.89 
46    1.42 
51  32.59 
8    5.10 

37  10.13 
9     1.65 
46  16.36 
51   17.25 

8  20.51 

+70  23  10.55 
+52  15  16.61 
+24  21  28.90 
+26  36  14.65 
+12  35  14.24 

22  55.06 
15     0.45 
21  12.53 
35  57.90 
34  56.82 

22  39.56 
14  44.29 
20  56.16 
35  41.15 
34  39.40 

22  24.06 
14  28.12 
20  39.79 
35  24.40 
34  21.98 

22    8.55 
14  11.95 
20  23.42 
35     7.64 
34     4.56 

21  53.04 
13  55.78 
20     7.04 
34  50.88 
33  47.13 

21  37.52 
13  39.60 
19  50.66 
34  34.12 
33  29.70 

21  21.99 
13  23.42 
19  34.27 
34  17.36 
33  12.27 

+65  44  25.55 
+20  29    0.15 
+76  21  56.73 
+  9  57  34.20 
-59    0  59.01 

44     7.77 
28  42  12 
21  3837 
57  15.81 
1   17.77 

43  49.99 
28  24.09 
21  20.01 
56  57.41 
1  36.53 

43  32.21 
28     6.06 
21     1.64 
56  39.01 
1  55.29 

43  14.43 
27  48.03 
20  43.27 
56  20.61 
2  14.05 

42  56.64 
27  29.99 
20  24.90 
56     2.21 
2  32.81 

42  38.85 
27  11.95 
20    6.53 
55  43.80 
2  51.58 

42  21.06 
26  53.91 
19  48.15 
55  25.40 
3  10.34 

+11  13    0.82 
+62  26    9.35 
+21  13    9.80 
—14    5  28.84 
+  3  33  20.08 

12  41.90 
25  49.99 
12  50.15 

5  48.28 
33    0.30 

12  2298 
25  30.63 
12  30.49 
6     7.72 
32  40.52 

12    4.05 
25  11.27 
12  10.84 
6  27.16 
32  20.74 

11   45.13 
24  51.91 
11  51.18 

6  46.60 
32     0.96 

11  26.20 
24  32.54 
11  31.53 
7    6.04 
31  41.17 

11     7.27 
24  13.18 
11  11.87 

7  25.48 
31  21.39 

10  48.34 
23  53.81 
10  52.21 
7  44.93 
31     1.61 

+69  61  52.77 
—  0    7  21.20 
+15  16  56.04 
+54  24     3.03 
+  9  26  19.14 

61  32.90 
7  41.03 
16  35.95 
23  43.01 
25  59.13 

61  13.04 
8     0.87 
16  15.86 
23  22.99 
25  39.13 

60  53.17 
8  20.71 
15  55.77 
23     2.97 
25  1912 

60  33.30 
8  40.54 
15  35.68 
22  42.95 
24  59.12 

60  1344 
9     0.38 
15  15.59 
22  22.93 
24  39.12 

59  53.57 
9  20.22 
14  55.50 
22    2.90 
24  19.11 

59  33.70 
9  40.06 
14  35.41 
21  42.88 
23  59.11 

+78  19  17.78 
—78  36  26.09 
i    +  0    2  21.69 
!   —62  23  37.97 
—22  41  37.19 

18  57.72 
36  46.13 
2     1.66 
23  57.90 
41  57.14 

18  37.67 
37     6.17 
1  41.62 
24  17.83 
42  17.08 

18  17.62 
37  26.21 
1  21.59 
24  37.76 
42  37.03 

17  57.56 
37  46.25 
1     1.56 
24  57.69 
42  56.97 

17  37.51 
38     6.29 
0  41.53 
25   1761 
43  16.91 

17  17.45 
38  26.33 
0  21.50 
25  37.54 
43  36.85 

16  57.40 
38  46.37 
0     1.47 
25  57.47 
43  56.80 

+70  29  17.30 
+84    6  10.27 
+38  60  17.38 
—  4  51  36.62 
—10  29  50.79 

28  57.37 
5  50.64 
59  57.87 
51  55.93 
30     9.69 

28  37.44 
5  31.01 
59  3836 
52  15.24 
30  28.60 

28  17.52 
5  11.37 

59  18.85 
52  34.55 
30  47.50 

27  57.59 
4  51.74 
58  59.34 
52  53.86 
31     6.40 

27  37.67 
4  32.11 
58  39.84 
53  13.16 
31  25.31 

27  17.74 
4  12.48 

58  20.33 
53  32.47 
31  44.21 

26  57.82 
3  52.85 
58    0.82 
53  51.78 
32    3.10 

+  03  16.28 
+49  56  52.16 
+19    2    7.92 
-59  45  32.59 
+64  58  58.32 

2  57.77 
56  34.05 
1  49.75 
45  50.24 
58  40.96 

2  39.25 
56  15.95 
1  31.57 

46    7.89 
58  23.60 

2  20.73 
55  57.86 
1   13.40 
46  25.54 
58     6.24 

2    2.22 
55  39.76 
0  55.23 
46  43.18 

57  48.89 

1  43.71 
55  21.66 
0  37.07 
47     0.82 
57  31.53 

1  25.20 
55    3.57 
0  18.90 
47  18.47 
57  14.18 

1    6.69 
54  45.48 
0    0.74 
47  36.11 
56  56.82 

88 


SPECIAL  TABLES. 


TABLE  XXIII.—  Mean  Eight  Ascensions  of  Standard  Stars,  18*3—1880. 

Star's  name. 

1873. 

1874. 

1875. 

1876. 

1877.   - 

1878. 

1879. 

1880. 

h    m      8 

8 

8 

s 

s 

s 

s 

8 

a  PtOot'}s,(Arcturus)  . 

14    9   52.145 

54.879 

57.614 

60.348 

63.082 

65.817 

68.551 

71.286 

6  Bootis      .... 

14  20   52.358 

54.401 

56.444 

58.487 

60.530 

62.574 

64.617 

66660 

*  5  Ursoe  Minoris     . 

14  '27   49.1941    48.985 

48.777 

48.570 

48.365 

48.160 

47.956 

47.754 

«3  Centauri 

14  31     0.360 

4.394 

8.430 

12.466 

16.503 

20.540 

24.579 

28.617 

e   Bootis     .... 

14  39   28.467 

29.089 

31.710 

34.332 

36.953 

39.575 

42.196 

44.818 

a2  Librae     .... 

14  43   51.320 

54.627 

57  935 

61.242 

64.550 

67.857 

71.165 

74.473 

*  ft  Ursse  Minoris     . 

14  51     5.891 

5.643 

5.397 

5.152 

4.908 

4.664 

4.422 

4.181 

ft  Bootis     .... 

14  57     9.728 

11.988 

14.248 

16.508 

18.768 

21.028 

23.288 

25.548 

8  Librse     .... 

15  10    10.495 

13.715 

16.935 

20.15(5 

23.376 

26.597 

29.818 

33.038 

/a1  Bootis     .... 

15  19   41.628 

43.895 

46.163 

48.431 

50.699 

52.966 

55.234 

57.502 

*  y2  Ursre  Minoris     . 

15  20   56.783 

56.637 

56.493 

56.349 

56.205 

56.063 

55.921 

55.780 

a  Coronse  Borealis 

15  29    18.675 

21.214 

23.754 

26.293 

28.833 

31.372 

33.912 

36.451 

a  Serpentis 

15  38     0.787 

3.738 

6.688 

9.639 

12.589 

15.540 

18.491 

21.441 

e   Serpcntis 

15  44   29.203 

32.190 

35.177 

38.164 

41.151 

44.138 

47.125 

50.113 

*  (,  Ursce  Minoris    .     . 

15  48   38.487 

36.204 

33.922 

31.643 

29,365 

27.090 

24.816 

22.545 

e  Coronse  Borealis     . 

15  52    19.898 

22.384 

24.869 

27.354 

29.840 

32.325 

34.810 

37.296 

1  5  52  49  598 

53.1351    Kfi.fi72 

60.209 

63.746 

67.283 

70.820 

73.358 

8l  Scorpii    .... 

15  58     3.264 

6.742 

10.219 

13.697 

17.175 

20.653 

24  131 

27.609 

*  '    Grcombridge  2320  . 

16    5   58.861 

58.994 

59.128 

59.262 

59.397 

59.532 

59.667 

59.803 

6  Ophiuchi 

16    7    41.478 

44.616 

47.754 

50.892 

54.030 

57.168 

60.306 

63.445 

r  Herculis  .... 

16  15   55.317 

57.115 

58.913 

60.711 

62.509 

64.307 

66.106 

67.904 

a  Scorpii,  (Antares)    . 

16  21    37.417 

41.086 

44.755 

48.424 

52.094 

55.763 

59.432 

63.102 

rj  Draconis 

16  22    16.575 

17.379 

18.184 

18.988 

19.793 

20.598 

21.404 

22.209 

*  A  Draconis 

16  28    14.524 

14.383 

14.242 

14.101 

13.961 

13  821 

13.682 

13.543 

£  Opbiuchi 

16  30   10.026 

13.323 

16.621 

19.919 

23.217 

26.515 

29.813 

33.112 

1 

*  aTrianguli  Australia  . 

16  35    14.405 

20.G90 

26.975 

33.262 

39.550 

45.839 

52.128     58.418 

?/  Herculis  .... 

16  38   32.553 

34.608     36.662 

38.717 

40.771 

42.826 

44.880     46.935 

ic  Opbiuchi 

16  51    39.408 

42.243 

45.078 

47.912 

50.747 

53.582 

56.417J    59.252 

d  Herculis  .... 

16  56   54.908 

57.117 

59.326 

61.535 

63.744 

65.953 

68.162 

70.372 

*  £  Ursre  Minoris     .     . 

16  58   63.665 

57.285 

50.907 

44.532 

38.161 

31.792 

25.427 

19.064 

1 

a1  Herculis  .... 

17    8   51.414 

54.147 

56.881 

59.614 

62.347 

65.081 

67.814]    70.548 

44  Opbiuchi       ... 

17  18   36.919 

40.578 

44.237 

47.896 

51.555 

55.214 

58.873 

62.533 

ft  Draconis 

17  27   33.776 

35.127 

36.478 

37.829 

39.180 

40.531 

41.883 

43.234 

a  Ophiuchi      .     +     . 

17  29     2.353 

5.135 

7.918 

10.700 

13.483 

16.265 

19.047 

21.830 

'f  w  Diaconis 

17  37   41.832 

41.476 

41.121 

40.765 

40.410 

40.055 

39.700 

39.345 

li  Herculis  .... 

17  41    29.322 

31.667 

34.012 

36.357 

38.702 

41.047 

43.392 

45.737 

*  T/^DiaconiSjCpr.)  . 

17  44    1-3.049 

10.966 

9.884 

8.803 

7.721 

6.640 

5.558 

4477 

~y  Draconis       .      .      . 

17  53   39.583 

40.976 

4-2.370 

43.764 

45.158 

46.551 

47.945 

49.^39 

y2  Sagittarii      ... 

17  57   39.019 

42.872 

46724 

50.577 

54.429 

58.282 

6^.134 

(55.987 

fj.1  Sugittarii 

18    6    1U.098 

13.684 

17.271 

20.857 

24.443 

28.029 

31.616 

35.202 

*  a  OotanHs  .... 

18  11    46.173 

155  139 

264.004 

372.758 

481.388 

589.883 

698.230 

806.417 

*  (5  Ursae  Minoris    . 

18  11  138.149 

118.735 

99.317 

79.895 

60.469 

41.040 

21.609 

2.174 

!    1]  Serpentis 

18  14   44.247 

47.346 

50.445 

53.545 

56.644 

59.744 

62.843 

65  943  i 

J  Aquilse,  (SILScuti] 

18  28    17.697 

20.962 

24.226 

27.490 

30.7551    34.019 

37.284 

40.548 

a  LytB,(jtfjf«)     .      . 

18  32    38.307 

40.338 

42.370 

44.401 

46.433 

48.465 

50.496 

52.CD8 

ft  Lyrse      .... 

18  45  23.455 

25.669 

27.883 

30.097 

32.312 

34.526 

36.740 

:>8.955 

a  bagittarii 

18  47   23.392 

27.116 

30.839 

34.502 

38.286 

42.009 

45.732 

49.455 

*50  D«aconis 

18  50   27.419!   25.520 

23.620 

21.720 

19.819 

17.917 

16.015 

14.113 

C  A  quite    ....    18  59   34.295|    37.050 

39.805 

42.5(50 

45.314 

48.069 

51.824 

54.579 

d  Sagittarii 

19  10    12.179 

15.6931    19.206 

22.719 

26.232 

29.745 

33.258 

3(5771 

1 

i               i 

Circmnpolar  Stars. 


SPECIAL  TABLES. 


89 


TABLE  XXIII.—  Mean  Declinations  of  Standard  Stars,  18*3—  1880. 

1873.                 1874. 

1875. 

1876. 

1877. 

1878. 

1879. 

1880. 

+19  50  4?.  86 
+C2  '26  19.22 
-j-76  15  36.49 
—60  18  24.60 
+27  36  39.46 

50  22.98 
26    2.44 
15  20.44 
18  39.63 
36  24.10 

/     // 
50     4.10 
25  45.67 
15     4.40 
18  54.66 
36     874 

49  45.22 
25  28.89 
14  48.35 
19     9.68 
35  53.38 

49  26.34 
25  12.12 
14  32.31 
19  24.71 
35  38.02 

49    7.46 
24  .55.35 
14  1626 
19  39.72 
35  22.67 

/     // 
48  48.59 
24  38.58 
14    0.21 
19  54.7.4 
35    7.32 

/     a 
48  29.72 
24  21.81 
13  44.17 
20    9.75 
34  51.97 

—15  30  44.10 
+74  40  26.84 
+40  53  33.39 
—  8  54  44.44 
i    +37  49  25.90 

30  59.29 
40  12  09 
53  1900 
54  57.98 
49  13.09 

31  14.49 
39  57.34 
53     4.61 
55  11.51 
49     0.29 

31  29.68 
39  42.59 
52  50.22 
55  25.04 

48  47.48 

31  44.87 
39  27.84 
52  35  84 
55  38.57 
48  34.68 

32    0.06 
39  13.09 
52  21.45 
55  52.10 

48  21.88 

32  15.24 
38  58.34 
52    7.07 
56    5.62 
48    9.08 

32  30.42 
38  43.59 
51  52.69 
56  19.14 
47  56.28 

+72  17    9.73 

+27     8  37.35 
+  6  49  37.31 
+  4  51  42.48 
+78  11    2.64 

16  56.93 
8  25.02 
49  25.73 
51  31  38 
10  51.76 

16  44.13 
8  12.69 
49  14.15 
51  20.28 
10  40.88 

16  31.33 

8     0.37 
49     2.57 
51     9.20 
10  29.99 

16  18.53 
7  48.05 
48  51.00 
50  58.11 
10  19.11 

16    5.74 
7  35.73 
48  39.43 
50  47.03 

10    8.22 

15  52.94 
7  23.42 

48  27.87 
50  35.95 
9  57.32 

15  40.15 
7  11.10 
48  16.30 
50  24.87 
9  46.43 

+27  14  50.CO 
—22  15  27.56 
—19  27  20.53 
+68    8  41.45 
—  3  21  54.44 

14  39.97 
15  38  12 
27  30.72 
8  31.95 
22     4.00 

14  29.34 
15  48.68 
27  40.91 
8  22.45 
22  13.56 

14  18.71 
15  59.23 
27  51.09 
8  12.95 
22  23.12 

14     8.08 
16     9.78 
28     1.27 
8     3.45 
22  32.67 

13  57.46 
16  20.32 
28  11.44 
7  53.95 
22  42.22 

13  46.84 
16  30.86 
28  21.61 
7  44.45 
22  51.76 

13  36.23 
16  41.40 
28  31.77 
7  34.95 
23    1.30 

+46  37    0.67 
—26    8  51.80 
+61  48    7.55 
+69    2  34.24 
—10  18  26.69 

36  51.90 
9     0.17 
47  59.33 
2  26.46 
18  34.30 

36  43.14 
3     8.54 
47  51.10 
2  18.68 
18  41.91 

36  34.37 
9  16.90 
47  42.88 
2  10.89 
18  49.51 

36  25.61 
9  25.25 
47  34.66 
2     3.11 
18  57.11 

36  16.85 
9  33.60 
47  26.44 
1  55.33 
19    4.71 

36    8.09 
9  41.94 
47  18.22 
1  47.55 
19  12.30 

35  59.33 
9  50.28 
47  10.00 
1  39.76 
19  19.88 

—68  47  26.09 
+39    9  55.43 
+  9  34  28.62 
+33  45  14.08 
+82  14  33.32 

47  33.42 
9  48.39 
34  22.75 
45     8.66 
14  28.05 

47  40.74 
9  41.35 
34  16.89 
45     3.24 
14  22.77 

47  4805 
9  34.31 
34  11.03 
44  57.83 
14  17.47 

47  55.35 
9  27.28 
34     5.17 
44  52.42 
14  12.18 

48    2.64 
9  20.25 
33  59.32 
44  47  02 
14    6.87 

48    9.92 
9  13.22 
33  53.47 
44  41.62 
14     1.55 

48  17.19 
9    6.20 
33  47.63 
44  36.22 
13  56.22 

+14  32  1360 
—24    3  19.45 
+52  23  45.99 
+12  39  16.36 
+68  48  57  27 

32    9.21 
3  23.13 
23  43.15 
39  13.45 
48  55.61 

32     4.82 
3  26.81 
23  40.32 
39  10.54 
48  53.95 

32     0.44 
3  30.49 
23  37.50 
39     7.64 
48  52.29 

31  56.07 
3  34.16 
23  34.67 
39     4.74 
48  50.64 

31  51.69 

3  87.82 
23  31.  80 
39    1.84 

43  48.98 

31  47.32 
3  41.48 
23  29.02 
38  58.95 
48  47.32 

31  42.96 
3  45.13 
23  26.20 
38  56.06 
48  45.66 

+27  47  48.35 
+72  12  38.G9 
+51  30  1662 
—30  25  22.87 
—21    5  22.08 

47  46.01 
12  36.43 
30  16.03 
25  23.29 
5  21.53 

47  43.67 
12  34.80 
30  15.44 
25  23.71 
5  20.93 

47  41.34 
12  33.16 
30  14.85 
25  24.11 
5  20.43 

47  39.01 
12  31.51 
30   14.27 
25  24.52 
5   19.87 

47  36.68 
12  29.86 
30  13.68 
25  24.92 
5  19.30 

47  34.36 
12  28.21 
30  13.10 
25  25.32 
5  18.73 

47  32.04 
12  26.56 
30  12.52 
25  25.71 
5  18.15 

—89  16  40.49 
+86  36  25.05 
—  2  55  45.82 
—  8  19  49.61 
+38  40    0.38 

16  39.38 
36  26.24 
55  45.20 
19  47.45 
40     3.5  L 

16  38.12 
36  27.41 

55  44.58 
19  45.28 
40     6.64 

16  3669 
36  28.55 
55  43.95 
19  43.11 
40    9.78 

16  35.10 
36  29.65 
55  43.32 
19  40.93 
40  12.92 

16  33.36 
36  30.73 
55  42  68 
19  38.75 
40  16.07 

16  31.47 
36  31.79 
55  42.04 
19  36.56 
40  19.21 

36  29.41 

36  32  81 
55  41.39 
19  34.37 
40  22.36 

+33  12  59.87 
—26  27    5.99 
+75  16  57.62 
+  13  40  3599 
i    —19  10  32.78 

13     3.81 

27     193 
17     2.C5 
40  41  06 
10  26.69 

13     7.75 

26  57.87 
17     6.49 
40  46.14 
10  20.60 

13  11.69 
26  53.80 
17  10.92 
40  51.21 
10  14.50 

13  15.63 
26  49.73 
17   15.35 
40  5630 
10     8.39 

13  19.58 
26  45  65 
17   19.77 
41     1.38 
10    2.28 

13  23.53 
26  41.57 
17  24.19 
41     6.47 
9  C6.17 

19  27.49 
26  37.48 
17  28.61 
41  11.57 
9  50.  C6 

90 


SPECIAL  TABLES. 


TABLE  XXIII.—  Mean  Right  Ascensions  of  Standard  Stars,  1873—1880. 

Star's  name. 

1873. 

1874. 

1875. 

1876. 

1877. 

1878. 

1879. 

1880. 

h    m      s 

I 

s 

g 

s 

s 

8 

*•'  6  Draconis 

19  12   31.207 

31240 

31.273 

31.305 

31.338     31.370 

31.402 

31.434 

*  T  Draconis 

19  17   58931 

57.824 

56.715 

55.607 

54.497 

53.387 

52.277 

51.165 

6  Aquilse   .... 

19  19     5.633 

8.658 

11.682 

14.706 

17.731 

20.755 

23.779 

26.804 

J9  30     3.463 

6.693 

9.923 

13.153 

16.383 

19.613 

22.843 

26.07:4 

7  Aquilse    .... 

19  40    13.291 

16.144 

18.997 

21.850 

24.703 

27.556 

30.408 

33.261 

a  Aquilse,  (.4/f  air) 

19  44   35.172 

38,100 

41.029 

43.957 

46.885 

49.813 

52.741 

55.669 

*  e  Draconis 

19  48   35.443 

35.271 

35.098 

34.925 

34.751 

34.577 

34.403 

34.228 

/3  Aquilse   .... 

19  49     4.453 

7.403 

10.350 

13.297 

16.244 

19.191 

22.138 

25.085 

*  /I  Ursse  Minoris    . 

19  44438.451 

378.244 

317.739 

256.936 

195.836 

134.440 

72.747 

10.758 

T  Aquilse    .... 

19  57   56.133 

59.066 

62.000 

64.933 

67.866 

70.800 

73.733 

76.666 

a2  Capricorn!    . 

20  11     0.369 

3.702 

7.035 

10.368 

13.701 

17.033 

20.366 

23.699 

*  K  Cephei     .... 

20  12  67.429 

65.532 

63.633 

61.733 

59.831 

57.928 

56.023 

54.116 

a  Pavonis  .... 

20  15   35.569 

40.363 

45.156 

49.948 

54.740 

59.531 

64.322 

69.113 

TT  Capricorn!   .     .     . 

20  20     2.982 

6.423 

9.864 

13.305 

16.746 

20.187 

23.627 

27.068 

e  Delphini  .... 

20  27     8.689 

11.555 

14.421 

17.287 

20.153 

23.019 

25.885 

28.750 

*      Groombridge  3241  . 

20  30   32.309 

32.099 

31.889 

31.679 

31.468 

31.256 

31.043 

30.830 

a  Cygni     .... 

20  37     6.148 

8.192 

10.236 

12.280 

14.324 

16.368 

18.412 

20.456 

fj.  Aquarii   .      *      .      . 

20  45   48.096 

51.336 

54.576 

57.816 

61.056 

64.296 

67.535 

70.775 

v  Cygiri     .... 
12  Year  Cat.  1879  . 

20  52   26.314 
20  52  76.564 

28.548 
74.063 

30.782 
71.561 

33.016 
69.056 

35.250 
66.547 

37.484 
64.035 

39.718 
61.520 

41.952 

59.UU2 

61  Cygni(pr.)  .     .     . 

21    1    12.359 

15.046 

17.733 

20.421 

23.109 

25.797 

28.485 

31.173 

C  Cygni     .... 

21    7    31.877 

34.428 

36.978 

39.528 

42.079 

44.629 

47.180 

49.730 

a  Cephei     .... 

21  15   32828 

34.265 

35.703 

37.140 

38.577 

40.014 

41.451 

42.888 

1  Pegasi     .... 

21  16    12.861 

15.635 

18.409 

21.183 

23.958 

26.732 

29.506 

32.280 

/?  Aquarii  .... 

21  24   52.326 

55.490 

58.654 

61.818 

64.982 

68.146 

71.309 

74.473 

*  /?  Cephei    .... 

21  27     0.760 

1.559 

2.358 

3.157 

3.956 

4.754 

5.552 

6349 

£  Aquarii  .... 

21  30   59361 

62.560 

65.758 

68.956 

72.154 

75.352 

78.550 

81.747 

e  Pegasi     .... 

21  37   56.924 

59.871 

62.819 

65.767 

68.715 

71.663 

74.611 

77.559 

*11  Cephei    .... 

21  40     3.269 

4.175 

5.081 

5.987 

6.892 

7.797 

8.702 

9.606 

//  Capricorn!   . 

21  46  22.215 

25.494 

28.773 

32.052 

35.331 

38.610 

41.888 

45.1U7 

*79  Draconis       .     .     . 

21  51    17.177 

17.914 

18.650 

19.386 

20.121 

20.856 

21.590 

22.324 

a  Aquarii   .... 

21  59    15.613 

18.696 

21.780 

24.864 

27.947 

31.031 

34.114 

37.198 

a  Gruis 

22    0    13.186 

16.999 

20.812 

24.624 

28.436 

32.247 

36.058 

39.868 

6  Aquarii   .... 

22  10     7  850 

11.020 

14.191 

17.361 

20.531 

23.701 

26.871 

30.041 

TT  Aquarii  .... 

22  18   47.440 

50.505 

53.570 

56.635 

59.700 

62.766 

65.831 

68,890 

7]  Aquarii   .... 

22  28  49.770 

52.854 

55.937 

59.020 

62.103 

65.186 

68.269 

71.352 

*22(>  Cephei,  (B.).     .     . 

22  30     2.177 

3.259 

4.342 

5.424 

6.506 

7.587 

8.068 

9.749 

£  Pegasi    ^     .     .     . 

22  35     7.637 

10.625 

13.614 

16.602 

19.591 

22.579 

25.568 

28.557 

*  i  Cephei     .... 

22  4o      9.761 

11.879 

13.997 

16.116 

18.235 

20.354 

22.473 

24.593 

/I  Aquarii  .... 

22  45   59.215 

62.346 

65.477 

68.609 

71.740 

74.871 

78.002 

81.133 

a  Pis  Ans.(Fomalhaut) 

22  50   37.719 

41.048 

44.377 

47.706 

51.034 

54.362 

57,690 

61.017 

a  PegS8i,(3far&a6)    . 

22  58   26.134 

29.119 

32.103 

35.088 

38.073 

41.057 

44.042 

47.027 

*  o  Cephei     .... 

23  13   25.174 

27.612 

30.049 

32.488 

34.926 

37.365 

39.805 

42.245 

6  Piscium  .... 

23  21    31  539 

34.580 

37.621 

40.662 

43.703 

46.744 

49.785 

52.82ti 

i   Piscium  .... 

23  33   25.158 

28.243 

31.328 

34.413 

37.497 

4U.582 

43.667 

4(3.752 

*  7  Cephei          .     .     . 

23  34     9.003 

11.407 

13.811 

16.217 

18.622 

21.029 

23.436 

25.844 

*      Groombridge  41C3  . 

23  48   40.624 

43.475 

46.327 

49.179 

52.033 

54.887 

57.742 

60.591) 

w  Piscium  . 

23  52   47.440 

50.518 

53.596 

56.675 

59.753 

62.831 

65.910 

(58.988 

*  Circumpolar  Stars. 


SPECIAL  TABLES. 


91 


TABLE  XXIII.—  Mean  Declinations  of  Standard  Stars,  1873—1880. 

1873. 

1874. 

1875. 

1876. 

1877. 

1878. 

1879. 

1880. 

O         1         II 

+67  26  16.75 
+73    7    7.79 
+  2  51  49.20 
!   —  7  18  26.57 
+10  18  20.04 

i     n 
26  23.06 
7  14.58 
51  56.08 
18  18.86 
18  28.55 

26  29.37 
7  21.36 
52    2.96 
18  11.16 
18  37.05 

26  35.68 
7  28.15 
52    9.85 
18    3.45 
18  45.56 

26  41.99 
7  34.94 
52  16.74 
17  55.73 
18  54.07 

26  48.30 
7  41.72 
52  23.64 
17  48.01 
19    2.59 

/     // 
26  54.60 
7  48.51 
52  30.54 
17  40.29 
19  11.11 

/     // 
27    0.91 
7  55.29 
52  37.45 
17  32.56 
19  19.63 

+  8  32    5.02 
1    +09  56  38.63 
i+65  29.05 
'   +88  55  32.34 
;    +  6  55  17.11 

32  14.24 
56  47.83 
5  37.77 
55  41.66 
55  27.00 

32  23.46 
56  56.98 
5  46.49 
55  50.90 
55  36.90 

32  32.69 
57    6.12 
5  55.22 
56    0.07 
55  46:80 

32  41.93 
57  15.27 
6    3.95 
56    9.15 
55  56.70 

32  51.16 
57  24.41 
6  12.68 
56  18.16 
56    6.61 

33    0.40 
57  33.56 
6  21.42 

56  27.08 
56  16.52 

33    9.64 
57  42.71 
6  30.16 
56  35.92 
56  26.43 

—12  56  11.45 
!   +77  19  39.15 
—57    8  20.16 
—18  37  33.39 
+10  52  23.62 

56    0.58 
19  50.15 
8    9.00 
37  21.91 
52  35.61 

55  49.71 
20    1.15 
7  57.84 
37  10.43 
52  47.60 

55  38.84 
20  12.15 
7  46.67 
36  58.94 
52  59.60 

55  27.96 
20  23.14 
7  35.50 
36  47.45 
53  11.6J 

55  17.08 
20  34.14 
7  24.32 
36  35.96 
53  23.61 

55    6.20 
20  45.13 
7  13.13 
36  24.46 
53  35.61 

54  55.31 
20  56.12 
7    1.94 
36  12.96 
53  47.62 

:   +72    6    4.87 
+44  49  36.79 
—  9  27  28.60 
+40  40  46.39 
+80    4  28.10 

6  17.10 
49  51.48 
27  15.35 
41     0.11 
4  41.81 

629.32 
50    4.18 
27    2.08 
41  13.83 
4  55.52 

6  41.54 
50  J6.87 

26  48.82 
41  27.55 
5    9.22 

6  53.77 
50  29.57 
26  35.55 
41  '41.28 
5  22.92 

7    5.99 
50  42.28 
26  22.28 
41  55.01 
5  36.62 

7  18.21 
50  54.98 
26    9.01 
42    8.74 
5  50.31 

7  30.43 
51    7.69 
25  55.73 
42  22.47 
6    4.00 

+33    7  34.26 
+29  42  25.82 
+62    2  51.32 
+19  15  45.51 
—  6    7  41.97 

7  51.76 
42  40.40 
3    6.43 
16    0.75 
7  26.33 

8    9.26 
42  54.99 
3  21.55 
16  15.99 
7  10.69 

8  26.77 
43    9.58 
3  36.66 
16  31.23 
6  55.04 

8  44.28 
43  24.17 
3  51  78 
16  46.47 
6  39.39 

9    1.80' 
43  38.76 
4    6.89 
17     1.72 
6  23.73 

9  19.31 
43  53.36 
4  22.01 
17  16.97 
6    8.08 

9  36.84 
44    7.96 
4  37.13 
17  32.22 
5  52.42 

1    +70    0  11.20 
|   —  8  25  20.37 
+  9  17  3836 
+70  43  36.03 
—14    8  52.68 

0  26.92 
25    4.42 
17  54.70 
43  52.54 
8  35.91 

0  42.63 
24  48.47 
18  11.03 
44    9.04 
8  19.13 

0  58.34 
24  32.52 
18  27.37 
44  25.55 
8    2.35 

1  14.06 
24  16.56 
18  43.71 
44  42.05 
7  45.57 

1  29.77 
24    0.60 
19    0.06 
44  58.56 
7  28.79 

1  45.4D 
23  44.64 
19  16.40 
45  15.06 
7  12.  UO 

2    1.20 
23  28.68 
19  32.75 
45  31.57 
6  55.21 

+73    6    5.29 
—  0  56    8.66 
—47  34  28.39 
-  8  24  52.63 
+  0  44    1.84 

6  22.25 
55  51.33 
34  11.20 
24  34.85 
44  19.97 

6  39.22 
55  33.99 
33  54.00 
24  17.06 
44  38.11 

6  56.18 
55  16.66 
33  36.80 
23  5U.28 
44  56:24 

7  13.15 
54  59.32 
33  19.60 
23  41.49 
45  14.38 

7  30.12 
54  41.98 
33    2.39 
23  23.69 
45  32.52 

7  47.09 
54  24.63 
33  45.18 
23    5.90 
45  50.67 

8    4.05 
54    7.29 
33  27.96 
22  48.10 
46    8.81 

—  0  46  16.40 
+75  34  18.86 
+  10  10    9.56 
+65  31  57.62 
—  8  15  16.26 

45  57.96 
34  37.38 
10  28.26 
32  16.47 
14  57.19 

45  39.52 
34  55.90 
10  46.96 
32  35.33 
14  38.11 

45  21.07 
35  14.42 
1  1     5.67 
32  54.18 
14  19.04 

45    2.63 
35  '32.94 
11  24.  38 
33  13.04 
13  59.96 

44  44.18 
35  51.46 
11  43.09 
33  31.90 
13  40.89 

44  25.73 
36    9.98 
12     1.80 
33  50.75 
13  21.81 

44    7.29 
36  28.50 
12  20.51 
34    9.61 
13    2.73 

—30  17  40.19 
+  14  31  21.67 
+67  24  59.40 
+  5  40  55.18 
+  4  56  17.91 

17  21.21 
31  40.98 
25  19.03 
41  14.92 
56  37.39 

17    222 
32    0.30 
25  38.65 
41  34.67 

56  56.88 

16  43.23 
32  19.62 
25  58  27 
41  54.42 
57  16.36 

16  24  23 
32  38.93 
26  17.90 
42  14.17 

57  35.85 

16    5.24 
32  58.25 
26  37.52 
42  33.92 
57  55.33 

15  46.24 
33  17.58 
26  57.15 
42  53.67 
58  14.82 

15  27.25 
33  36.90 
27  16.78 
43  13.42 
58  34.31 

+76  55  25  CO 
+73  42  12.28 
+  69  37.45 

55  45.07 
42  32.28 
9  57.40 

56    5.15 
42  52.28 
10  17.34 

56  25.22 
43  12.28 
10  37.28 

56  45.30 
43  32.28 
19  5?.2-,> 

57    5.38 
43  52.28 
11  17.17 

57  25.45 
44  12.28 
11  37.11 

57  45.53 
44  32.28 
11  57.05 

92 


SPECIAL  TABLES. 


TABLE  XXIV.-*/3Hydri. 

h    m                                                o      / 

R.A.  0  18.9.                       Dec.  —  77  59. 

Upper  transit  at  fictitious  meridian. 

AQa 

A.d 

Side- 
real 

A 

AQ(5 

A 

AQc5  ' 

Day. 

u  . 

Sid^rpil  T)*iv 

Mean.  Day. 

1870. 

Var.  in 
lOy. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  a. 

1865. 

8                     " 

18 

8 

J3-,, 

0 

—1.811 

+3.51 

+0.630 

—5.57 

100 

2.031 

2.94 

0.894 

5.18 

8 

;/ 

200 

2.233 

2.34 

1.151 

4.74 

0,  Jan.  0 

—  0.76 

-0.578 

+17 

—932 

—20.11 

—  0 

+  74 

300 

2.416 

1.72 

1.397 

4.27 

10 

+  9.21 

1.490 

21 

887 

19.06 

1 

135 

400 

2.578 

1.08 

1.631 

3.76 

20 

19.18 

2.343 

24 

815 

17.43 

2 

192 

30 

29.15 

3.113 

26 

720 

15.25 

3 

242 

1866. 

18 

74. 

Feb.  9 

8.13 

3.778 

28 

605 

12.61 

4 

286 

0 

—2.526  +1.30 

+1.554 

—3.94 

19 
Mar.  1 
11 
21 

18.10 
0.07 
10.04 

20.02 

4.322 

4.730 
4.991 
5.099 

28 
28 
27 
25 

'478 
336 
185 
—  29 

9.56 
6.18 
—  2.57 
+  1.21 

4 
5 

5 
5 

323 
351 
371 
382 

100 
200 
300 
400 

2.673 
2.797 

2.897 
2.971 

0.66 
+0.01 
—0.64 
1.29 

1.779     3.41 

1.989     2.85 
2181      2.27 
2.356[     1.68 

31 

29.99 

5.049 

22 

+130 

5.05 

5 

385 

1867. 

1875. 

100,  Apr.  10 
20 

8.96 
18.93 

4.839 
4.473 

18 
14 

289 
444 

8.88 
12.62 

5 
5 

380 
367 

0 
100 

—2.949!—  1.07 
3.007     1.71 

+2.299 
2.461 

—1.88 
1.28  1 

30 
May  10 

20 

28.91 

8.88 
18.85 

3.954 
3.29:1 
2.502 

9 
+  4 
—  2 

592 

851 

16.18 
1950 
22.51 

5 
4 
4 

346 
317 

282 

200 
300 
400 

3.038     2.33 
3.0421    293 
3.020|     3.50 

2  602     0.66 
2.7211—0.04 

2.818J+0.58 

30 

28.83 

1.599 

7 

954 

25.13 

3 

241 

1868  B. 

1876  B. 

June  9 

7.80 

—0.603 

13 

1035 

27.31 

2 

193 

19 

17.77 

+0.462 

18 

1091 

28.99 

1 

142 

0 

—3030 

—3.31 

+2.788 

+0.37 

29 

27.74 

1.569 

24 

1118 

30.14 

—  1 

88 

100 

2.991 

3.87 

2.871 

0.98 

July  9 

7.72 

2.688 

28 

1116 

30.73 

0 

+  30 

200 

2.925 

4.39 

2.928 

1.59 

300 

2.834 

4.87 

2.962 

2.19 

200,          19 

17.69 

3.789 

33 

1083 

30.74 

+  I 

-  28 

400 

2.719 

5.30 

2.971 

2.77 

29 

27.66 

4.842 

37 

1017 

30.18 

2 

84 

Aug.  8 

6.63 

5.814 

39 

922 

29.06 

3 

138 

1869. 

1877. 

18 
28 

16.61 

26.58 

6.676 
7.401 

41 

43 

798 
650 

27.43 
25.33 

3 

4 

188 
231 

0 
100 

—2.760 
2.629 

—5.16 

5.57 

+2.97IJ+2.58  '• 
2.964     3.14 

Sept.  7 
17 
27 

5.55 
15.53 

25.50 

7.967 
8.356 

8.557 

43 
42 

40 

481 

298 
+104 

22.85 
20.08 

17.07 

4 
5 
5 

265 
291 
305 

200 
300 
400 

2.476 
2.301 
2.107 

5.93 
6.23 

6.48 

2.933 

2.878 

3.68 
4.19 
4.66 

Oct.    7 

5.47 

8.564 

38 

-  89 

14.00 

5 

307 

1870. 

1878. 

17 

15.44 

8.380 

34 

277 

10.97 

5 

297 

0 

—2.1751—6.40  +2.828I-M.51 

300,          27 

25.42 

8.013 

30 

452 

8.09 

4 

276 

100 

1.969     6.61  ij    2733 

4.96 

Nov.  6 

4.39 

7.482 

26 

607 

5.49 

4 

242 

200 

1.747 

6.77     2.616 

5.37 

16 

14.36 

6.808 

21 

737 

3.28 

3 

199 

300 

1.510 

6.86      2.476 

5.74 

26 
Dec.   6 

24.33 
4.31 

6.017 
5.143 

16 
11 

837 
906' 

1.54 

+  0.35 

3 
2 

147 

90 

400 

1.261 

6.90      2.310 

6.06 

1871. 

1879. 

16 
26 
36 

14.28 
24.25 
34.22 

4.216 
3.269 
+2.334 

6 
—  1 

+  3 

942 
946 

—918 

-  0.24 
—  0.21 
+  0.46 

—  1 

-  28 
+  35 
+  97 

0 
100 
200 

—1.346 

1.090 
0.826 

—6.89] 
6.89 
6.83| 

+2,372 
2.197 

2.006 

+5.96 
6.24 

6.48 

300     ft  r>r^ 

671 

1.797 

6.66 

400 

o!28J 

U«  /  J 

6.53 

L572 

6.79 

1872  B. 

1880  B. 

*  6  0,                  March  25.4. 

| 

^c  6  Mean  Sun,     March  27.0. 

0—0.374  —  6.60i  +1.6491+6.76 

*  8  Mean  Sun,     Sept.  25.6. 

100—0.098 

6.39 

1.415 

6.85 

200+0.178     6.12 
300     0.451     5.81 

J.lGti! 

0.911 

6.88  1 
6.85  1 

400+0.720—5.44  +0.645+6.77 

1 

SPECIAL  TABLES. 


93 


TABLE  XXIV.-tf  Ceti. 

h    m                                                    01 

R.A.  0  37.1.                       Dec.  —  18  42. 

Upper  transit  at  fictitious  meridian. 

A    a 

A    6 

' 

Side- 
real 

AQa 

A    j 

A^a      And 

. 

0 

Day. 

06 

M.6  Jin  D  ciy  . 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

7ar.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                      " 

1873. 

8                     " 

0  +0.452 

+2.88 

—0.795!-  5.  16 

100 

0.361 

2.27 

0.729 

4.71 

8 

// 

200 

0.267 

1.64 

0.656 

4.23 

0,  Jan.  0 

—  0.75 

+0.025 

+  3 

—123 

-  7.75 

+  1 

—  60 

300 

0.170 

1.00 

0.579 

3.71 

10 

+  9.22 

—0.098 

3 

123 

8.22 

35 

400 

0.072 

0.35 

0.499 

3.16 

20 

19.19 

0.221 

3 

120 

8.45 

+  1 

—  11 

30 

29.17 

0.336 

3 

110 

8.43 

0 

+  16 

1866. 

1874. 

Feb.   9 

8.14 

0.440 

2 

96 

8.13 

0 

43 

0 

+0.105+0.57 

—0.525 

—3.35 

19 
Mar.   1 
11 
21 

18.11 

0.08 
10.06 
20.03 

0.527 
0.590 
0.627 
0.629 

2 

+  1 
0 

0 

76 
51 
—  20 
+  17 

7.57 
6.72 
5.62 
4.27 

0 

—  1 
1 
1 

71 

98 
123 

148 

wo 

200 
300 
400 

+0.006 
-0.093 
0.191 
0.287 

—O.Ob 
0.73 
1.38 
2.02 

0.441 

0.353 

O.'l69 

2.78 
2.20  i 
1.59  j 
0.98  i 

31 

30.00 

0.592 

0 

55 

2.67 

2 

172 

1867. 

1875. 

100,  Apr.  10 

8.97 

0.519 

0 

95 

-  0.83 

2 

193 

0 

—0.255—1.80 

—0.201  —1.19 

20 

18.95 

0.401 

—  1 

139 

+  1.18 

2 

210 

100 

0.350 

2.43 

0.107—0.57 

30 
May  10 

20 

28.92 

8.89 
18.86 

0.242 
—0.042 
+0.195 

1 

2 

2 

180 
219 
254 

3.36 
5.65 

8.02 

3 
3 
3 

225 
234 
238 

200 
300 
400 

0.44* 
0.531 
0.613 

3.03 
3.61 
4.15 

—0.013 
+0.082 
0.175 

+0.06 
0.68 
1.30  1 

30 

28.84 

0.464 

2 

281 

10.41 

3 

238 

1868  B. 

1876  B. 

June  9 

7.81 

0.757 

3 

305 

12.77 

3 

231 

19 

17.78 

1.072 

3 

320 

15.01 

2 

218 

0 

—0.585 

—3.97 

+0.144  +1.09 

29 

27.75 

1.394 

3 

324 

17.12 

2 

201 

100 

0.665 

4.49 

0.237 

1.70 

July    9 

7.73 

1.718 

4 

323 

19.02 

2 

178 

200 

0.739 

4.97 

0.328 

2.30 

300 

0.806 

5.40 

0.416     2.83  i 

200,          19 

17.70 

2.0*37 

4 

312 

20.67 

2 

150 

400 

0  866     5.79 

0.50  1!     3.43 

29 

27.67 

2.339 

3 

293 

22.01 

1 

118 

Aug.  8 

6.65 

2.621 

3 

269 

23.03 

1 

85 

1869. 

1877. 

18 
28 

16.62 
26.59 

2.874 
3.093 

3 
2 

237 
201 

23.70 
24.00 

1 
—  1 

48 
+  13 

0 

100 

—  0.84C 
0.901 

—5.67 
6.02 

+0.472 
0.555 

+3.26 
3.79 

Sept.  7 
17 
27 

5.56 
15.54 
25.51 

3.276 
3.420 
3.524 

2 
2 

1 

164 
124 

85 

23.96 
23.59 
22.91 

0 
0 
+  1 

—  21 
53 

81 

200 
300 
400 

0.94b 
0.9.-7 
1.017 

6.32 
6.57 
6.75 

0.633 
0.705 
0.773 

4.30  j 
4.77 
5.21 

Oct.    7 

5.48 

3.591 

—  1 

47 

21.99 

103 

187O. 

1878. 

17 

15.45 

3.619 

0 

+  11 

20.87 

2 

121 

0 

—  .008—6.70 

+0.75C 

+5.06  ! 

3CO,          27 

25.43 

3.615 

0 

—  19 

19.60 

2 

131 

101 

.03^ 

6.84 

0.8lo 

5.47  i 

Nov.  () 

4.40 

3.583 

+  1 

47 

18.26 

o 

135 

200 

.047 

6.93 

0.870 

5.83 

16 

14.37 

3.523 

2 

71 

16.91 

2 

133 

300 

.053 

6.96 

0.919     6.15 

26 

24.34 

3.442 

2 

88 

15.61 

1 

126 

401. 

.051 

6.93 

0.961     6.41 

Dec.  6 

4.32 

3.346 

2 

103 

14.41 

1 

113 

1871. 

1879. 

16 
26 
36 

14.29 
24.26 
+34.23 

3.235 
3.117 

+2.992 

2 
2 
+  2 

115 
122 
—125 

1336 
12.51 
+11.88 

1 

1 
+  1 

95 
74 
—  51 

0 
100 
20t 

—  .053 

.044 
.026 

—6.95 

(5.88 
6.75 

+0.948 
I    0.98, 
1.013 

+G.33 
6.56 
6.73 

300 

.000 

6.56 

1  O'V 

t\  K^ 

400 

0^965 

1.045^    6.57 

1872  B. 

1880  B. 

%  6  ©                   March  30.4. 

>fc  <3  Mean  Sun,     March  31.6. 

0 

—0.978 

—6.41 

+1.042+6.90 

100 

0.938 

6.13 

1.048 

G.U2  i 

200 

0.890 

581 

1.045 

6.  £9  ' 

300 

0.835 

5.43 

1.033 

6.'79 

400 

—0.773—  5.0:2  +1.012 

+6.64 

SPECIAL  TABLES. 


TABLE  XAIV.~  *21  Cassiopca?. 

h    m                                                    °       ' 

R.A.  0  37.1.                       Dec.  +74  16. 

Upper  transit  at  fictitious  meridian. 

A0a 

A0(J 

Side- 
real 

Aaa 

AQ(5 

AQfl 

Arf 

Day. 

Sidereal  Day. 

Mean  Day. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 

10  y. 

Diff  for 
10  d. 

1865. 

8                    " 

1873. 

H                     " 

0 

+2.535 

+2.88 

—  2.1  P9—  5.16 

100 

2.546 

2.28 

2.291 

4.71 

8 

// 

200 

2.535 

1.6: 

2,374 

4.23 

0,  Jan.   0 

—  0.75 

+0.218 

+15 

-693 

+19.32 

+  1 

+  30 

300 

2.501 

1.01 

2.438 

3.71 

10 

+  9  22 

-0.485 

13 

706 

19.31 

1 

-  32 

400 

2.446 

0.3(5 

2.481 

3.16 

20 

19.19 

1.184 

10 

688 

18.69 

2 

92 

30 

29.17 

1.851 

6 

643 

17.48 

3 

149 

1866. 

IS' 

"4. 

Feb.  9 

8.14 

2.461 

+  3 

572 

15.74 

4 

198 

0 

+2.4671+0.58 

—2.469 

—3.35 

19 
Mar.  1 
11 
21 

18.11 

0.08 
1006 
20.03 

2.987 
3.404 
3.693 
3.840 

—  1 
4 

7 
10 

475 
356 
220 
—  72 

13.54 

10.98 
8.16 
5.20 

5 
5 
6 
6 

240 
271 

291 

299 

100 
200 
300 
400 

2.398 
2.308 
2.19? 
2.067 

—O.Ob 
0.7:^ 
1.38 
2.0] 

2.498 
2.50? 
2495 
2.462 

2.79 
2.20 
1.60 
0.98 

31 

30.00 

3.836 

13 

+  81 

+  2.22 

6 

293 

1867. 

1875. 

100,'  Apr  10 

897 

3.678 

14 

234 

—  0.65 

5 

278 

0 

+2.113 

—  1.8C 

—2.476—1.19 

20 

18.95 

3.370 

16 

381 

3.30 

5 

252 

100 

1.970 

2.42 

2.430—0.57 

30 

28.92 

2.921 

16 

516 

5.65 

4 

216 

200 

1.812 

2.3644-0.06 

May  10 

8.89 

2.344 

16 

634 

7.60 

4 

172 

300 

1.63? 

3^60 

2  279 

0.68 

20 

18.86 

1.660 

15 

732 

9.08 

3 

124 

400 

1.448 

4.15 

2.174 

1.30 

30 

28.84 

0.887 

14 

808 

10.05 

2 

71 

1868  B. 

1S7< 

>  B. 

June  9 
19 

7.81 
17.78 

—0.052 
+0.8-24 

12 

9 

860 

887 

10.49 
10.36 

+  1 
0 

-  16 

+  40 

0 

+1.513—3.9? 

—2.212+1.09 

29 

27.75 

1.715 

6 

890 

9.70 

—  1 

94 

100 

1.316     4.49 

2.096 

1.70 

July  9 

7.73 

2.597 

872 

8.50 

2 

145 

200 

1.107 

4.9? 

196-2 

2.30 

300 

0.889 

540 

1.813 

2.88 

200,          19 

17.70 

3.451 

+  1 

832 

6.80 

3 

193 

400 

•0.664     5.79 

1.647 

3.44 

29 

27.67 

4.255 

4 

773 

4.65 

4 

237 

Aug.  8 

6.65 

4.991 

8 

698 

—  2.09 

4 

275 

1869. 

1877. 

18 
28 

16.62 
26.59 

5.647 
6.209 

12 
15 

611 
512 

+  0.83 
4.03 

5 
6 

307 
333 

0 
100 

+0.740 
0.511 

—5.6? 

6.02 

-1.705+3.25 
1.531:     3.79 

Sept.  7 
17 

27 

5.56 
15.54 
25.51 

6.668 
7.018 
7.254 

18 
22 
26 

406 
294 
177 

7.46 
11.05 
14.72 

6 
6 
6 

352 
364 
369 

200 
30C 
400 

0.278 
+0.044 
—  0.19J 

6.3-2 

6.56 
6.75 

1.344 
1.145 

0.937 

4.30 
4.77 
5.21 

Oct.    7 

5.48 

7.372 

28 

+  58 

18.39 

6 

365 

187O. 

1878. 

17 

15.45 

7.373 

32 

—  58 

22.00 

6 

355 

0 

—0.111 

—670 

—1.009 

+5.06 

300,         27 

25.43 

7.257 

33 

173 

25.46 

6 

336 

100 

0.346 

6.84 

0.795 

5.47 

Nov.  6 

4.40 

7029 

34 

284 

28.69 

5 

309 

200 

0.57? 

6.93 

0.574 

5.83 

16 

14.37 

6.692 

•  35 

388 

31.61 

5 

274 

300 

0.8001     6.90 

0.34? 

6.15 

26 

24.34 

6.256 

35 

482 

34.14 

4 

232 

400 

1.017J    6.93 

0.11? 

6.41 

Dec    6 

4.32 

5.732 

35 

565 

36.21 

3 

182 

1871. 

1879. 

16 
26 
36 

14.29 
24.26 
34.23 

5.132 

4.476 
+3.784 

34 
32 

+30 

631 

678 
—703 

37.77 

38.74 
+39.12 

2 

1 
—  0 

127 

68 

+    7 

0 
100 
200 

—0.944 
1.156 
1.356 

—6.95 

6.7,5 

—  0.195+6.33 
+0.036     6  56 
0.268,    6.73 

1 

! 

300 

1.545 

6.5P 

0.498 

6.85 

400 

1.720     6.32 

0.724 

6.91 

1872  B. 

1880  B. 

*  6  ©,                 March  30.4. 
^  6  Mean  Sun,     March  31  6. 

0 

—1.662 

—6.41 

+0.648+6.90 

*  8  Mean  Sun,     Sept.  30.2. 

!    100 

i  200 

1.828 
1.978 

6.13'!     0.8711     6.92 
6.81      1.087     6.89 

300 

2.111 

5.43!!     1.295 

6.79 

400 

—2.226 

—5.01  +1.492  +6.64 

SPECIAL  TABLES. 


95 


TABLE  XXIV.-e  Pisclum. 

h    m                                                      °      ' 

R.A.  0  56.2.                          Dec.  +7  11. 

Upper  transit  at  fictitious  meridian. 

AQa 

A0d 

Side- 
real 

Ar^a 

A^d 

AQa 

Sidereal  Da 

Day 

1870. 

Var.  in 
10  y. 

Diff.  foi 
]0d. 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

1873. 

0 

+0.703 

+2.20 

—0.964 

—4.69 

100 

0.624 

1.56 

0.918 

4.19 

8 

// 

200 

0.539 

0.91 

0.864 

3.66 

0,  Jan.    0 

—  0.74 

+0.155 

+  3 

—112 

+  1.24 

+  1 

—  66 

300 

0.450 

+0.25 

0.803 

3.10 

10 

+  9.23 

+0.041 

3 

116 

+  0.56 

2 

70 

400 

0.356 

—0.41 

0.736 

2.51 

20 

19.21 

—0.076 

3 

118 

—  0.15 

2 

70 

30 

29.18 

0.193 

2 

115 

0.84 

2 

68 

1866. 

1874. 

Feb.  9 

8.15 

0.303 

2 

104 

1.50 

1 

63 

0 

+0.388 

—0.19 

—0.759 

—2.71 

19 
Mar.  1 
11 
21 

18.12 

0.10 
10.07 
20.04 

0.399 
0.475 
0.526 
0.543 

2 

87 
65 
-  35 
0 

2.09 
2.58 
2.92 

3.08 

1 
1 
1 
1 

55 
42 
26 

—    7 

100 
200 
300 
400 

0.292 
0.193 
+0.093 
—0.008 

0.85 
1.50 
2.14 
2.77 

0.688 
0.611 
0.529 
0.443 

2.11 

1.50 
0.87 
0.24 

31 

30.02 

0.525 

+  39 

3.04 

+  1 

+  15 

1867. 

1875. 

100,  Apr.  10 
20 
33 

8.99 
18.96 
28.93 

0.465 
0.363 
0.219 

— 

81 
123 
166 

2.77 
2.24 
1.45 

0 
0 
—  1 

40 
66 
92 

C 
100 
200 

+0.027 
—0.075 
0.175 

—2.56 
3.17 
3.74 

-0.473 
0.384 
0.293 

—0.45 
+0.18 
0.81 

May  10 

8.91 

-0.032 

2 

206 

-  O.il 

.    1 

117 

30( 

0.274 

4.29 

0.199 

1.44 

20 

18.88 

+0.192 

2 

241 

+  0.88 

2 

141 

400 

0.370 

4.80 

O.lOiJ 

2.05 

30 

2885 

0.449 

* 

271 

2.40 

2 

161 

1868  B. 

1876  B. 

June  9 

7.82 

0.732 

2 

294 

4.09 

2 

177 

19 

17.80 

1.035 

2 

309 

5.93 

2 

190 

0 

—0.338 

—4.63 

-0.136 

+1.84 

29 

£7.77 

1.348 

2 

316 

7.88 

2 

197 

IOC 

0.432 

5.11 

—0.040 

2.45 

July  9 

7.74 

1.663 

2 

315 

9.86 

2 

200 

200 

0.522 

5.55 

+0.057 

3.03 

3CK 

06U7 

5.93 

0.153 

3.58 

1200,          19 

17.71 

1.975 

2 

306 

11.85 

2 

197 

400 

0.687 

6.26 

0.248 

4.11 

29 

27.69 

2.273 

2 

289 

13.78 

2 

187 

Aug.  8 

6.66 

2.551 

1 

267 

15.59 

3 

175 

1869. 

1877. 

18 
28 

16.63 
26.61 

2.806 
3.030 

1 
1 

240 
208 

17.29 
18.77 

2 
2 

159 

139 

0 
KM) 

—0.661 
0.737 

—6.16 
6.46 

+0.916 
0.309 

+3.94 
4.45 

Sept.  7 
17 
27 

5.58 
15.55 
25.52 

3.222 
3.379 
3.502 

1 
—  1 

0 

175 

140 
105 

20.06 
21.14 
21.96 

2 
2 
2 

119 
95 
71 

20( 

300 
400 

0.806 
0.869 
0.923 

6.69 
6.87 
6.99 

0.401 
0.489 
0.573 

4.92 
5!74 

Oct.    7 

5.50 

3.589 

71 

22.57 

1 

50 

187O. 

1878. 

17 

15.47 

3.645 

1 

40 

22.96 

1 

29 

0 

—0.906 

—6.96 

+0.545 

+5.61 

300,          27 

25.44 

3.670 

2 

+  11 

23.15 

—  1 

+    9 

100 

0.95?, 

7.04 

0.626 

5.97 

Nov.  6 

4.41 

3.667 

2 

—  17 

23.14 

0 

—    9 

200 

0.996 

7.07 

0702 

6.^7 

16 

1439 

3638 

3 

40 

k22.97 

0 

24 

SOU 

1.028 

7.02 

0.773 

6.53 

26 

24.36 

3.588 

3 

60 

22.67 

0 

37 

400 

1.052 

6.92 

0.838 

6.73 

Dec.  6 

4.33 

3.519 

3 

78 

22.23 

0 

48 

1871. 

1879. 

16 
26 
36 

14.30 
24.28 
34.25 

3.432 
3.332 
+3.223 

4 
4 

+  5 

94 
105 
—113 

21.71 
21.12 

+20.47 

0 
0 

+  1 

56 
63 

—  68 

0 
100 

200 

—1.045 
1.062 
1.070 

—6.96 
6.82 
6.62 

+0.816 
0.876 
0929 

+6.67 
6.84 
6.95 

«tnn 

1   (\*?C\ 

6«J7 

fi  Q"7J. 

7.00 

400 

l!o60 

•  Of 

6.06 

l!oi2 

6^99 

1872  B. 

188O  B. 

*  6  ©,                  April  4.7. 
>fc  <3  Mean  Sun,     April  5.4. 

0 
100 

—1.0641—6.17 
1.048     5.83 

+  1.0001 
1.031 

+7.00 
6.95 

200 

1.024     5.44 

1.C55 

6.85 

300 

0.991      5.00 

1.069     (Ui'S 

400—  0.95C|—  4..r.3j!+1.074  +6.47 

SPECIAL  TABLES. 


TABLE  XXIV.—  *  a  UPS®  Minoris.* 

h    m                                                     o      / 

E.A.  1  11.3.                       Dec.  +  88  37. 

Upper  transit  at  fictitious  meridian. 

A0a 

A.* 

Side- 
real 

AQa 
0 

A    d 

AQa 

Day. 

0 

0 

Sidereal  Day. 

Mean  Day 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

s             " 

1873. 
s             " 

0 

+23.31 

+  1.70 

—17.91 

-4.28 

100 

24.07 

1.04 

19.48 

3.74 

s 

// 

200 

24  62 

+0.37 

20.89 

3.17 

0,  Jan.    0 

—  0.73 

+10.68 

+123 

—858 

+20.07 

—  5 

+113 

300 

24.96 

—0.30 

22.12 

2.57 

10 

+  9.24 

+  1.90 

9* 

893 

20.88 

-  1 

+  48 

400 

25.07 

0.97 

23.16 

1.95 

20 

19.22 

—  7.06 

58 

893 

21.03 

+  4 

—  18  ; 

30 

29.19 

15.85 

+  22 

880 

20.52 

9 

83  j 

1866. 

187-4. 

Feb.   9 

8.16 

24.14 

—  15 

793 

19.39 

15 

143 

0 

+25.06 

—0.74 

—22.84 

—2.16 

19 

18.14 

31  60 

51 

694 

17.68 

18 

197 

100 

25.03 

1.41 

23.76 

1.53 

Mar.   1 
11 
21 

0.11 

10.08 
20.05 

37.94 
42.92 
46.36 

85 
115 

140 

570 
423 
263 

15.47 

12.86 
9.96 

22 
24 

26 

243 
277 

300 

200 
300 
400 

24.78 
24.31 
23.63 

2.06 
2.70 
3.3J 

24.49 

'25.02 
'25.33 

0.89 
—0.24 
+0.40 

31. 

30.03 

48.  !6 

159 

—  93 

6.89 

27 

311 

1867. 

1875. 

100,  Apr.  10 
20 

9.00 

18.97 

48.22 
4661 

172 

+  78 
243 

3.78 
+  0.75 

27 
26 

309 
295 

0 

100 

+23.87 
23.06 

—3.11 
3.71 

—25.26 
25.43 

+0.18 
0.83  ; 

30 

28.94 

43.40 

178 

397 

-  2.09 

24 

271 

200 

22.03 

4.27 

25.41 

1.47 

May  10 

8.92 

38.72 

170 

536 

4.64 

21 

237 

300 

20  82 

4.79 

25.15 

2.09 

20 

18.89 

32.74 

157 

655 

6.82 

18 

196 

400 

19.41 

5.27 

24.70 

2.70  ! 

30 

28.88 

25.69 

137 

752 

8.55 

15 

149 

1S6SB. 

1  876  15  . 

June  9 

7.83 

17.78 

112 

826 

9.79 

11 

97 

19 

17.81 

9.26 

8* 

876 

10.49 

6 

—42 

0 

+19.91 

—5.11 

—24.87 

+;2.50 

29 

27.78 

—  0.34 

49 

903 

10.63 

+  1 

+  13 

100 

18.39 

5.56 

24.2- 

3.09 

July   9 

7.75 

+  8.72 

—  14 

906 

10.24 

—  4 

67 

200 

16.71 

5.96 

23.49 

3.66 

300 

14.89 

6.31 

22.50 

4.20 

200,          19 

17.73 

17.71 

+  23 

889 

9.30 

8 

120 

400 

12.93 

6.60 

21.32 

4.70 

29 

27.70 

26.43 

63 

852 

7.84 

13 

171 

Aug.  8 

6.67 

34.68 

104 

798 

5.89 

18 

218 

1869. 

1877. 

18 
28 

16.64 
26.62 

42.29 
49.11 

141 
177 

724 

637 

3.50 
—  0.71 

22 

26 

260 
298 

0 
100 

+13.61 
11.58 

—6.51 
6.76 

—21.74 

20.43 

+4.53 
5.01 

Sept.  7 
17 

27 

5.59 
15.56 
25.53 

54.99 
59.79 
63.45 

212 
244 
273 

536 
425 

302 

+  2.43 
5.84 
9.47 

29 
31 
33 

329 
353 
371 

200 
300 
400 

9.45 
7.24 
4.98 

6.95 

7.08 
7.15 

18.95 
17.31 
15.52 

5.45 

5.84 
6.19 

Oct.    7 

5.51 

6x82 

298 

172 

13.24 

34 

382 

187O. 

1878. 

17 

15.48 

66.85 

317 

+  35 

17.08 

35 

384 

0 

+  5.73 

—7.13 

—16.14 

+6.07 

300,          27 

25.45 

66.49 

331 

—107 

20.89 

34 

377 

100 

3.42 

7.16 

14.20 

6.3d 

Nov.   6 

4.43 

64.71 

339 

249 

21.59 

33 

362 

200 

+  1.09 

7.1-2 

12.25 

6.64 

16 

14.40 

61.51 

341 

389 

28.10 

32 

337 

300 

—  1.25 

7.0-2 

10.12 

6.84 

26 

24.37 

56.95 

337 

522 

31.31 

30 

303 

400 

3.58 

6.87 

7.91 

6.99 

Dec.    6 

4.34 

51.12 

326 

642 

34.14 

26 

261 

1871. 

1879. 

16 
26 
36 

14.32 
24.29 
34.26 

44.16 
36.28 
+27.74 

.    309 
286 
+258 

745 

826 

—876 

3850 
38.31 
+39.55 

22 

18 
—13 

209 
153 
+  96 

0 
100 

200 

—  2.79 
5.10 
736 

—6.93 
6.73 
6.48 

—  8  6f: 
el  32 

4.06 

+6.94 
7.05 
7.10 

300 

9.56 

6.17 

1  6c 

7.09 

400 

Ih68 

5^81 

+  0.73 

7.02 

1873  B. 

1SSOB. 

•K  6  ©,                 April  8.8. 

>!<•  6  Mean  Sun,     April  9.2. 

0 

-10.98 

—5.93 

—  0.09 

+7.05 

>|<  S  Mean  Sun,     Oct.  8.8. 

100 

13.03 

5.54 

+  2.3:) 

6.94 

200 

14.97 

5.10 

4.73 

6.77 

t  See  pages  249.  251-253  for  additional  corrections. 

300 

16.79 

4.62 

7.10 

6.54 

400 

—18.46 

—4.10 

+  9.43 

+6.25 

SPECIAL  TABLES. 


97 


TABLE  XXIV.—  0l  Ceti. 

| 

h    m                                                      o      ' 

R.A.  1  17.5.                         Dec.  —8  51. 

Upper  transit  at  fictitious  meridian. 

Aott 

A0d 

Side- 
real 

AQa 

Ao^ 

AQa 

AQd  1 

Sidereal  Day. 

Me  tin  Dfiy. 

Day. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Vnr.  in 
10  y. 

Diff.  for 

10  d. 

1865. 

8                     " 

1873. 

8                    " 

0 

+0.546 

+  1.42 

—0.85-2 

-4.13 

100 

0.46J 

0.75 

0.794 

3.58 

8 

// 

200 

0.372 

+0.08 

0.730 

3.00 

0,  Jan.   0 

—  0.72 

+0.273 

+  3 

—  113 

—  4.43 

+  1 

—  79 

300 

0.280 

—0.59 

0.661 

2.39 

10 

+  9.25 

0.156 

3 

121 

5.16 

2 

64 

400 

0.185 

1.26 

0.586 

1.77 

20 

19.22 

+0.032 

3 

125 

5.70 

2 

46 

30 

29.19 

—0.093 

3 

125 

6.08 

1 

28 

186<». 

1874. 

Feb.    9 

8.17 

0.215 

3 

117 

6.25 

1 

—    7 

0 

+0.217 

-1.04 

-0.612 

—1.98 

19 
Mar.    1 
11 
81 

18.14 

0.1  1 

10.08 
20.06 

0.324 
0.418 
0.489 
0.529 

2 
2 
2 
1 

103 
84 
57 
—  23 

6.22 
5.95 
5.45 
4.71 

+  1 
0 
0 
0 

+  15 

38 
61 
86 

100 
200 
300 
400 

0.120 
+0.023 
—0.074 
0.171 

1.70 
2.35 
2.98 
3.58 

0.534 
0.451 
0.365 
0.276 

1.35 
071 

—0.06 
+0.59 

31 

30.03 

0.534 

+  1 

+  14 

3.73 

—  1 

110 

1867. 

1875. 

100,  Apr.  10 

9.00 

0.500 

0 

55 

2.52 

1 

133 

0 

—0.139 

—3.38 

—0.307 

+0.37 

20 

18.97 

0424 

—  1 

97 

—  1.07 

1 

156 

100 

0.235 

3.96 

0.216 

1.01 

30 

28.95 

0.306 

2 

140 

+  0.59 

2 

176 

200 

0.329 

4.51 

0.125 

1.65 

May  10 
20 

8.92 
18.89 

—0.144 
+0.057 

2 
2 

182 

220 

2.44 
4.44 

2 
3 

193 
206 

300 
400 

0.420 
0.507 

5.02 

5.48 

—0.032 
+0.062 

2.27 

2.87 

30 

28.87 

0.295 

2 

253 

6.54 

3 

215 

1868  B. 

1876  B. 

June  9 

7.84 

0.561 

3 

279 

8.72 

3 

219 

19 

17.81 

0.851 

3 

300 

10.91 

3 

217 

0 

—0.478—5.3:. 

+0.030+2.67 

29 

27.78 

1.158 

3 

311 

13.05 

3 

210 

100 

0.562 

5.76      0.123 

3.25 

July  9 

7.76 

1.470 

3 

313 

15.09 

3 

196 

200 

0.642 

(i.14 

0.215 

3.81 

300 

0.715     6.47 

0.305 

4.34 

200,           19 

17.73 

1.781 

3 

310 

16.97 

2 

178 

40C 

0.782     6.74 

0.393 

4.83 

29 

27.70 

2.087 

2 

298 

18.65 

2 

156 

, 

Aug.  8 

6.67 

2.374 

2 

278 

20.08 

2 

129 

1869. 

1877. 

18 
28 

1665 
26.62 

2.642 

2.881 

2 
2 

254 
225 

21.23 
22.06 

2 

1 

99 
67 

0 
100 

—  0.76C 
0.823 

-6.66 

6.S8 

+0.36S 
0.449 

+4.68 
5.14 

Sept.  7 
17 
27 

5.59 
15.57 
25.54 

3.091 
3.267 
3.407 

2 
1 
1 

193 
158 
123 

22.58- 
22.79 
2-2.69 

1 
1 

—  1 

38 
+    5 
—  24 

200 
300 
40(1 

0.879 
0.926 
0.966 

7.05 
7.16 
7.21 

0.531 
0.609 
0.68-2 

557 
5.95 
6.28 

Oct.    7 

5.51 

3.514 

—  1 

90 

2232 

0 

50 

187O. 

1878. 

17 

15.48 

3.587 

0 

57 

21.70 

0 

72 

C 

—0.953 

-7.20  +0.658+6.17 

i  300,          27 

25.46 

3.629 

0 

+  26 

20.90 

0 

88 

100 

0.987 

7.20'      0.7*7 

6.47 

Nov.  6 

4.43 

3.640 

+  1 

—    3 

19.95 

0 

100 

2GO 

1.012 

7.14 

0.791 

672 

16 

14.40 

3.623 

2 

30 

18.91 

0 

107 

300 

1.029 

7.02 

0.84t 

6.90 

26 

24.37 

3.581 

2 

52 

17.83 

+  1 

108 

40C 

1.036 

6.84 

0.89e 

7.04 

Dec.   6 

4.35 

3.519 

3 

72 

16.77 

1 

105 

1871. 

1879. 

16 
26 
36 

14.32 
24.29 
34.27 

3.438 
3.339 
+3.228 

3 

3 

+  3 

91 
106 
—116 

15.74 
14.81 

+14.00 

+  1 

0 
0 

98 
87 
—  74 

0 
100 
200 

—1.035 
1.037 
1.030 

-6.91 
6.69 
6.42 

+0.83-2+7.CO 
0.928J    7  09 
0.965!    7.13 

1.014     6.09 

0.995 

7.10 

400 

0.990     5.71 

1.017 

7.02 

1872  B. 

1880  B. 

*  d  0,                 April  10.5. 
>fc  d  Mean  Sun,     April  10.8. 

0 
100 

-0.999 
0.909 

-5.85 
5.44 

+1.011 
1.027 

+7.C6 
6.93 

200 

0.931 

4.98 

1.034 

6.75 

300 

0.886 

4.49 

1.033 

6.51 

400 

—0.833  —  3.95||+1.023!+6.22 

98 


SPECIAL  TABLES. 


TABLE  XXIV.—  *38  Cassiopcae. 

h    m                                                      °      ' 

R.A.  1  21.6.                      Dec.  +  69  36. 

Upper  transit  at  fictitious  meridian. 

A    a 

A    6 

' 

Side- 
real 

AQa 

AQ(5 

AQa 

AQc> 

- 

Day. 

t 

SidcrCitl  Dtiy, 

TACiUJ-J^ftl^  . 

-t  *»•*-<>     Var.  in  Diff.  for 
1Sy°'   i  10  y.       10  d. 

1870. 

Var.in'Diff.  for 
10  y.       10  d. 

1865. 

8                    " 

1873. 

8                      " 

1 

0 

+2.145+1.28 

—2.039 

-4.03 

100 

2,112+0.61 

2.087 

3.46 

s 

// 

200 

2.060—0.07 

2.117 

2.87 

0,Jan.    0 

—  0.72 

+0.920 

+15  —480 

+  18.19 

—  1 

+  77 

300 

1.989;     0.74 

2.129 

2.26 

10 

+  9.25 

+0.4-22 

14 

512 

18.67 

0 

+  19 

400 

1.901      1.41 

2.124 

1  64 

20 

19.22 

-0.098 

13 

524 

18.56 

+  1 

—  40 

30 

29.20 

0.619 

11 

515 

17.87 

2 

96 

1S66. 

1874. 

Feb.   9 

8.17 

1.121 

9 

484 

16.64 

3 

149 

0 

+1.933 

—1.19 

—2.127 

-1.84 

19 
Mar.   1 
11 
21 

18.14 
0.11 

10.09 
20.06 

1.579 
1.974 

2.284 
2.495 

6 
4 
+  1 
—  1 

430 
355 
263 
156 

14.92 
12.79 
10.33 

7.65 

4 
5 

6 
6 

194 
231 
259 
275 

100 
200 
300 
400 

1.834 
1.719 

1.589 
1.444 

1.85 
2.50 
3.13 
3.73 

2.111 

2.076 
2.025 
1.956 

1.20 
—0.56 
+0.09 
0.74 

31 

30.03 

2.593 

4 

—  40 

4.87 

6 

280 

1867. 

1875. 

100,  Apr.  10 

9.01 

2.574 

5 

+  81 

+  2.09 

6 

274 

0 

+1.495 

—3.53 

—1.981  +0.53 

20 

18.98 

2.431 

7 

202 

—  0.57 

5 

256 

100 

1.342 

4.10 

1.903     1.17 

30 

28.95 

2171 

8 

318 

3.01 

5 

230 

200 

1.178 

4.65 

1.808     1.81 

May  10 

8.92 

1.798 

9 

425 

5.14 

4 

195 

300 

1.003 

5.15 

1.699     2.42 

20 

18.90 

1.325 

10 

519 

6.89 

4 

153 

400 

0.820 

5.60 

1.576     3.02 

30 

2887 

0.765 

9 

598 

8.19 

3 

107 

1868  B. 

1876  B. 

June  9 
19 

g<) 

July   9 

7.84 
1781 
27.79 
7.76 

—0.135 
+0547 
1.261 
1.990 

9 

8 
7 
5 

659 
701 
725 
730 

9.02 
9.33 
9.13 

8.42 

2 

0 
-  2 

57 
—    6 
+  46 
96 

0 
100 
200 
300 

+0.883 
0.695 
0.502 
0.304 

—5.45 

5.88 
6.25 
6.56 

—  .619 

.487 
.343 

.188 

+2.82 
3.41 
3.96 

4.48 

200,          19 

17.73 

2.715         3 

718 

7.22 

3 

144 

400 

0.104 

6.82 

.022     4.97 

29 

27.71 

3.420  —  1 

689 

5.56 

4 

188 

Aug.  8 

6.68 

4.089   +  2 

647 

3.48 

4 

228 

1869. 

1877. 

18 

28 

16.65 
26.62 

4.709 
5.270 

4 

7 

593 
527 

—  1.02 
+  1.76 

5 
6 

263 
292 

0 
100 

+0.172 
—0.029 

—6.74 
6.96 

—1  079 
0.908 

+4.81 
5.27 

200 

0.228 

7.13 

0.729 

5.69 

Sept.  7 

560 

5.761       10 

454 

4.80 

7 

316 

300 

0.426 

7.21 

0.544 

6.06 

17 

15.57 

6.175       12 

374 

8.05 

7 

333 

400 

0.619 

7.24 

0.354 

6.38 

27 

25.54 

6.508  i     15 

290 

11.44 

8 

343 

Oct.    7 

5.51 

6.753       18 

202 

14.89 

8 

347 

1870. 

1878. 

17 

15.49 

6.910       20 

111 

18.35 

8 

344 

0 

—0.554 

—7.24 

_0.418+6.27 

300,          27 

25.46 

6.975 

23 

+  20 

21.74 

8 

333 

100 

0.744 

7.23 

0.2-26     6.56 

Nov.  6 

4.43 

6.950 

25 

—  71 

24.98 

7 

314 

200 

0.926 

7.15 

—0.031 

6.79 

16 

14.40 

6.834 

27 

160 

27.99 

7 

287 

300 

1.100 

7.0* 

+0.165 

6.97 

26 

24.38 

6.631 

28 

245 

30.70 

6 

254 

400 

1.264 

6.83 

0.361 

7.09 

Dec.   6 

4.35 

6.347 

29 

324 

33.04 

6 

212 

1871. 

1879. 

16 
26 
36 

14.32 
24.29 
34.27 

5.987 
5.563 
+5.089 

29 
29 

+28 

394 
452 

—494 

34.92 
36.31 
+37.15 

5 
4 

—  2 

165 
112 
+  55 

0 
100 
200 

—1.2101—6.90 
136?      6.67 
1.512     6.3& 

+0.294 

0.487 
0.677 

+7.06 
7.14 
7.16 

300 

1.644 

6.04 

0.862 

7.12 

400 

1.762     5.64 

1.040 

7.02 

1873  B. 

188O  B. 

*  6  0,                  April  11.6. 
*  6  Mean  Sun,     April  11.9. 
*  8  Mean  Sun,     Oct.  11.5. 

0 
100 

—1.723 
1.831 

-5.80 
5.30 

+0.98! 

i  .  15: 

+7.06 
6.92 

200 

1  923 

4.89 

I-.PI7 

6.73 

300 

1.99!) 

4.3- 

1.469 

6.47 

400 

—2.057 

—3.84 

+  1.611+3.16 

SPECIAL  TABLES. 


99 


TABLE  XXIV.-^Piscium. 

h    m                                                    o      / 

R.A.  1  24.5.                       Dec.  +  14  40. 

Upper  transit  at  fictitious  meridian. 

AQa 

AQ(J           • 

Side- 
real 

A    d 

AQ« 

A    , 

Sidsrcsl  DRV. 

MeanDa 

Day. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d.. 

1865. 

a              " 

1873. 

8                  " 

0 

+0.781 

+1.16 

—1.026 

—3.94 

100 

0.704 

+0.49 

0.984 

3.37 

8  ' 

// 

200 

0.620 

—0.19 

0.934 

2.78 

0,  Jaii.    0 

—  0.72 

+0.336 

+  3 

—Ill 

+  3.70 

+   1 

-  52 

300 

0.531 

0.87 

0.876 

2.16 

10 

+  9.25 

0.219 

4 

122 

3.14 

2 

62 

400 

0.437 

1.54 

0.812 

1.52 

20 

1923 

+0.093 

4 

129 

2.46 

2 

70 

30 

29.20 

—0.038 

4 

131 

1.74 

2 

75 

1866. 

1874. 

Feb.    9 

8.17 

0.166 

* 

125 

0.96 

2 

79 

0 

+0.469 

—1.32 

—0.834 

—1.74 

19 
Mar.   1 
11 

18.14 
0.12 
10.09 

0.285 
0.38S 
0.465 

2 
2 
1 

112 
91 

62 

+  0.16 
-  0.59 
1.28 

3 
3 
2 

78 
73 
63 

100 
200 
300 

0.372 
0.272 
0.170 

1.98 
2.62 
3.24 

0.765 
0.690 
0.609 

1.10 
—0.44 
+0.21 

21 

20.06 

0.511 

1 

-  28 

1.83 

2 

48 

400 

0.066 

3.84 

0.523 

0.86 

31 

30.03 

0.520 

+  1 

+  w 

2.23 

1 

31 

1867. 

1875. 

100,  Apr.  10 
20 
30 
May  10 
20 

9.01 

18.98 
28.95 
8.93 
18.90 

0.487 
0.410 
0.289 
-0.122 

+0.087 

0 
0 
—  1 
1 
2 

55 
100 
144 
189 

228 

2.44 
2.39 
2.09 
1.53 

—  0.70 

0 

0 
0 

—  1 

-     9 
+  17 
43 
69 
96 

0 
100 

200 
300 
400 

+0.101 
-0.004 
0.108 
0.211 
0.313 

—3.64 
4.22 
4.75 
5.25 
5.69 

-0.552 
0.464 
0.371 
0.27G 
0.178 

+0.64 
1.28 
1.92 
2.53 
3.13 

30 

28.87 

0.332 

2 

262 

+  0.39 

1 

122 

1868  B. 

1876  B. 

June  9 

7.84 

0.608 

2 

289 

1.73 

2 

144 

19 

29 

17.82 

27.79 

0.907 
1.222 

2 
2 

308 
319 

3.26 
4.97 

3 
3 

163 
177 

0 
100 

—0.279 
0.378 

—5.55 
5.96 

—0.212 
0.113 

+2.93 
3.51 

July  9 

7.76 

1.543 

2 

323 

6.79 

3 

187 

200 

0.474 

6.33 

—0.013 

4.06 

300 

0.566 

6.63 

+0.087 

4.58 

200,          19 

17.73 

1.865 

3 

318 

8.69 

3 

193 

400 

0.653 

6.88 

0.186 

5.06 

29 

27.71 

2.176 

3 

305 

10.62 

3 

192 

Aug.  8 

6.68 

2.473 

2 

287 

12.50 

3 

187 

1869. 

1877. 

18 
28 

16.65 
26.62 

2.749 
2.996 

1 
1 

262 
233 

14.34 
16.06 

3 
3 

179 
165 

0 
100 

—0.624 
0.707 

—6.81 
7.01 

+0.152 
0.250 

+4.91 
5.36 

Sept.  7 
17 
27 

5.60 
15.57 
25.54 

3.215 
3.402 
3.555 

-  1 
0 
0 

203 
170 
137 

17.63 
19.03 
20.26 

3 
3 
3 

149 
132 
112 

200 
300 
400 

0.784 
0.853 
0.915 

7.16 
7.24 
7.26 

0.347 
0.440 
0.531 

5.77 
6.13 
6.45 

Oct.    7 
17 

5.52 
15.49 

3.676 
3.764 

+  1 

104 
71 

21.27 

22.08 

2 
2 

91 
71 

1870. 

1878. 

300,          27 

25.46 

3.819 

2 

41 

22.69 

2 

51 

0 
100 

—0.895 
0.952 

—7.26 
7.24 

+0.501 
0.588 

+6.35 
6.C2 

Nov.  6 

4.43 

3.846 

0 

+  12 

23.12 

2 

33 

200 

1.000 

7.16 

0.671 

6.85 

16 

14.41 

3.844 

3 

—  15 

23.36 

1 

+  15 

300 

1.040 

7.01 

0.749 

7.02 

26 

24.38 

3.817 

4 

39 

23.43 

1 

400 

1.071 

6.81 

0.820 

7.12 

Dec.   6 

4.35 

3.767 

4 

62 

23.34 

1 

17 

1871. 

1879. 

16 
26 
38 

14.32 
24.30 
34.27 

3.694 
3.601 
+3.492 

4 
5 
+  5 

84 

102 
—115 

23.10 
22.73 
+22.23 

—  1 

0 

0 

31 
44 

—  56 

0 
100 
200 
300 

—1.061 
1.086 
1.101 
1.107 

—6.88 
6.64 
6.34 
n  qq 

+0.797  +7.09 
0.864     7.16 
0.924     7.18 
0  Q7fi      71'} 

400 

L103 

o.  t/i/ 
5.59 

U.i/i  Uj        /  .  1O 

1.02l|    7.02 

1872  B. 

188O  B. 

*  6  ©,                 April  12.4. 
#  6  Mean  Sun,    April  12.6. 

o 

100 

—  .106 

.nsc 

—5.73+1.007+7.06 
5.30      1.046|     6.91 

200 

.077 

4.82 

1.073     6.71  ! 

3001      .049 

4.31 

1.094     6.44  1 

i 

400—  .013 

i 

—  :}.7G  +1.109+6  12 

ii 

100 


SPECIAL  TABLES. 


TABLE  XXIV.-a  Eridani. 

h    m                                                       °      ' 

E.A.  1  32.9.                       Dec.  —  57  54. 

Upper  transit  at  fictitious  meridian. 

* 

A    a 

' 

A0<> 

Side- 
real 

AQO 

AQ(J 

Ana 

AQrf 

Sidcrcul  Dciy. 

MeinDa* 

Day. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

s               " 

1873. 

8                    " 

0 

—0.270 

+0.85 

—0.230 

-3.71  1 

100 

0377 

+0.17 

0.123 

3.12  I 

• 

// 

200 

0.481 

—0.52 

—0.016 

2.51 

0,  Jan.   0 

-  0.71 

+0.611 

+  4 

—321 

—17.51 

+   1 

—  71 

300 

0.581 

1.20 

+0.092 

1.87 

10 

+  9.26 

+0.285 

4 

331 

17.94 

0 

—  15 

400 

0.676 

1.87 

0.199 

1.23 

20 

19.23 

—0.048 

4 

333 

17.80 

0 

+  43 

30 

29.20 

0.378 

4 

324 

17.09 

0 

97 

1866. 

1874. 

Feb.   9 

8.18 

0.692 

5 

304 

15.86 

—  1 

150 

0 

—0.644 

—1.64 

+0.163 

—1.45 

19 
Mar.   1 
11 
21 

18.15 
0.12 

10.09 

20.07 

0.983 
.239 
.453 
.615 

5 
5 
4 
4 

275 
236 
189 
133 

14.11 
11.90 
9.31 
6.37 

2 
2 
2 
3 

199 
241 

278 
309 

100 
200 
300 
400 

0.735 

0.820 
0.898 
0.967 

2.30 
2.95 
3.56 
4.15 

0.268 
0.371 
0.470 
0.566 

0.79 
—0.14 
+0.52 
1.18 

31 

30.04 

.718 

3 

71 

—  3.16 

3 

333 

1867. 

1875. 

100,  Apr.  10 
20 

9.01 
18.99 

.756 

..727 

2 
2 

+  64 

+  0.26 
3.81 

3 
4 

350 
359 

0 
100 

—0.945 

.008 

—3.95 
4.  52 

+0.534 
0.627 

+0.96 
1.60 

30 

28.96 

.627 

1 

136 

7.41 

4 

361 

200 

.064 

5.04 

0.714 

2.24 

May  10 

8.93 

.456 

+  1 

205 

11.00 

4 

355 

300 

.111 

5.51 

0.795 

2.85 

20 

18.90 

1.218 

0 

271 

14.49 

4 

341 

400 

.147 

5.94 

0.870 

3.44 

30 

28.83 

0.916 

—  1 

332 

17.80 

3 

320 

1868  B. 

1876  B. 

June  9 

7.85 

0.557 

1 

383 

20.86 

3 

290 

19 

29 
July    9 

17.82 
27.79 

7.77 

—0.153 
+0.291 
0.760 

2 
3 
4 

426 
459 
476 

23.58 
25.91 

27.79 

2 
2 

1 

254 
212 
163 

0 
100 
200 
300 

—  .135 
.165 
.184 
.193 

-5.81 
6.20 
6.54 
'6.82 

+0.846 
0.916 
0.978 
1.032 

+3.24 
3.81 
4.35 

4.86 

200,          19 

17.74 

1.239 

5 

481 

29.15 

] 

110 

400 

.192 

7.04 

1.078 

5.32 

29 

27.71 

1.718 

5 

475 

29.97 

—  1 

+  55 

Aug.  8 

6.69 

2.184 

6 

454 

30.24 

0 

—    2 

1869. 

1877. 

18 

sia 

16.66 
26.63 

2.622 

3.022 

6 
6 

421 
377 

29.92 
29.03 

+  1 

61 
115 

0 
100 

—1.193 
1.185 

—6.98 
7.16 

+1.063 
1.103 

+5.17 
5.61 

200 

1.167 

7.27 

1.134 

6.00 

Sept.  7 

5.60 

3.372 

6 

323 

27.63 

2 

165 

300 

1.138 

7.33 

1.156 

6.34 

17 

27 

15  58 
25.55 

3.666 

3.894 

6 
5 

262 
195 

25.75 
23.45 

2 
2 

210 
247 

400 

1.100 

7.32 

1.168 

6.63 

Oct.    7 

5.52 

4.054 

5 

124 

20.85 

2 

273 

1870. 

1878. 

17 

15.49 

4.142 

4 

+  52 

18.02 

2 

291 

0 

—1.114 

—7.33 

+1.165 

+6.54 

1  300,          27 

25.47 

4.159 

3 

—  17 

15.07 

2 

296 

100 

1.069 

7.2S 

L171 

6.80 

Nov.  6 

4.44 

4.109 

2 

83 

12.15 

2 

288 

200 

1.016 

7.17 

1.167 

6.99 

16 

14.41 

3.994 

1 

144 

9.35 

2 

270 

300 

0.953 

6.99 

1.154 

7.14 

26 

24.38 

3.823 

—  1 

197 

6.79 

2 

241 

400 

0.883 

6.76 

1,131 

7.22 

Dec.  6 

4.3(5 

3.602 

0 

243 

4.56 

+  1 

202 

1871. 

1879. 

16 
26 
36 

' 

14.33 

24.30 
34.28 

3.339 
3.044 
+2.725 

0 

+  1 

+  2 

281 
309 
—326 

2.77 
1.46 

+  0.68 

0 
0 
0 

156 
105 

—  49 

0 
100 
200 

—0.908 
0.833 
0.751 

—6.84 
6.57 
6.24 

+1.140-+7.20 
1  .110     7.24 
1.072     7.22 

300 

0.662 

5.86 

1.024 

7.14 

400 

0.569 

5.43 

0.968 

7.01 

1872  B. 

188OB. 

*  6  0,                  April  14.7. 
4c  6  Mean  Sun,     April  34.7. 

0 
100 

—0.601  -5.58 
0.504     5.13 

+0.988 
0.926 

+7.06 

6.88 

200 

0.404 

4.63 

0.856 

6.65 

300 

0.300 

4.09 

0.778 

6.35 

400 

—0.194 

—3.52 

+0.694 

+6.00 

SPECIAL  TABLES. 


101 


TABLE  XXIV.—  o  Piseium> 

h    m                                                    °      ' 

E.A.  1  38.5,                         Dec.  +  8  30. 

Upper  transit  at  fictitious  meridian. 

i 

I 

A0a 

AQd 

ide- 
eal 

A^a  ! 

AQ(5 

AoQa 

j 

Sideresl  Djxy.  AT^nr*  T^^xr 

Day. 

1870. 

Var.  in  Diff.  foi 
10  y.  j    10  d. 

187C. 

Tar.  in 

10  y. 

Diff  for 
10  d. 

1865. 

8                    " 

1873. 

8                    " 

! 

0 

+0.7  J  9  +0.64. 

—  0.981  ;—  3.55 

100 

0.639—0.05 

0.935 

2.95  i 

0,  Jan,   0 

—  0.71 

f  0.407 

+  3  -104 

+  1.49 

+  2 

—  59 

200 
30C 

0.553! 
0.463 

0.73 
1.41 

0,881 

0.8201 

2.32  i 
1.68  ! 

10 

+  9.26 

0.295 

4 

118 

0.88 

2 

63 

400     0.368 

2.C9 

0.751 

1.02 

20 

19.24 

0.172 

4 

126 

i-  0.24 

2 

64 

30 

29.21 

-0.044 

3 

129 

—  0.40 

2 

63 

18G6.          > 

1874. 

Feb.  9 

8.18 

-0.084 

3 

127 

1.01 

2 

59 

0 

+0.400 

—1.86 

—0.775—1.24 

19 
Mar.  1 
11 
21 

18.15 
0.13 
10.10 
20.07 

0.207 
0.315 
0.401 
0.459 

2 
2 
2 
1 

117 

98 
73 

40 

1.57 

2.06 
2.41 
2.C3 

2 
1 

1 
1 

53 
43 
31 
—  14 

100 
200 
30C 
400 

0.303 

0.203 
+0.102 
0,000 

2.52! 
3.16 
3.77 
4,35; 

0.70:3—0.59 
0.626+0.  (8 
0.543J     tl.74 
0.456      1.40  i 

31 

30.04 

0,480 

1 

—    2 

2.63 

+  1 

+    7 

1867. 

1875. 

100,  Apr  10 
20 

9.02 
18.99 

0.461 
0.402 

+  J 

+  38 
82 

2.52 
2.13 

0 
0 

£7 
51 

0 

100 

+0,034 
—  O.C68 

—4,16, 
4.71 

—0.486+1.18 
0.396      1.82 

30       28.96 

0.296  1      0 

12H 

1,49 

0 

76 

2(10 

0.170 

5.22 

0.3C4 

2.45 

May  10 

8.93 

-0.146 

—  1 

171 

-  0.61 

0 

100 

300 

0.270 

5.69 

0.209 

3.06 

20 

18.91 

+0.046 

1 

211 

+  0.50 

0 

123 

400 

0.368 

6.11 

0.112 

3.65 

30 

28.88 

0.275 

2 

246 

1.85 

—  1 

144 

1368  B. 

1876  B. 

June  9 
19 

7.85 
17.83 

0,536 
0,823 

2 

2 

275 
297 

3.37 
5.06 

1 

2 

161 
175 

0 

—0.3351—5.97 

—0.145 

+3.46 

29 

27.80 

1.127 

2 

311 

6.86 

2 

184 

100 

0.431 

6.35 

—0047 

4.02 

July  9 

7.77 

1.442 

2 

316 

8.73 

3 

188 

200 
300 

0.523     6.6t 
0.6  1C     6.94 

+0.051 
0.1  4e 

4.55  i 
5.05 

200,          19 

17.74 

1.756 

3 

313 

10.62 

3 

187 

400 

0.691)    7.K 

0.244 

5.50 

29 

27.72 

2.066 

2 

305 

12.47 

3 

181 

Aug.  8 

6.69 

2.363 

2 

2S8 

14.24 

3 

171 

1869. 

1877. 

18 

1(5.66 

2.640 

2 

266 

15.88 

3 

157 

0 

0.665 

_7  no 

+0.212 

_I_r   9f> 

28 

26.63 

2,894 

1 

240 

17.36 

3 

139 

100 

0*.742     7.S5 

0.307 

5.78 

Sept.  7 
17 
27 

5.61 
15.58 

25.55 

3.J20 
3,315 
3.479 

1 

—  1 

0 

211 

180 
147 

18,65 
19.72 

20.58 

3 
3 
3 

118 
97 
75 

200 
30C 

40C 

0.813     7.3T 
0.877     7.38 
0.933!     7.3C 

0.400!     6.16 
0.489'     6.49 
0.575     6.76 

Oct.    7 

5.53 

3.610 

0 

115 

21.21 

2 

52 

1870. 

1878. 

17 

15.50 

3.710   +  I 

84 

21.63 

2 

31 

c 

—0.915!—  7.37 

+0.546+6.68 

300,          27 

25.47 

3.779 

2 

54 

21.84 

2 

+  12 

lot 

0.965     7.30 

0.629 

1    6.91 

Nov.  6 

4.44 

3.819 

2 

+  25 

21.88 

2 

20C 

.007 

7.r 

0.707 

1    7.09 

16 

14.42 

3.530 

3 

-    2 

21.76 

1 

20 

30( 

.041 

6.9' 

0.779 

7.22 

26 

24.39 

3.815 

3 

27 

21.50 

1 

32 

400 

.065 

!    6.7*, 

0.845     7.28 

Dec.  6 

4.36 

3.776 

3 

51 

21.13 

1 

42 

1871. 

1879. 

16 
26 
36 

14.33 
24.31 
34.28 

3.713 
3.629 
+3.527 

4 

4 
+  5 

74 
94 

—109 

20.66 
20.13 
+19.53 

—  1 

0 
0 

50 
57 
—  62 

C 

10(1 
20C 

—  .058 
.07C 
.085 

—6.8 
6.5 
6.1 

+0.823 
0.93S 

-J-7.26 
7.29 
7.25 

I 

30( 

.085 

5.77 

0.985 

7.15 

40C 

5.3 

1.02: 

6.99 

1872  B. 

1880  B. 

*  6  ©,                  April  16.2. 
JJC  d  Mean  Sun,     April  16.2. 

_  .080i—  5.4 

+1.012+7.1-5 

IOC 

.064 

5.0 

1.044 

6.85 

201 

.04< 

4.4 

1.068J    6.60 

30f 

.007 

3.9 

1.C83]    6.2  H 

400  —  0.96C 

—3.3, 

+1.C8U 

;+5.92  ; 

'        I 

102 


SPECIAL  TABLES. 


TABLE  XXIV.-/3  Arietis. 

h    m                                                    °      ' 

R.A.  1  47.5.                       Dec.  +  20  10. 

Upper  transit  at  fictitious  meridian.              . 

AQa 

A0<5 

Side- 
real 

AQa 

AQrf 

Aaa 

A_d 

\J 

Day. 

Sidortul  Duy. 

1870. 

Var.  in 
10  y. 

Diff.  foi 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                   " 

1873. 

8                       " 

0 

+0.843 

+0.31 

—1.080 

—3.29 

100 

0.765 

—0.39 

1.040 

2.67 

8 

n 

200 

0.681 

1.08 

0.992 

2.03 

0,Jan.    0 

—  0.70 

+0.489 

+  4 

—110 

+  5.32 

+   1 

—  33 

300 

0.591 

1.76 

0.935 

1.37 

10 

+  9.27 

0.371 

4 

127 

4.91 

I 

49 

400 

0.495 

2.43 

0.871 

0.70 

20 

19.24 

0.238 

3 

137 

4.35 

2 

62 

30 

29.21 

+0.099 

3 

142 

3.(>7 

2 

74 

1866. 

1874. 

Feb.    9 

8.19 

-0.043 

3 

142 

2.88 

2 

83 

0 

+0.528 

—2.21 

—0.894 

-0.93 

19 
Mar.   1 
11 
21 

18.16 
0.13 

10.10 
20.08 

0.181 
0.303 
0.403 
0.475 

3 
3 

2 
+  1 

131 
112 

87 
52 

2.02 
1.13 
+  0.26 
—  0.54 

2 
3 
3 
2 

88 
89 
84 
76 

100 
200 
300 
400 

0.429 
0.327 
0.22'J 
0.115 

2.87 
3.50 
4.10 
4.67 

0.825 
0.750 
0.668 
0.582 

—0.26 
+0.42 
1.08 
1.74 

31 

30.Q5 

0.507 

0 

—  11 

1.24 

2 

62 

1867. 

1875. 

100,  Apr.  10 
20 
30 

9.02 
19.00 

28.97 

0.496 
0.440 
0.337 

0 
0 

—  1 

+  33 
79 
127 

1.76 

2.08 
2.17 

2 
1 

+  1 

42 
—  22 
+    3 

0 
100 
200 

+0.151 
+0.043 
—0.065 

—4.48 
5.02 
5.52 

-0.612 
0.52-2 
0.428 

+1.52 
2.16 
2.79 

May  10 

8.94 

—0.186 

1 

173 

1.98 

0 

31 

300 

0.173 

5.96 

0.330 

3.40 

20 

18.91 

+0.008 

1 

216 

1.53 

0 

59 

400 

0.279 

6.36 

0.230 

3.97 

30 

28.89 

0.245 

2 

254 

—  0.81 

0 

86 

1868  B. 

1876  B. 

June  9 

7.86 

0.514 

2 

284 

+  0.18 

—  1 

111 

19 

17.83 

0.811 

2 

307 

1.41 

2 

134 

0 

—0.243 

—6.23 

—0.2641+3.78 

29 

27.80 

1.126 

2 

322 

2.85 

2 

154 

100 

0.348 

659 

0.163 

4.34 

July  9 

7.78 

1.453 

2 

329 

4.47 

2 

168 

200 
300 

0.449 
0.546 

6.89 
7.13 

—0.060 
+0.044 

4.86 
5.33 

200,          19 

17.75 

1.782 

2 

328 

6.20 

3 

179 

400 

0.638 

7.30 

0.147 

5.77 

29 

27.72 

2.106 

2 

320 

8.03 

3 

185 

Aug.  8 

6.70 

2.419 

2 

304 

9.89 

3 

186 

1869. 

1877. 

18 
28 

16.67 
26.64 

2.711 
2.981 

2 
1 

282 
257 

11.74 
13.54 

4 
4 

183 
176 

0 
100 

—0.608 
0.696 

—7.25 
7.39 

+0.112 
0.215 

+5,64 
6.U4 

27 

5.61 
'   15.59 
25.56 

3.223 
3.436 
3.616 

—  1 

0 
+  1 

228 
197 
164 

15.24 
16.81 
J8.25 

4 
4 
4 

164 
151 

136 

200 
300 
400 

0.778 
0.854 
0.921 

7.45 
7.46 
7.40 

0.316 
0.414 
0.510 

6.40 
6.70 
6.95 

Oct.    7 

5.53 

3.764 

131 

19.53 

4 

119 

187O. 

1878. 

17 

15.50 

3.879 

2 

99 

20.62 

4 

101 

0 

—0.899 

-7.43 

+0.478 

+6.87 

J300,          27 

25.48 

3.962 

2 

68 

21.54 

3 

83 

100 

0.962 

7.32 

0.570 

7.08 

Nov.   6 

4.45 

4.016 

3 

38 

22.28 

3 

64 

200 

1.015 

7.16 

0.659 

7.24 

16 

14.42 

4.038 

4 

+    8 

22.83 

3 

46 

300 

1.060 

6.93 

0.741 

7.33 

26 

24.39 

4.032 

4 

—  20 

23.21 

3 

29 

400 

1.096 

6.64 

0.819 

7.36 

Dec.   6 

4.37 

3.998 

5 

48 

23.41 

2 

+  H 

1871. 

1879. 

16 

26 
36 

14.34 
24.31 
34.29 

3.937 
3.853 
+3.746 

5 
5 

+  5 

73 
96 
—116 

23.44 
23.29 
+22.99 

2 
1 
—  1 

—    7 
23 
—  39 

0 
100 
200 

—1.085 
1.115 
1.135 

—6.75 
6.42 
6.05 

+0.793 
0.866 
0.932 

+7.36 
7.35 

7.28 

300 

1.145 

5.62 

0.990 

7.15 

400 

1J46 

5.15 

1.039 

6.96 

1872  B. 

1880  B. 

5jc  6  0,               April  18.6. 

^  <3  Mean  Sun,  April  18.4. 

0 
100 

—1.147 
1.141 

—5.31 

4.81 

+1.024 
1.068 

+7.03 
6.80 

200 

1.125 

4.27 

1.103 

—6.52 

300 

1.101 

3.69 

1.129 

G.17 

400 

—1.067 

—3.09 

+1.146+5.77 

SPECIAL  TABLES. 


103 


TABLE  XXIV.—  *50  Cassiopeae. 

h    m                                                    °      ' 

R.A.  1  52.4.                       Dec.  +  71  47. 

Upper  transit  at  fictitious  meridian. 

A    « 

" 

A    <J 

Side- 
real     Ana 

AQd 

AQa 

AQ<5 

Day. 

-,  Sidereal  DBV 

Me  3.11  DB  v 

187O. 

Var.in 
10  y. 

Diff.  for 
10  d. 

187O. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                      " 

1873. 

8                     " 

0+2.362+0.14 

—2.284 

—3.15 

100 

2.316—0.56 

2.3-28 

2.52 

8 

a 

200 

2.250     1.26 

2.353 

1.87 

0,  Jan.    0 

—  0.70 

+1.584 

+19 

—507 

+17.71 

-  2 

+  121 

300 

2.164      1.94 

2.358 

1.20 

10 

+  9.27 

1.049 

19 

561 

18.64 

—  1 

64 

400 

2.059     2.61 

2343 

0.53 

20 

19.24 

+0.471 

17 

592 

18.98 

+  1 

+    5 

30       29.22 

—0.128 

16 

600 

1875 

2 

-53 

186(». 

1874. 

Feb.   9 

19 
Mar.    1 
11 
21 

8.19 

18.16 
0.14 
10.11 

20.08 

0.722 

1.282 

1.786 
2.209 
2.530 

14 

11 

8 
5 
+  2 

582 

536 
467 
375 
264 

17.93 

16.59 
14.77 
12.55 

10.04 

3 

4 
5 
5 
6 

109 

160 
203 
2:38 
262 

0 
100 
200 
300 
400 

+2.096 
1.979 
1.844 
1.694 
1.528 

—2.39 
3.05 

4.27 
4.83 

—  2.35CJ—  0.75 
2.3231—0  08 
2.276J+0.60 
2.2I1|     l.fc? 
2.128|     1.92 

31 

30.05 

2.733 

140 

7.34 

6 

276 

1867.- 

1875. 

!  100,  Apr.  10  j      9.03 
20       19.00 

2.807 
2.745 

4 
6 

—    7 
+130 

4.56 
+  1.81 

6 

6 

278 
270 

0 
100 

+1.585 
1-411 

—4.65 
5.18 

-2.158+1.70 
2.0H3     2.35 

30       28.97 

2.548 

8 

263 

—  0.80 

6 

251 

200 

1.224 

5.67 

1951 

2.98 

May  10 

8.94 

2.221 

10 

389 

3.18 

5 

223 

300 

1.026 

6.11 

1823 

3.58 

20 

18.92 

1.774 

11 

503 

5.24 

5 

188 

400 

O.»20 

6.49 

1.680 

4.15 

30 

28.89 

1.219 

11 

602 

6.91 

4 

146 

1868  B. 

1876  B. 

June  9 

7.86 

—0.575 

11 

684 

8.15 

3 

100 

19 

29 

17.84 

27.81 

+0.141 
0.909 

10 
9 

746 

787 

8.90 
9.17 

+  J 

-T 

0 
100 

+0.890 
0.679 

—6.37 
6.71 

—1.730 
1.578 

+3.97 
4.51 

July  9 

7.78 

1.709 

8 

809 

8.93 

—  1 

+  49 

200 
300 

0.462 
0.242 

7.00 
7.22 

1.413 
1.235 

5.03 
5.50 

i200,          19 

17.75 

2.520 

6 

812 

8.19 

2 

98 

400 

0.020 

7.3e 

1.04£ 

5.91 

29 

27.73 

3.324 

—  3 

795 

6.98 

4 

144 

Aug.  8 

6.70 

4.104 

0 

763 

5.32 

5 

187 

1869. 

1877. 

18 

28 

16.67 
26.64 

4.845 
5.531 

+  3 
6 

716 
656 

3.25 
—  0.81 

6 

7 

226 
260 

0 
100 

+0.095 
—0.127 

-7.34 
7.45 

—1.112+5.79 
0.919     6.18 

Sept.  7 
17 
27 

5.62 
15.59 
1556 

6.152 

6.698 
7.160 

10 
13 
17 

585 
505 
418 

+  1.94 
4.95 
8.16 

8 
9 
9 

289 
312 
329 

200 
300 
400 

0.347 
0.564 
0.776 

7.51 

7.50 
7.42 

0.718 
0510 

0.298 

6.52 
6.82 
7.05 

Oct.    7 

5.53 

7.532 

21 

324 

11.52 

10 

340 

187O. 

1878. 

17 

15.51 

7.806 

24 

225 

14.94 

10 

343 

0 

—0.705 

—7.45 

—0.370+6.98 

300,          27 

25.48 

7.980 

27 

122 

18.36 

10 

340      100 

0.912 

7.33 

—0.155 

7.17 

Nov.  6 

4.45 

8.050 

30 

+  17 

21.71       10 

328      200 

1.111 

7.15 

+0.061 

7.31 

16 

14.43 

8.014 

33 

-89 

24.89         9 

309 

300 

1.299 

6.90 

0.277 

7.  39 

26 

24.40 

7.873 

35 

192 

27.85 

9 

281      40 

1.476 

6.60 

0.492 

7.41 

Dec.   6 

4.37 

7.630 

36 

292 

30.50 

8 

246 

1871. 

1879. 

16 
26 
36 

14.34 
24.32 
34.29 

7.291 
6.866 
+6.367 

37 
38 

+38 

384 

465 
—529 

32.75 

34.54 
+35.81 

7 
6 
—  5 

203 
154 

+100 

0 
100 
200 

—1.418 
1.586 
1.740 

—6.71 
6.37 
5.98 

+0;  420  +7.41 
0.632     7.3* 
0.840;     7.30 

300 

1.880 

5.53 

1.041 

7.15 

400 

2!  003 

5.'05 

L234 

6!  94 

1872  B. 

1880  B. 

*  6  0,                 April  20.1. 
*  6  Mean  Sun,     April  19.8. 

0 

—1.964  -55.22 

+1.170+7.02 

;jc  8  Mean  Sun,     Oct.  19.4. 

100 

2.075     4.70!     1.357 

6.77  ] 

200 

2.169     4.14       1.533 

6.4() 

300 

2.245     3.56j      1.694 

6.10 

400—2.302-2.94  +1.845  +5.69 

i                                            ! 

| 

104 


SPECIAL  TABLES. 


TABLE  XXIV.-*1  Ceti. 

h    m                                                     o      / 

E.A.  2    6.1.                       Dec.  +    8  14. 

Upper  transit  at  fictitious  meridian.              • 

AQa 

A.rf 

Side- 
real 

AQa 

AQ,5 

AQ« 

A    ,5 

Day. 

0 

0 

Sidcrcnl  Duy. 

Ale  tin  DflY. 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

&           " 

1873. 

s             " 

0 

+0.7161—0.39 

-0.983!—  2.74 

100 

0.635     1.09 

0.935     2.08 

8 

// 

200 

0.549 

1.79 

0.880 

1.40 

0,Jan.    0 

—  0.69 

+0.561 

+  3 

—  96 

+  1.22 

+   1 

-  59 

300 

0.458 

2.48 

0.818 

0.72 

10 

+  9.28 

0.457 

3 

114 

0.62 

1 

60 

400 

0.362 

3.14 

0.749J    0.03 

20 

19.25 

0.335 

3 

128 

+  0.03 

1 

59 

30 

29.23 

0.203 

3 

136 

—  0.56 

1 

59 

1866. 

1§74. 

Feb.    9 

8.20 

+0.066 

3 

138 

1.14 

2 

55 

0 

+0.395 

-2.92 

—0.773—0.26 

19 

18.17 

—0.070 

3 

132 

1.65 

2 

48 

100 

0.297 

3.57 

0.701 

+0.43 

Mar.   1 
11 
21 

0.15 
10.12 

20.09 

0.195 
0.303 
0.384 

2 
2 

2 

118 

96 
66 

2.09 
2.40 
2.59 

2 
1 

1 

38 
26 
—  12 

200 
300 
400 

0.196 
+0.094 
—0.008 

4.19 
4.77 
5.31 

0.622 
0.539 
0.451 

1.11 

1.78 
2.44 

31 

30.06 

0.432 

+  1 

-  30 

2.63 

+  1 

+    6 

1867. 

1875. 

100,  Apr.  10 
20 

9.04 
19.01 

0.442 

0.408 

0 
0 

59 

2.47 

2.08 

0 
0 

27 
49 

0 

100 

+0.026 
—0.077 

-5.13 
5.64 

—0.481 
0.391 

+2.22 
2.86 

30 
May  10 

28.98 
8.95 

0.329 
0.205 

1 

102 
146 

1.49 

—  0.66 

—  1 
1 

71 
94 

200 
300 

0.179 

0.280 

6'lO 
6.50 

0.298 
0.202 

3.48 
4.07 

20 

18.93 

—O.OoS 

1 

188 

+  0.39 

1 

117 

400 

0.378 

6.85 

0.105 

4.63 

30 

28.90 

+0.170 

1 

226 

1.67 

2 

138 

1868  B. 

1876  B. 

June  9 

7.87 

0.413 

2 

259 

3.11 

2 

153 

19 

17.84 

0.685 

2 

284 

4.73 

2 

167 

0 

—0.345 

-6.74 

—0.138 

+4.44 

29 

27.82 

0.978 

2 

301 

6.44 

3 

176 

100 

0.441 

7.05 

—0.039 

4.98 

July  9 

7.79 

1.285 

2 

312 

8.23 

3 

181 

200 

0.533 

7.29 

+0.059 

5.46 

300 

0.620 

7.48 

0.157 

5.91 

200,          19 

17.76 

1.599 

3 

314 

10.05 

3 

180 

400 

0.701 

7.59 

0.253 

6.31 

29 

27.74 

1.910 

3 

308 

11.82 

3 

173 

Aug.  8 

6.71 

2213 

2 

296 

13.50 

3 

164 

1869. 

1877. 

18 

28 

16.68 
26.65 

2.501 
2.769 

1 
1 

279 
257 

15.08 
16.49 

3 
3 

150 
132 

0 
100 

—0.675 
0752 

—7.56 
7.64 

+0.221 
0.316 

+6.19 
6.55 

Sept.  7 
17 
27 

5.63 
15.60 
25.57 

3.014 
3.232 
3.419 

1 
1 
—  1 

232 
203 
173 

17.71 
1-S.73 
19.51 

3 
3 
3 

112 

90 
67 

200 
300 
400 

0.823 

0.886 
0.942 

7.64 
7.58 
7.45 

0.409 
0.499 
0.585 

6.86 
7.11 
7.31 

Oct.    7 

5.54 

>  3.578 

0 

144 

2008 

3 

46 

187O. 

1878. 

17 

15.52 

3.706 

4-  l 

112 

20.43 

3 

25 

0 

—0.924-7.50 

+0.556  +7.25 

300,         27       85.49 

3.803 

1 

81 

20.59 

3 

+    7 

100 

0.974 

7.33 

0.639     7.40 

Nov.  6 

4.46 

3.869 

2 

52 

20.57 

3 

-  10 

200 

1.016 

7.10 

0.717     7.50 

16 

14.44 

3908 

3   +  24 

20.40 

3 

24 

300 

1.048 

6.81 

0.789     7.53 

26 

24.41 

3.917 

3-5 

20.10 

2 

36 

400 

1.072 

6.46 

0.854     7.50 

Dec.   6 

4.38 

3.899 

3 

32 

19.69 

2 

45 

1871. 

1879. 

16 
26 
36 

14.35 
24.33 
34.30 

3.654 

3.786 
+3.694 

4 
4 
+  4 

57 
80 
—102 

19.21 
18.66 
+18.09 

2 

1 
—  1 

52 
56 
—  59 

0 
100 
200 

—1.065 
1.083 
1.091 

—6.59 
6.20 
5.76 

+0.833 
0.894 
0.948 

+7.52 
7.45 
7.31 

1 

300 

1  000 

r.  Os! 

0004 

T   1O 

400 

1  .Uv/U 

1.08J 

O.-CO 

4.75 

v/ty-i            *   .   i  •- 

1.031|     6.86 

1872  B. 

188O  B. 

•*  d  0,                 April  23.6. 
*  6  Mean  Sun,     April  23.2. 

0 
100 

—1.084!—  4.93 
1.063     4.38 

+1.0201+6.96 
1.052     6.66 

200 

1.043     3.79 

1.075 

6.31  ! 

300 

1.009]     3.17      1.089 

5.91 

400  —0.967  —2.52  .+1  .094 

+5.45 

SPECIAL  TABLES. 


105 


TABLE  XXIV.—*  i  Cassiopeie. 

h    m                                                    o      / 

R.A.  2  18.4.                       Dec.  +  66  49. 

Upper  transit  at  fictitious  meridian. 

AQa 

A    6 

Side- 
real 

A^a 

AQd 

AQa 

Aa<* 

Day. 

Sidereal  Day.    MeanDay. 

1S70. 

Var.  in  Diff.  for 
10  y.       10  d. 

1870. 

Var.  in 
10  y. 

Diff  for 
10  d. 

1865. 

8                    " 

1873. 

8                     " 

o 

+  1.956 

—0.83 

—2.016 

—2.36 

100 

1.889 

1.55 

2.026 

1.68 

i 

// 

200 

1.806 

2.25 

2.019 

0.99 

0,Jan.    0   —  0.68 

+  1.616 

+14  -346 

+16.13 

—  2 

+134 

300 

1.706 

2.93 

1.996 

-0.29 

10   +  9.29 

1.241 

14 

401 

17.22 

—  1 

83 

400 

1.592 

3.59 

1.956 

+0.41 

20  ;     19.26 

0.820 

14 

440 

17.79 

0 

+  29 

. 

30       29.24 

+0.368 

13 

460 

17.80 

+  1 

-26 

1866. 

1874. 

Feb.   9         8.21 

—0.093 

12 

460 

17.27 

2 

80 

0 

+1.632 

—3.37 

—1.971 

+0.17 

19       1818 
Mar.   1         0.15 
11        10.13 
21       20.10 

0.544 
0.961 
1.326 
.618 

10 
9 
7 
4 

438 
395 
331 
251 

16.22 
14.71 
12.79 
10.56 

3 
4 
5 
5 

128 
173 

209 
236 

100 
200 
300 
400 

1.508 
1.371 
1.222 
1.062 

4.01 
4.62 
5.18 
5.70 

1.921 
1.854 
1.773 
1.677 

0.87 
1.56 
2.24 
2.89 

31 

30.07 

.823 

+  2 

157 

8.11 

6 

253 

1867. 

1875. 

100,  Apr.  10 

9.05 

.928 

0—53 

5.54 

6 

259 

0 

+1.117 

—5.53 

—  1  711 

20 

30 

19.02 
28.99 

.927 
.816 

—  2 
4 

+  56 
165 

2.96 
+  0.46 

6 
5 

256 
242 

100 
200 

0.951 
0.776 

6.02 
6.45 

L606  '  3.31 
1.488     3.93 

May  10 

8.96 

.598 

5 

271 

-  1.85 

5 

219 

300 

0.595 

6.83 

1.357 

4.51 

20 

18.94 

.278 

6 

369 

3.89 

4 

189 

400 

0.409 

7.15 

1.215 

5.05  ' 

30 

28.91 

0.864 

7 

456 

5.61 

3 

152 

1868  B. 

1876  B. 

June  9 

788 

—0.371 

7 

530 

6.92 

2 

111 

19 

17.85 

+0.190 

7 

589 

7.81 

+  1 

66 

0 

+0.472 

—7.05 

—1.264 

+4.87 

29 

27.83 

0.801 

7 

632 

8.24 

r  o 

—  20 

100 

0.284 

7.32 

1.116 

5.38 

July  9 

7.80 

1.448 

6       659 

8.21 

—  1 

+  27 

200 

+0.093 

7.53 

0.958 

5.85 

1 

300 

—0.098 

7.68 

0.793 

6.27 

200,          19 

17.77 

2.113 

5  !    670 

7.71 

2 

73 

400 

0.288 

7.76 

0.620 

6.64 

29 

2774 

2.783 

4       666 

6.76 

3 

116 

Aug.  8 

6.72 

3.441 

3 

648 

5.39 

4 

157 

1869. 

1877. 

18 

28 

1669 
26.66 

4.075 
4.675 

—  1 
+  2 

619 
579 

3.63 
—  1.51 

5 

7 

195 

228 

0 
100 

—0.224 
0.413 

—7.74 
7.77 

—0.679+6.53 
0.503     6.86 

Sept,  7 
17 
27 

5.63 
15.61 

25.58 

5.229 
5.730 
6.169 

I 

9 

529 
471 

406 

+  0.92 
3.62 
6.52 

8 
8 
9 

257 
281 

299 

200 
300 
400 

0.597 
0.775 
0.947 

7.73 
7.63 
7.46 

0.323 
—0.140 
+0.045 

7.14 
7.36 
7.52 

Oct.    7 

5.55 

6.541 

11 

336 

9.59 

9 

312 

187O. 

18 

17 

15.53 

6.840 

14 

261 

12.74 

10 

318 

d 

—0.890 

—7.53 

—0.017 

+7.47 

300,          27 

25.50 

7.062 

16 

182 

15.92 

10 

318 

100 

1.056 

7.32 

+0.168 

7.59  1 

Nov.  6 

4.47 

7.203 

19 

100 

19.07 

10 

310 

200 

1.212 

7.04 

0.352 

7.65 

16 

14.44 

7.261 

21   +  15 

22.10 

10 

296 

300 

1.357 

671 

0.5:34 

7.64 

26 

24.42 

7.234 

23   —  70 

24.96 

9 

274 

400 

1.491 

6.32 

0.712 

7.57 

Dec.   6 

4.39 

7.122 

25 

153 

27.55 

9 

244 

i 

1871. 

1879. 

16 
26 
36 

14.36 
24.33 
34.31 

6.929 
6.659 
+6.321 

26 

27 

+27 

233 

306 
—368 

29.82 
31.68 
+33.09 

8 
7 
-  6 

208 
164 
+116  | 

0 
100 

200 

—1.447 
1.572 
1.684 

—6.46 
6.03 
5.56 

+0.652 
0.827 
0.995 

+7.60  1 
7.49  i 
7.31  i 

1          '            li  son 

1.780 

5.03      1.154 

7.07  i 

400 

1.862 

4.47J     1.305 

6.77  1 

1872  B.             1880  B. 

*  6  ©, 

April  26  9. 

;jc  6  Mean  Sun,     April  26.3. 

0—1.836!—  4.67  +1.256+6.88 

5J<  8  Mean  Sun,     Oct.  25.9. 

100     1.907 

4.08      1.399, 

6.54 

200     1.962 

3.46      1.532! 

6.15  1 

;    300 

2.000 

2.81  '••     1.652' 

5.7  1 

400—2.021  —2.14  +1.758+5.21 

106 


SPECIAL  TABLES. 


1 

TABLE  XXIV.—  7  Ceti. 

h    m                                                    °      ' 

R.A.  2  36.6.                         Dec.  +  2  41. 

Upper  transit  at  fictitious  meridian. 

AQa 

AQ<5 

Side- 
real 

AQa 

AQJ 

Aaa 

A    6 

. 

Day. 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

s              " 

1873. 

8                   " 

0 

+0.660 

—1.51 

—0.938 

-1.79 

100 

0.578 

2.23 

0.888 

1.08 

8 

/; 

200 

0.491 

2.93 

0.830 

—0.37 

0,Jan.    0 

—  0.67 

+0.713 

+  3 

—  82 

—  0.72 

+ 

—  75 

300 

0.400 

3.61 

0.766 

+0.35 

10 

+  9.30 

0.620 

3 

105 

1.45 

70 

400 

0.304 

4.26 

0.696 

1.06 

20 

19.28 

0.504 

3 

'125 

2.12 

63 

30 

29.25 

0.371 

3 

138 

2.70 

54 

1866. 

1874. 

Feb.    9 

8.22 

0.230 

3 

145 

3.19 

44 

0 

+0.337 

—4.05 

—  0.720'+0.83 

19 
Mar.   1 
11 
21 

18.19 
0.17 
10.14 
20.11 

+0.084 
-0.058 
0.184 

0.288 

3 

2 
2 
2 

146 
136 
116 
91 

3.56 

3.80 
3.90 
3.84 

4"   1 

31 
17 
—    2 
+  15 

100 
200 
300 
400 

0.240 
0.140 
+0.040 
—0.061 

4.67 
5.25 

5.78 
6.27 

0.646      1.53 
0.566     2.23 
0.48:2|     2.90 
0.394     355 

31 

30.08 

0.364 

1 

59 

3.59 

0 

35 

1867. 

1875. 

100,  Apr.  10 
20 

9.06 
19.03 

0.404 
0.402 

1 

+  1 

—  20 
+  25 

3.14 

2.48 

0 
0 

55 

77 

0 
100 

—0.027 
0.127 

—6.11 

6.56 

—0.424 
0.334 

+3.33 
3.96 

30 

29.00 

0.354 

0 

70 

1.60 

0 

98 

200 

0.227 

6.96 

0.241 

4.56 

May  10 

8,98 

0.263 

—  1 

114 

—  0.52 

0 

119 

300 

0.224 

7.29 

0.147 

5.11 

20 

18.95 

—0.127 

1 

158 

+  0.77 

—  1 

139 

400 

0.418 

7.55 

0.051 

5.63 

30 

28.92 

+0.052 

1 

198 

225 

2 

155 

1868  B. 

1876  B. 

June  9 

7.89 

0.268 

1 

234 

3.86 

2 

169 

19 

17.87 

0.517 

2 

262 

5.61 

3 

178 

0 

—0.387 

—7.47 

—  0.083:+5.46 

29 

27.84 

0.790 

2 

284 

7.41 

3 

182 

100 

0.479 

7.70 

+0013     5.95 

July  9 

7.81 

1.082 

2 

300 

9.23 

3 

182 

200 

0.567 

7.85 

0.109     6.38 

300 

0.649 

7.94 

0.204 

6.77 

200,          19 

17.78 

1.388 

3 

307 

11.04 

3 

177 

400 

0.726 

7.96 

0.297 

7.09 

29 

27.76 

1.694 

3 

305 

1<J.76 

4 

167 

Aug.  8 

6.73 

1.997 

2 

298 

14.37 

4 

152 

1869. 

1877. 

18 
28 

16.70 
26.67 

2.291 
2.570 

2 
2 

286 
270 

15.79 
17.01 

4 

4 

132 

110 

0 

100 

—0.7011—7.96 
0.773     7.94 

!+0.268 

0.358 

+6.99 

7.28 

Sept.  7 
17 

27 

5.65 
15.62 
25.59 

2.830 
3.065 
3.276 

2 

1 

248 
224 
197 

17.99 
18.73 
19.19 

4 
4 
3 

86 
60 
32 

200 
300 
400 

0.839     7.83 
0.8971    7.67 
0.947[    7.44 

0.448 
0.533 
0.615 

7.51 

7.68 
7.79 

Oct.    7 

5.57 

3.458 

0 

163 

19.39 

3 

4-    9 

187O. 

1878. 

17 

15.54 

3.612 

0 

140 

19.38 

3 

—  14 

0 

—0.931 

—7.53 

+0.588 

+7.76 

300,          27 

25.51 

3.737 

4-  1 

111 

19.12 

3 

35 

100 

0.976 

7.25 

0.66U 

7.8:2 

Nov.  6 

4.48 

3.833 

1 

•80 

18.70 

3 

51 

200 

1.012 

6.92 

0.739 

7.82 

16 

14.46 

3.897 

2 

50 

18.12 

3 

63 

300 

1.040 

6.52 

0.806 

7.75 

26 

24.43 

3.933 

2 

+  21 

17.46 

3 

72 

400 

1.058 

6.07 

0.867 

7.62 

Dec.   6 

4.40 

3.938 

2 

—    9 

16.70 

2 

77 

1871. 

1879. 

16 
26 
36 

14.37 
24.35 
34.32 

3.914 

3.863 
+3.784 

3 
4 
+  4 

38 
65 
-  91 

15.93 
15.15 

+14.40 

2 
2 
—  2 

78 
77 
—  73 

0 
100 
200 

—1.053 
1.065 
1.069 

—6.23 
5.75 

5.2'2 

+0.847|+7.67 
0,903     7.50 
0.951     7.26 

300 

1.063 

4.64 

0.992     6.96 

400 

1.049 

4.03 

1.025     6.61 

1872  B. 

188O  B. 

I 
*  6  ©,                  May  1.7. 

0 

|| 
—1.055—4.24      1.015+6.73 

>fc  d  Mean  Sun,     April  30.9. 

100     1.034|     3.61  |     1.041 

6.34 

200 

1.005     2.9511     1.060 

5.89 

300     0.9671    2.26      1.069 

5.39 

...  ... 

400—0.9221—1.58  +1.069+4.84 

l! 

SPECIAL  TABLES. 


107 


TABLE  XXIV.-  48  Cephei  (H,) 

h    m                                                  °      ' 

E.A.  3    3.9.                       Dec.  +  77  15. 

Upper  transit  at  fictitious  meridian. 

A«a 

A    d 

' 

Side- 
real 

A 

An* 

AQa 

An<* 

vi* 

Day 

187O. 

Var.in 
10  y. 

Diff.  for 
10  d. 

187O. 

Var.in 

10  y. 

Diff.  for 
10  d. 

1865. 

8                     " 

1873. 

0 

+3.038 

—2.49 

—3.095 

—0.92 

100 

2.943 

3.21 

3.119 

-0.18  I 

8 

M 

200 

2.822 

3.90 

3.116 

+0.57  1 

0,  Jan.  0 

—  0.65 

+3.901 

+38 

-564 

+15.22 

—  6 

+214 

300 

2.676 

4.56 

3.087 

1.31 

10 

+  9.32 

3.271 

39 

691 

17.12 

5 

165 

400 

2.506 

5.18 

3.033 

2.04 

20 

19.29 

2.527 

39 

792 

18.50 

4 

111 

30 

29.27 

1.697 

38 

861 

19.32 

—  2 

+  52 

1866. 

1874. 

Feb.   9 

8.24 

+0.817 

36 

892 

19.54 

0 

—    8 

0 

+2.566 

—4.98 

—3.054 

+1.79 

19 
Mar.   1 
11 
21 

1821 
0.19 
10.16 
20.13 

-0.073 
0.938 
1.736 
2.430 

34 
28 
23 
18 

884 
837 
752 
632 

19.17 
18.23 
16.76 
14.83 

+  2 
3 
5 

6 

66 
122 
171 
213 

100 
200 
300 
400 

2.381 
2.176 
1.951 

1.708 

5.58 
6.12 
6.61 
7.04 

2.984 

2.888 
2.769 
2.628 

2.51 
3.20 
3.87 
4.50 

31 

30.10 

2.990 

12 

484 

12.53 

7 

245 

1867. 

1875. 

100,  Apr.  10 
20 

9.08 
19.05 

3.391 
3615 

6 

+  1 

315 
—132 

9.96 
7.21 

8 

8 

268 
280 

0 
100 

+1.793 
1.541 

-6.90 
7.29 

—2.678  +4.S9 
2.522     4.90  1 

30 

29.02 

3.652 

—  4 

+  59 

4.40 

8 

280 

200 

1.275 

7.62 

2.345 

5.46  ! 

May  10 

8.99 

3.498 

10 

247 

+  1.63 

8 

271 

300 

0.999 

7.88 

2.150 

5.99  ' 

20 

18.97 

3.160 

13 

428 

—  0.99 

7 

253 

400 

0.714 

8.07 

1.936 

6.46 

30 

28.94 

2.646 

16 

597 

3.40 

6 

227 

1868  B. 

1876  B. 

June  9 

7.91 

1.973 

18 

747 

5.50 

6 

193 

19 

17.89 

1.160 

19 

875 

7.23 

4 

153 

0 

+0.811 

—8.02 

—2.010 

+6.30 

29 

27.86 

—0.230 

19 

980 

8.55 

2 

110 

100 

0.522 

8.16 

1.786 

6.74 

July    9 

7.83 

+U.792 

19 

1060 

9.42 

+  1 

64 

200 
300 

+0.229 
—0.066 

8.23 

8.24 

1.546 
1.294 

7.12 
7.44 

200,          19 

17.80 

1.882 

17 

1115 

9.83 

—  1 

—  17 

400 

0.359 

8.17 

1.031 

7.70 

29 

27.78 

3.013 

14 

1144 

9.76 

3 

+  31 

Aug.  8 

6.75 

4.162 

10 

1150 

9.22 

5 

78 

1869. 

1877. 

18 

16.72 
26.69 

5.305 
6.419 

6 
i 

1132 
1094 

8.21 

6.77 

7 

8 

123 
165 

0 
100 

-0.260 
0.551 

—8.20 
8.08 

—1.121 

0.852 

+7.62 

7.84 

Sept.  7 
17 
27 

5.67 
15.64 
25.61 

7.486 

8.486 
9.400 

+  5 
12 

18 

1036 
960 
866 

4.92 
2.70 
-  0.14 

10 
12 
13 

204 
240 
270 

200 
300 
400 

0.837 
1.415 
1.383 

7.89 
7.64 
7.32 

0.575 
0.293 
0.010 

7.99 
8.08 
8.11 

Oct.    7 

5.58 

10.213 

25 

757 

+  2.69 

15 

296 

187O. 

1878. 

17 

15.56 

10.909 

32 

633 

5.76 

16 

316 

0 

—1.293 

—7.43 

—0.105 

+8.11 

300,          27 

25.53 

11.474 

39 

495 

8.99 

17 

330 

100 

1.553 

7.07 

+0.18) 

8.08 

Nov.  6 

4.50 

11.895 

46 

345 

12.33 

17 

336 

200 

1.798 

6.64 

0.465 

7.99 

16 

14.48 

12.160 

53 

185 

15.68 

17 

334 

300 

2027 

6.16 

0.747 

7.84 

26       24.45 

12.263 

59 

+  19 

18.98 

17 

324 

400 

2.238 

5.63 

1.024 

7.61 

Dec.   6         4.42 

12.197 

64 

—150 

22.14 

17 

305 

1871. 

1879. 

16       14.39 
26       24.37 
36       34.34 

11.964 
11.568 
+1  1.023 

€8 
71 

+74 

316 
473 

—609 

25.06 
27.66 

+29.85 

16 
15 

—14 

277 
241 

+197 

0 
100 
200 

-2.169 
2.368 
2.545 

—5.82 
5.25 

4.6o 

+0.931 
1.204 
1464 

+7.70 
7.43 
7.10 

300 

2.701 

4.00 

I  715 

6.72 

400 

2.833 

3.33 

1.951 

6.29 

1872  B. 

1880  B. 

#  6  0,                   May  8.7. 

3JC  <5  Mean  Sun,       May  7.8. 
;JC  8  Mean  Sun,       Nov.  6.4. 

0—2.791 

100     2.907 

—3.56  +1.873+6.43 
2.86      2.099J    5.94 

200     2.999 

2.15      2.309     5.41 

300     3.066 

1.41      2  499J     4.83  I 

4UU—  3.106 

—0.67  +2.669;+4.:>l 

108 


SPECIAL  TABLES. 


TABLE  XXIV.-CArietts. 

h    m                                                       o      / 

R.A.  3    7.4.                       Dec.  +  20  34. 

Upper  transit  at  fictitious  meridian. 

A    a 

' 

A0<* 
' 

Side- 
real 

AQa 

AQ«J 

AQ«       AQ<5 

. 

Day. 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

187O. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

e              " 

1873. 

s                 " 

0 

+0.837 

—2.63 

—1.101  1—0.81 

100 

0.753 

3.35 

1.056—0.06 

s 

// 

•200 

0.663 

404 

1.001  +0.69 

0,Jan.    0 

—  0.65 

+0.931 

+  3 

—  68 

+  4.09 

0 

—  10 

300 

0.567 

4.69 

0.939 

1.43 

10 

+  9.32 

0.848 

3 

93 

3.94 

0 

20 

400 

0.466 

5.31 

0.869 

2.16 

20 

19.30 

0.736 

3 

125 

3.70 

0 

30 

30 

29.27 

0.600 

4 

146 

3.35 

+  1 

40 

1866. 

1874. 

Feb.    9 

8.24 

0.446 

4 

161 

2.91 

1 

48 

0 

+0.500 

—5.11 

—  0.894!+1.91 

19 
Mar.   1 
11 
21 

18.21 
0.19 
10.16 
20.13 

0.282 
+0.120 
—0.033 
0.166 

4 
3 
3 

2 

165 
159 
141 
119 

2.39 
1.81 
1.20 

0.59 

1 
1 
1 
1 

55 
60 
62 
59 

100 
200 
300 
400 

0.396 
0.289 
0.179 
0.067 

5.69 
623 
6.71 
7.13 

0.819     2.63 
0.738     3.32 
0.651!     3.98 
0.558J    4.61 

31 

30.11 

0.269 

2 

86 

+  0.03 

1 

52 

1867. 

1875. 

100,  Apr.  10 
20 

9.08 
19.05 

0.336 
0.359 

1 
+  1 

—  46 

0 

-  0.46 

0.83 

1 

1 

43 

29 

0 
100 

+0.105 
—0.007 

—7.00 

7.38 

—0.590 
0.494 

+4.40 
5.00 

30 

29.02 

0.336 

0 

+  48 

1.04 

'+  1 

—  13 

200 

0.119 

7.70 

0.396 

5.56 

May  10 

9.00 

0.263 

0 

97 

1.09 

0 

+    6 

300 

0.230 

7.95 

0.293 

6.08 

20 

18.97 

—0.142 

0 

144 

0.92 

0 

27 

400 

0.339 

8.13 

0.188 

6.55 

30 

28.94 

+0.024 

1 

188 

—  0.54 

0 

49 

1868  B. 

1876  B. 

June  9 

7.91 

0.233 

1 

230 

+  0.05 

0 

71 

19 

17.89 

0.482 

2 

264 

0.85 

—  1 

89 

0 

—0.303 

—8.08 

—0.223+6.39 

29 

27.86 

0.758 

2 

290 

1.82 

2 

106 

100 

0.410 

8.21 

0.117 

6.82 

July   9 

7.83 

1.059 

2 

310 

2.96 

2 

121 

200 

0.513 

8.28 

—0.010 

7.20 

300 

0.611 

8/2? 

+0.097 

7.51 

200,          19 

17.81 

1.375 

2 

321 

4.22 

3 

131 

400 

0.704 

8.18 

0.203 

7.76 

29 

27.78 

1.698 

2 

325 

5.57 

3 

138 

Aug.  8 

6.75 

2.023 

2 

322 

6.97 

4 

141 

1869. 

1877. 

18 
28 

16.72 

26.70 

2.341 
2.649 

2 
2 

314 
301 

8.38 
9.77 

4 
4 

141 

136 

0 
100 

—0.674 
0.763 

—8.22 
8.09 

+0.168 
0.273 

+7.69 
7.90 

Sept.  7 
17 
27 

5.67 
15.64 
25.61 

2,942 
3.214 
3.466 

1 
1 
—  1 

283 
263 
238 

11.08 
12.30 
13.43 

5 
5 
5 

127 
118 

106 

200 
300 
400 

0.845 
0.919 
0.985 

7.89 
7.62 
7.29 

0.377 
0.477 
0.574 

8.04 
8.12 
8.13 

Oct.    7 

5.59 

3.690 

0 

211 

14.42 

5 

92 

1870. 

1878. 

17 

15.56 

3.888 

0 

185 

15.27 

5 

78 

0 

—0.964 

—7.41 

+0.542 

+8.14 

300,          27 

25.53 

4.059 

0 

156 

15.99 

5 

65 

100 

1.025 

7.03 

0.635 

8.10 

Nov.   6 

4.50 

4.199 

-f  1 

124 

16.58 

5 

52 

200 

1.077 

6.60 

0.724 

801 

16 

14.48 

4.307 

2 

92 

17.03 

5 

40 

300 

1.118 

6.11 

0.807 

7.84 

26 

24.45 

4.383 

2 

59 

17.39 

5 

30 

400 

1.151 

5.57 

0.884 

761 

Dec.    6 

4.42 

4.425 

3 

+  25 

17.63 

5 

18 

1871. 

1879. 

16 
26 
36 

14.40 
24.37 
34.34 

4.432 
4.403 
+4.340 

4 
5 

+  6 

—  11 

46 
-  79 

17.75 

17.78 
+17.70 

5 
4 
—  4 

+    7 
-  14 

0 
100 

200 

—  1.1  41  j—  5.76 
1.167     5.18 

1.183     4.57 

+0.859 
0.930 
0.995 

+7.69 
7.42 

7.08 

1 

1.189'     3.9'2 

1.051 

6.68 

400 

1.1851    3/23 

LG98 

6^23 

1872  B. 

1880  B. 

*  c5  0,                  May  9.7. 
>j<c  6  Mean  Sun,     May  8.7. 

0 
100 

—1.188 
1.177 

—3.47 

2.77 

+1.083 
1.125 

+6.39 
5.90 

20t 

1.156 

2.04 

1.157 

5.36 

301 

1.1S0 

1.31 

1.181 

4.77 

400 

—  1.087—0.56 

+1.191+4.14 

SPECIAL  TABLES. 


109 


TABLE  XXIV.-rf  Persei. 

h    m                                                    °      ' 

R.A.  3  33.7.                        Dec.  +  47  22. 

Upper  transit  at  fictitious  meridian. 

A0a 

AQ<J 

Side- 
real 

*•  1  2 

AQtt 

AQd 

Sidereul  D&v     iw^an  T*I«V 

Day. 

1870.    i^n 

Diff.  for 
10  d. 

187O. 

Var.in 

10  y. 

Diff  for' 
10  d. 

1865. 

8                     " 

1873. 

8                    " 

0 

+1.197 

-3.54! 

—1.455  +0.05 

100 

1.105 

4.24: 

1.415 

O.dxJ 

a 

// 

200 

1.003 

4.91 

1.362 

1.58 

0,  Jan.   0   —  0.63 

+1.467   +  5 

—  89 

+  9.40 

-  3 

+120 

300 

0.892 

5.54' 

•  1.300 

2.33 

10   +  9.34 

1.353 

5 

138 

10.47 

2 

9'2 

400 

0.773 

6.13 

1.226 

3.06 

20       19.31 

1.193 

6 

181 

11.22 

2 

59 

30 

29.29 

0.994 

7 

216 

11.64 

—  1 

+  25 

1866. 

1874. 

Feb.  9 

8.26 

0.765 

7 

240 

11.71 

+  1 

—  11 

'     0 

+0.814  —5.94 

—  1  252+2.81 

19 
Mar.  1 
11 
21 

18.23 
0.21 
10.18 
20.15 

0.518 
0.267 
+0.027 
—0.191 

6 
6 
6 
5 

251 

245 
231 
201 

11.42 
10.79 
9.1-5 
8.64 

1 

2 
2 
2 

46 
79 
108 
132 

100 

200 
300 

400 

a  690 
0.561 
0.426 

0.288 

6.48 
6.97' 
7.40 

7.77' 

1.172 

1.082 
0.983 
0.876 

3.52 
4.20 

4.85 
5.45 

31       30.12 

0.370 

4 

157 

7.22 

3 

150 

1867. 

1875. 

100,  Apr  10 
20 

9.10 
19.07 

0.502 
0.578 

3 
2 

105 
—  45 

5.67 
4.03 

3 
3 

161 
165 

0 

100 

+0.3351 
Q.I  95 

-7.6C! 

7.9b; 

—0.913+5.25 

0.802!    5.82 

30       29.04 
May  10         9.01 

0.591 
0.538 

0 

+  20 

87 

2.39 

+  0.82 

3 
2 

162 
151 

200 
300 

+0.053 
-0.089 

8.23 

8.40; 

0.684     6.35 
0.560     6.82 

20       18.99 

0.417 

—  1 

152 

—  0.61 

2 

134 

400 

0.230 

8.51 

0.433|    7.23 

30 

28.96 

-0.235 

1 

213 

1.85 

2 

114 

1868  B. 

1876  B. 

June  9 
19 

7.93 
17.91 

+0.007 
0.302 

2 
3 

270 
318 

2,87 
3.61 

+  I 

89 
60 

0 

—0.1831—8.48 

—0.476 

+7.10 

29 

27.88 

0.641 

3 

358 

4.06 

0—30 

100 

0.32-2     8.54 

0346 

7.47 

July  9 

7.85 

1.016 

3 

388 

421 

—  1 

+     1 

200 

300 

0.459     8.52 
0.592     843 

0.212 
-0.077 

779 

8.04 

200,          19 

17.82 

1.415 

3 

410 

4.05 

1 

30 

400 

0.719 

8.26 

+0059 

8.22 

29 

27.80 

1.833         3 

423 

3.62 

2 

59 

Aug.  8 

6.77 

2.258 

3 

427 

2.88 

3 

86 

1869. 

1877. 

18  !     16.74 
28       26.71 

2.684 
3.102 

3 
2 

423 
413 

1.91 
—  0.70 

4 
5 

109 
131 

0 
100 

—0.677 
0.800 

-8.32; 
8.11 

+0.013'+8.I7 
0.149     831 

Sept.  7         5.69 
17       15.66 
27       25.63 

3507 
3.891 
4.250 

2 
—  1 

0 

395 
371 
346 

+  0.71 
2.-29 
4.02 

6 
6 
7 

150 
166 
179 

200 
30( 

400 

0.915 
1.023 
1.121 

7.83 
7.47 
7.06 

0.284     8.38 
0.417     8.38 
0.546|    8.31 

Oct.    7         5.61 

4.582 

+  1 

316 

5.85 

7 

188 

1870. 

1878. 

17        1  5'.  58 

4.881 

2 

282 

7.76 

8 

195 

I 

0 

—1.089 

—7.21 

+0.5031+8.34 

300,          27       25.C,5 

6.144 

3 

243 

9.73 

9 

198 

IOC 

J.181 

6.75 

0.630|    8.23 

Nov.  6         4.52 

5.365 

4 

200 

11.71 

9 

198 

201 

1.262 

6.24 

0.751 

8.05 

16       14.50 

5.54-2 

5 

155 

1367 

9 

193 

30( 

1.332 

5.67 

0.867 

;    7.80 

26 

24.47 

5.673 

6 

106 

15.56 

9 

186 

400 

1.391 

5.06 

0.977     7.48 

Dec.  6 

4.44 

5.752 

7 

+  53 

17.37 

8 

175 

1871. 

1879. 

16 
26 
36 

14  41 
24.39 
34.36 

5.779 
5.749 
+5.669 

8—2 
9         55 
+10   —106 

19.03 
20.50 
+21.74 

8 
8 
—  8 

158 
136 
+110 

0 
100 
2(K 

—1.372 
1.423 
1.462 

—5.27 
4.63 
3.95 

+0.940+7.60 
1.044     7.24 
1.142     6.82 

300 

1.488 

3.24 

1  ^v( 

400 

L501 

L302     5.82 

1872  B. 

1880  B. 

*  6  0,                  May  16.3. 
5JC  6  Mean  Sun,     May  15.4. 

0 
100 

—  1.498—2.76 
1  .5031    2.01 

+1.C-78+6.00 
1.347     5.44 

:  200      1.495 

1.25 

1.4(5     4.8-2 

300      1.475—0.47 

1.451 

4.17 

400—1.443+0.30  +1.  485  +3.48 

110 


SPECIAL  TABLES. 


TABLE  XXIV.—  n  Tauri. 

h    m                                                 °      ' 

R.A.  3  39.8.                       Dec.  +23  42. 

Upper  transit  at  fictitious  meridian. 

A    a 

A    d 

Side- 
real 

Aa° 

AQd 

Ar<« 

AQd 

Day. 

Siilcrcul  Day 

Me  fin  D&y 

1870. 

Var.in 
10  y. 

Diff.  fo 
10  d. 

187O. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

8 

1873. 

8                     " 

0 

+0.8591—3.74 

—1.134+0.24 

100 

0.772 

4.45 

1.086i     1.02 

1 

// 

200 

0.678 

5.11 

1.030 

1.78 

0,  Jan.   0 

—  0.63 

f  1.107 

-f  3 

—  45 

+  4.09 

0 

+   11 

300 

0.579 

5.73 

0.965 

2.53 

10 

+  9.35 

1.043 

4 

82 

4.15 

0 

0 

400 

0.474 

6.31 

0.892     3.26 

20 

19.32 

0.-)45 

4 

115 

4.10 

0 

—  11 

30 

29.29 

0.814 

4 

143 

3.94 

0 

22 

I860. 

1874. 

Feb.    9 

8.26 

0.660 

4 

163 

3.67 

+  1 

33 

0 

+0509—6.12 

._  0.9171+3.02 

19 
Mar.   1 
11 
21 

18.24 
0.21 
10.18 
20.16 

0.490 
0.315 
+0.143 
—0.011 

4 
4 
4 
3 

174 
175 

164 
143 

3.29 
2.83 
2.30 
1.70 

42 

50 
57 
61 

100 

200 
300 

400 

0.402 
0.291 
0.17? 

0.061 

6.66 
7.14 

7.55 
7.90 

0.840     3.72 
0.755     4.40 
0.665     5  04 
0.569|    5.63 

31 

30.13 

0.141 

3 

1J4 

1.10 

60 

1867. 

1875. 

100,  Apr.  10 
20 
30 

9.10 
19.07 
29.05 

0.237 
0.291 

0.300 

2 
2 

+  1 

76 
—  32 
+  16 

0.52 
+  0.01 
—  0.39 

1 

55 
46 
34 

0 
100 
200 

+0.100 
1—0.016 
0.131 

—7.79 
8.U 
8.33 

+0.6021+5.43 
0.503     6.00 
0.401      6.  M 

May  10 

9.02 

0.258 

0 

67 

0.66 

-f-  1 

19 

300 

0.246 

8.49 

0.294 

!     6.97 

20 

18.99 

0.166 

0 

116 

0.76 

0 

—    1 

400 

0.358 

8.58 

O.i86i    7.38 

30 

28.96 

—0.026 

0 

164 

0.68 

0 

+  17 

1868  B. 

1876  B. 

June  9 

7.94 

+0.160 

—  1 

207 

—  0.40 

o 

36 

19 

17.91 

0.386 

1 

245 

+  0.06 

0 

55 

0 

—0.320 

—8.56 

—0.223+7.25 

29 

27.88 

0.647 

2 

276 

0.70 

—  1 

73 

100 

0.430 

8.60 

0.113;    7.61 

July  9 

7.86 

0.935 

2 

300 

1.52 

1 

89 

200 
300 

0.537 

0.638 

8.56 
8.45 

—0.003;     7.91 
+O.J08     8.14 

200,          19 

17.83 

1.245 

2 

316 

2.47 

2 

102 

400 

0.733|     8.26 

0.2l8i    8.31 

29 

27.80 

1.565 

3 

325 

3.54 

3 

111 

Aug.  8 

6.77 

1.894 

3 

329 

4.67 

I 

116 

1869. 

1877. 

18 

28 

16.75 
26.72 

2.222 
2.545 

3 
2 

326 
318 

5.85 
7.04 

4 
4 

119 
118 

0 
100 

—0.7021—8.33 
0.793!    8.10 

+0.181 
0.290 

+8.27 
8.39 

Sept.  7 
17 

27 

5.69 
15.66 
25.64 

2.856 
3.152 
3.429 

2 
1 
1 

304 

287 
268 

8.20 
9.31 
10.34 

5 
5 
5 

114 

107 
99 

200 
300 

400 

0.878 
0.954 
1.022 

7.80 
7.43 
6.99 

0.396 
0.500 
0.599 

8.44 
8.42 
8.33 

Oct.    7 

5.61 

3688 

—  1 

246 

11.28 

6 

90 

187O. 

18 

17 

15.58 

3.921 

0 

220 

12.14 

6 

81 

0 

—1.000 

—7.15 

+0.566 

+8.38 

300,          27 

25.55 

4.127 

0 

192 

12.89 

6 

70 

100 

1.062 

6.67 

0663 

8.24 

Nov.  6 

4.53 

4.305 

+  1 

163 

13.54 

6 

61 

200 

1.114 

6.14 

0.754 

8.04 

16 

14.50 

4.452 

2 

131 

14,11 

6 

52 

300 

1.158 

5.56 

0.839 

7.78 

26 

24.47 

4.566 

2 

95 

14.58 

7 

42 

400 

1.190 

4.93 

0.918 

7.45 

Pec.   6 

4.45 

4.642 

3 

58 

14.96 

6 

33 

1871. 

1879. 

16 
26 
36 

1442 
24.39 
34.36 

4.681 
4.680 
-f4.641 

4 

5 

+  5 

+  19 
-  20 
-59 

15.25 
15.47 
+15.60 

I 

5 
—  5 

25 

18 
+    7  ' 

0 
100 
200 

-1.180 
1.207 
1.222 

—5.15 
4.49 

3,80 

+0.892+7.56 
0.96o|     7.19 
1.031!    6.75 

300 

1.228 

%  ns 

1.088 

6.26 

400 

1.223     2.'  34 

1J37 

5^71 

1872  B. 

188OB. 

*  6  ©,                 May  17.9. 
sjc  d  Mean  Sun,     May  16.9. 

0 

100 

—1.226 
1.214 

-2.59 

1.83 

+1.121 
1.164 

+5.90 
5.32 

200 

1.192     1.06 

1.196 

4.69 

300 

1.160—0,28 

1.218 

4.03 

400 

-1.1191+0.50 

+1.230+3.32 

SPECIAL  TABLES. 


Ill 


TABLE  XXIV.-CPersel. 

h    m                                                     o      / 

R.A.  3  46.0.                       Dec.  +  31  30. 

i 
Upper  transit  at  fictitious  meridian. 

A0a 

A.d 

Side- 
real 

AQtt 

AQ(J 

AQa 

AaJ 

Day. 

Sidcrcfll  Dsv 

AfpanT^av 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Vnr.in 

10y. 

Diff.  for 
10  d. 

1865. 

B                   " 

1873.^ 

0 

+0.943 

—3.95 

—  1.8219 

+0.45 

100 

0.854 

4.65 

1.173 

1.22 

8 

ii 

200 

0.757 

5.31 

1.116 

1.99 

0,Jan.    0 

-  0.62 

+1.220 

+  3 

—  46 

+  5.66 

—  2 

+  49 

300 

0.653 

5.92 

1.050 

2.74 

10 

+  9.35 

1.153 

4 

87 

6.08 

1 

34 

400 

0.544 

6.48 

0.976 

3.46 

20 

1932 

1.048 

4 

123 

6.33 

—  1 

+  16 

30 

29.30 

0.909 

4 

155 

6.40 

0 

-    1 

1866. 

1871. 

Feb.   9 

8.27 

0.741 

4 

178 

6.30 

0 

21 

0 

+0.581 

—6.30 

—1.002 

+3.22 

19 
Mar.   1 
11 
21 

18.24 
0.21 
10.19 
20.16 

0.557 
0.364 
0.176 
+0.006 

4 
4 
4 
4 

190 
192 
181 
159 

5.99 
5.52 
4.89 
4.15 

+  1 
1 

1 

1 

39 
55 

69 

81 

100 
200 
300 
400 

0.468 
0.351 
0.231 

0.109 

6.83 
7.29 

7.70 
8.04 

0-923 
0.836 
0.742 
0.643 

3.93 
4.60 
5.23 

5.82 

31 

30.13 

—0.140 

3 

130 

3.29 

1 

88 

1867. 

1875. 

100,  Apr.  10 
20 
30 

9.11 

19.08 
29.05 

0.250 
0.315 
0.330 

3 
2 

+  I 

89 
—  41 
+  11 

2.40 
1.52 

+  0.70 

1 
2 
2 

89 

86 
78 

0 
100 
200 

+0.151 
+0.028 
—0.095 

-7.93 

8.22 
8.44 

—0.677 
0.574 
0.466 

+5.62 
6.18 
6.68 

May  10 

9.02 

0293 

0 

63 

—  0.02 

2 

66 

300 

0.217 

8.58 

0.355 

7.13 

20 

19.00 

0.203 

0 

117 

0.60 

2 

49 

400 

0.337 

8.65 

0.240 

7.52 

30 

2897 

—0.060 

—  1 

168 

1.00 

+  1 

30 

1868  B. 

1876  B. 

June  9 

7.94 

+0.132 

1 

214 

1.20 

0 

—  10 

19 

17.91 

0367 

2 

255 

1.19 

0 

+  12 

0 

—0.297 

—8.63 

—0.279'  +7.  39 

29 

27.89 

0.639 

2 

0.96 

0 

35 

100 

0.415 

8.65 

0.163 

7.74 

July  9 

7.86 

0.942 

2 

315 

—  0.53 

_  1 

52 

200 

0.530 

8.60 

—0.046 

803 

300 

0.639 

8.46 

+0.071 

8.25 

200,          19 

17.83 

1.267 

2 

335 

+  0.08 

1 

70 

400 

0.743 

8.26 

0.188 

8,40 

29 

2780 

1.609 

2 

346 

0.87 

2 

87 

Aug.  8 

6.78 

1.956 

2 

350 

1.82 

3 

99 

1869. 

1877. 

18 
28 

16.75 
26.72 

2.306 
2.648 

2 

2 

347 
340 

2.85 
3.99 

3 
4 

109 
U6 

0 
100 

—0.709 

0.808 

-8.34 

8.08 

+0.149 
0.266 

+836 
8.46 

Sept.  7 
17 
27 

5.70 
15.67 
25.64 

2.984 
3.304 
3.605 

2 
2 
1 

329 
311 
291 

5.17 
637 
7.59 

5 
5 

6 

119 
121 
121 

200 
300 

400 

0.900 
0.984 
1.060 

7.76 
7.37 
6.92 

0.3SO 
0.491 

0  598 

8.50 
8.46 
8.36 

Oct.    7 

5.61 

3.885 

—  1 

269 

8.78 

6 

118 

187O. 

1878. 

17 

15.59 

4.141 

0 

243 

9.94 

6 

115 

0 

—1.035 

—7.08 

+0.563 

+8.40 

300,          27 

25.56 

4.369 

+  1 

213 

11.07 

7 

110 

100 

1.105 

6.58 

0.667 

8.25 

Nov.  6 

4.53 

4.566 

181 

12.13 

7 

104 

200 

1.164 

6.04 

0.766 

8.03 

16 

14.50 

4.730 

2 

146 

13.14 

7 

97 

300 

1.213 

5.44 

0.8-')9 

7.74 

26 

24.48 

4.857 

2 

108 

14.07 

7 

90 

400 

1.252 

4.80 

0.945 

7.39 

Dec.   6 

4.45 

4.946 

3 

68 

14.93 

6 

82 

1871. 

1879. 

16 
26 
36 

14.42 
24.40 
34.37 

4.993 
4.995 
+4.956 

4 

5 
+  6 

+  24 
—  19 
—  60 

15.71 
16.38 

+16.88 

6 
6 
—  6 

71 

58 
+  44 

0 
100 

!  200 

—1.240 
1.272 
1.293 

—5.02 
4.35 
3.65 

+0.917 
0.998 
1.071 

+7.52 
7  13 

6.67 

300 
400 

1.302 
1.301 

2.9! 
2.16 

1.135!    6.16 

1.1901    5.60 

1872  B. 

1880  B. 

-X-  6  0,                 May  19.4. 

0 

—1.303 

—2.42 

+1.173+5.79 

;fc  c5  Mean  Sun,     May  18.5. 

100 

1.294 

1.65 

1.221 

5.20 

200 

1.27o 

0.87 

1.260 

4.55 

300 

1.245 

—0.08 

1.287 

3.S7 

400 

—1.205 

+0.70 

+1.304 

+3.16 

112 


SPECIAL  TABLES. 


I 

1 

TABLE  XXIV.—  y1  Eridani. 

h    m                                                      °      ' 

R.A.  3  52.0.                       Dec.  —  13  53. 

Upper  transit  at  fictitious  meridian. 

A    a 

' 

A    d 

Side- 
real 

AQa 

AQf> 

AQa 

AQ,3 

Day. 

s™, 

1870. 

Var.  in  Diff.  for 
10  y.       10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                   " 

1873. 

B                       " 

0 

+0.511 

—4.15 

—0794 

+0.64 

100 

0.432 

4.84 

0.74i 

1.42 

s 

// 

200 

0.349 

5.49 

0.681 

2.19 

0,Jan.    0 

—  0.62 

+1.076 

+  2—52 

-  4.85 

+  1 

—154 

300 

0.263 

6.10 

0.617 

2.93 

10  ;+  9.35 

1.007 

3         85 

6.29 

133 

400 

0.175 

6.6£ 

0.547 

3.66 

20       19.33 

0.906 

3       J17 

7.50 

1 

109 

1 

30 

29.30 

0.775 

3       144 

8.47 

+  1 

82 

1866. 

1874. 

Feb.   9 

8.27 

0.621 

3 

163 

9.14 

0 

54 

0 

+0.2C6 

—6.47 

—0.571 

+3.42 

19 
Mar.   1 
11 
21 

18.25 
0.22 
10.19 
20.16 

0.451 
0.275 
+0.100 
-0.061 

3 
2 
2 
2 

174 
177 
169 
153 

9.55 
9.64 
9.43 

8.94 

0 
0 
0 
0 

—  26 
+    6 
35 
65 

100 
200 
300 
400 

0.1  1C 
+0.025 
—0.066 
0.156 

6.99 

7.44 
7.83 
8.  IT. 

0.499 
0423 
0.343 
0.260 

4.12 

4.78 
5.41 
5.99 

31 

30.14 

0.204 

2 

129 

8.14 

—  1 

94 

1867. 

1875. 

100,  Apr.  10 
20 

9.11 

19.08 

0.317 
0.394 

2 
2 

96 
57 

7.07 
5.75 

1 
1 

120 
146 

0 
100 

—0.125 
0.215 

—8.05 
8.33 

—0.288+5.80 
0205'     6.34 

30 

29.05 

0430 

1 

—  14 

4.16 

2 

170 

200 

0.302 

8.53 

0.119 

6.84 

May  10 

9\03 

0.422  i+  1 

+  31 

2.35 

2 

190 

300 

0.387     8.66 

—0.033 

7.27 

20 

19.00 

0.367 

0 

77 

—  0.36 

3 

208 

400 

0.468 

8.71 

+0.054 

7.65 

30 

28.97 

0.268 

0 

122 

+  1.80 

3 

222 

1868  12. 

187611. 

June  9 

7.95 

—0.124 

_  i 

163 

4.06 

3 

229 

19 

17.92 

+0.057 

1 

200 

6.36 

o 

232 

0 

—0.411 

—8.70 

+0.0*25 

+7.53 

29 

27.89 

0.275 

I 

233 

8.69 

3 

228 

100 

0.520 

8.70 

0.111 

7.87 

July  9 

7.86 

0.521 

1 

259 

10.92 

3 

218 

200 
300 

0.594 
0.662 

8.62 
8.47 

0.196 

0.280 

8.14 
8.34 

200,          19 

17.84 

0.791         2 

279 

13.04 

3 

203 

400 

0.725 

8.25 

0.362 

8.48 

29 

27.81 

1.077         2 

292 

14.96 

3 

181 

Aug.  8 

6-78 

1.372         2 

297 

16.64 

3 

153 

1S69. 

1877. 

18 

28 

16.75 
26.73 

1.670 
1.965 

2 
2 

297 
293 

1800 
19.02 

3 
3 

120 

84 

0 
100 

—0.705 
0.763 

—8.33 
8.06 

+0.335 
0.414 

+8.44 
8.53 

Sept.  7 
17 

27 

5.70 
15.67 
25.65 

2.254 
2.530 

2.788 

3 
2 
2 

283 

268 
249 

19.66 
19.89 
19.72 

3 
3 
3 

44 
+     3 
—  37 

200 
300 
400 

0.815 
0.859 
0.896 

7.72 
7.3J 
6.84 

0.491 
0.564 
0.632 

8.55 
8.49 

8.37 

Oct.    7 

5.62 

3.027         1 

227 

19.16 

3         75 

1870. 

1878. 

17 

15.59 

3.242 

1 

203 

18.24 

2       108 

0 

—0.885 

—7.01 

+0.6091+8.42 

300,          27 

2556 

3.432 

—  1 

177 

17.02 

2       137 

100 

0.916 

6.51 

0.674  i     8.25 

Nov.  6 

4.54 

3.594 

0 

147 

15.52 

2       159 

200 

0.940 

5.94 

0.733     802 

16 

14.51 

3.725         0 

114 

13.86 

2       173 

300 

0.956 

53* 

0.787     7.71 

26 

24.48 

3.822  :+  1 

80 

12.06 

2       184 

400 

0.963 

4.67 

0.8341    7.34 

Dec.   6 

4.45 

3.884  i      2 

44 

10.21 

2       184 

1871. 

1S79. 

16 
26 
36 

14.43 
24.40 
34.37 

3909         2+7 
3.898        2—28 
+3.852  '+  3  —  64 

8.40 
6.69 
+  5.12 

2       177 
2       165 

—  2  —148 

0 
100 
200 

—0.962 
0.964 
0.958 

—4.89 
4.21 
3.49 

+0.818 
0.861 
0.897 

+7.47 

7.06 
6.59 

t 

300 

0.943 

2.75 

Ct  Ov>:% 

6-07  1 

400 

L98      0.945 

5.49 

1872  B.             1880  B. 

#  d  0,                  May  20  9. 
>j<  d  Mean  Sun,     May  20.0. 

0 
100 

200 

—  0.929J—  2.24JJ+0.  939!  +5.  69 
0.902!     1.47      0.9,14     5.08 
0.8671—0.681!     0.961      4.42 

300|     08251+0.  11!      0.960 

3.73 

4001—0.776  +0.90i:+0.951 

+3.00  ! 

i 

SPECIAL  TABLES. 


113 


TABLE  XXIV.—  7  Tauri. 

h    m                                                  °      ' 

E.A.  4  12.4.                       Dec.  +  15  19. 

Upper  transit  at  fictitious  meridian. 

AQa 

AQ<5 

Side- 
real 
Day. 

Aaa 

An<5 

Ana 

A^ 

Sidereal  Day. 

loiin  D*iy  • 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

187O. 

V&r.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

g               " 

1873. 

8                    " 

0 

+0.763 

—4.80 

—1.050 

+1.30 

100 

0.676 

5.47 

0.999 

2.U8 

8 

// 

200 

0.583 

6.10 

0.939 

2.85 

0,  Jan.   0 

—  0.60 

|-1.175 

+  2 

—  17 

+  1.44 

0 

—  28 

300 

0.485 

6.67 

0,872 

3.59 

10 

+  9.37 

1.138 

3 

56 

1.15 

0 

29 

400 

0.383 

7.19 

0.798 

4.30 

20 

19.34 

1.065 

4 

92 

0.85 

0 

30 

30 

29.31 

0.956 

3 

124 

0.55 

0 

30 

1866. 

1874. 

Feb.   9 

8.29 

0.819 

3 

149 

+  0.25 

0 

31 

0 

+0.418 

—7.02 

—0.824 

+4.07 

19 

Mar.   1 
11 
21 

18.26 
0.23 
10.20 
20.18 

0.660 
0.492 
0321 
0.158 

3 
3 
3 
3 

165 
171 

168 
154 

—  0.07 
0.38 
0.67 
0.94 

0 
0 

+  1 

32 
31 

28 
25 

100 
200 
300 
400 

0.313 
0.205 
+0.096 
—0.014 

7.50 
7.91 

8.25 
8.52 

0.746 
0.661 
0.572 
0.478 

4.75 
5.40 
6.00  ! 
6.55 

31 

30  15 

+0.016 

3 

130 

1.16 

1 

19 

1867. 

1875. 

100,  Apr.  10 
20 

9.12 
19.10 

—0.099 
0.178 

2 
2 

98 
58 

1.32 
1.40 

1 
1 

12 
—    1 

0 
100 

+0.023 
—0.087 

—8.44 
8.66 

—0.510+6.37 
0.413;    6.88 

30 

29.07 

0.214 

2 

—  15 

1.33 

+  1 

+  12 

200 

0.196 

8.80 

0.313!    7.34 

May  10 

9.04 

0.207 

+  1 

+  31 

1.16 

0 

25 

300 

0.304 

8.87 

0  211     7.73  i 

20 

19.01 

0.152 

0 

79 

0.82 

0 

41 

400 

0.409 

8.86 

0.109J    8.07 

30 

28.99 

—0.050 

0 

125 

—  0.34 

0 

55 

1868  B. 

1876  B. 

June  9 
19 
29 
July    9 

7.96 
17.93 

27.90 

7.88 

+0.097 
0.283 
0.506 
0.760 

—  1 
1 
1 

2 

167 
205 
240 
267 

f  0.29 
1.07 
1.98 
2.99 

—  1 
1 

1 

71 

85 
96 
105 

0 
100 
200 
300 

—0.374 
0.477 
0.575 
0.668 

—8.87 
8.81 
8.67 
8.46 

—0.142 
—0.037 
+0.068 
0.173 

+7.96 
8.25 

8.47 
8.62 

200,          19 

17.85 

1.G37 

2 

286 

4.08 

3 

111 

400 

0.755 

8.18 

0.276 

8.70 

29 
Aug.  8 

27.82 
6.80 

1.330 
1.635 

3 
3 

300 

308 

5.20 
6.31 

3 
3 

112 
110 

1869. 

1877. 

18 
28 

16.77 
26.74 

1.944 
2.254 

2 

2 

310 

307 

7.39 
8.39 

4 

4 

104 
95 

0 
100 

—0.726 
0.809 

—8.28 
7.95 

!+0.242'+8.68 
0.344     8.71 

Sept.  7 
17 

5.71 

15.69 

2,557 

2.851 

2 
2 

299 

289 

9.29 
10.05 

4 
5 

83 
69 

200 
300 
400 

0.884 
0.951 
1.011 

7.54 

7.08 
6.55 

0.443     8.67 
0.539     8.56 
0.631  [    8.38 

27 

25.66 

3  133 

1 

274 

10.66        5 

54 

Oct.    7 

5.63 

3.398 

1 

257 

11.12 

5 

38 

1870. 

1878. 

17 

15.60 

3.645 

—  1 

237 

11.43 

5 

23 

o 

-0.992 

-6.73 

+0.600 

+8.45 

300,          27 

25.53 

3.870 

0 

212 

11.59        6 

+  10 

100 

1.045 

6.17 

0.689 

8.22 

Nov.  6 

4.55 

4.068 

0 

185 

11.63 

6 

—    2 

200 

1.089 

5.56 

0.771 

7.92 

16 

14.5-2 

4.239 

+  1 

157 

11.56 

6 

11 

3UO 

1.124 

4.89 

0.848 

7.55 

26 

24.50 

4.380 

1 

124 

11.42  |      6 

18 

400 

1.149 

4.19 

0.918 

7.13 

Dec.  6 

4.47 

4.486 

2 

88 

11.21         6 

23 

1871. 

1879. 

16 
26 
36 

14.44 
24.41 
34.39 

4.555 
4.585 
+4.573 

2 
3 
+  4 

50 

+    9 
—  32 

10.98 
10.69 
+1U.40 

6 
6 

—  6 

26 
28 
—  29 

0 
100 
200 

—1.141 
1.16U 
1.168 

1—4.43 
3.71 
2.95 

+0.895 
0.960 
1.017 

'+7.28 
6.81 
6.28 

i 

300 

1.167 

2.18 

1.066 

5.70 

400 

1.155 

1.38 

1.106 

5.07 

1872  B. 

1880B. 

'  *  6  0,                 May  26.0. 
#  <3  Mean  Sun,     May  25.2. 

0 
100 

—1.1601—1.65+1.093 
1.143     0.851      1.127 

+5.29 
4.63 

200     1.115—0.04      1.152 

3.93 

!  300     1.079'  +0.76      1.166 

3.19 

I  400—1.033+1-56  +1.171+2.43 

1                                                                  1                                                       ' 

114 


SPECIAL  TABLES. 


TABLE  XXIV.-e  Tauri. 

h    m                                                  o     / 

R.A.  4  21.0.                       Dec.  +  18  53. 

Upper  transit  at  fictitious  meridian. 

A0a 

A0<5 

Side- 
real 

A0a 

A    * 

Aaa 

£    , 

Sidereal  Da 

Day. 

1870. 

Var.  in 
10  y. 

Diff.  for 
]0d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                   " 

1873. 

B                         " 

0 

+0.791 

—5.06 

—1.082 

+1.57 

. 

100 

0.702 

5.72 

1.030 

2.36 

s 

// 

200 

0.608 

6.34 

0.970 

3.13 

0,Jan.    0 

—  0.60 

+1.229 

+  2 

—  10 

+     .95 

—  1 

—  11 

300 

0.507 

6.90 

0.902 

3.86 

10 

+  9.38 

1.199 

3 

51 

.83 

1 

12 

400 

0.403 

7.40 

0.827 

4.57 

20 

19.35 

1.129 

3 

89 

,70 

1 

15 

30 

29.32 

1.023 

3 

122 

.52 

1 

20 

1866. 

1874. 

Feb.    9 

8.29 

0.887 

3 

149 

.31 

1 

23 

0 

+0.438 

—7.24 

—0.853 

+4,33 

19 

18.27 

0.727 

4 

168 

1.07 

I 

27 

100 

0.331 

7.69 

0.773 

5.01 

Mar.   1 

0.24 

0.554 

4 

176 

0.78 

o 

30 

200 

0.221 

8.09 

0.687 

5.65 

11 

10.21 

0.378 

4 

173 

0.48 

o 

32 

300 

+0.109 

8.41 

0.596 

6.23 

21 

20.18 

0.211 

3 

160 

+  0.15 

+  1 

33 

400 

—0.004 

8.65 

0.500 

6.77 

31 

30.16 

+0  061 

3 

137 

—  0.15 

1 

29 

1867. 

1875. 

100,  Apr.  10 
20 
30 
May  10 

20 

9.13 

19.10 
29.08 
9.05 
19.02 

—0.061 
0  148 
0.193 
0.193 
0.144 

3 

2 

1 

103 
65 
—  23 

+  24 
73 

0.42 
0.65 

0.78 
0.81 
0.70 

1 
1 

1 

+  1 

0 

25 

18 
—    8 
+    4 

18 

0 
100 
200 
300 
400 

+0.034 
—0.079 
0.192 
0.303 
0.410 

—8.58 
8.78 
890 
8.94 
8.9J 

-0.532 
0.433 
0.331 
0.226 
0.119 

+6.60 
7.09 
7.53 
7.91 

8.22 

30 

28.99 

—0.047 

0 

121 

0.45 

0 

33 

1868  B. 

1876  B. 

June  9 

7.97 

+0.096 

—  1 

164 

—  0.05 

0 

47 

19 

17.94 

0.279 

1 

203 

+  0.49 

—  1 

61 

0 

—0.374 

-8.93 

—0.155 

+8.12 

29 

27.91 

O.f,00 

2 

235 

1.17 

1 

74 

100 

0.480 

8.84 

—0.048 

8.39 

July  9 

7.88 

0.753 

2 

265 

1.96 

2 

84 

200 

0.581 

8.68 

+0.060 

8.59 

300 

0.677 

8.44 

0.168 

8.72 

2CO,          19 

17.86 

1.C28 

2 

286 

285 

2 

92 

400 

0.767 

8.12 

0.274 

8.77 

29 

27.83 

1.324 

2 

303 

3.80 

3 

97 

i 

Aug.  8 

6.60 

1.632 

3 

312 

4.78 

3 

97 

1869. 

1877. 

18 
28 

16.77 
26.75 

1.946 
2.261 

3 
3 

315 
314 

5.74 
6.67 

4 

4 

95 

89 

0 
100 

-0.738 
0.823 

—8.24 
7.88 

+0.239 
0.344 

+8.76 

8.77 

Sept.  7 
17 

27 

5.72 
1569 
2567 

2.572 
2.874 
3.166 

3 

2 
2 

307 

298 
284 

7.52 

8.30 
8.94 

4 
4 
5 

81 
70 
58 

200 
300 
400 

0901 
0.971 
1.031 

7.45 
6.96 
6.41 

0.446 
0.545 
0.639 

8.70 
8.57 
8.36 

Oct.    7 

5.64 

3.441 

2 

267 

9.47 

5 

47 

187O. 

1878. 

17 

15.61 

3.699 

1 

248 

9.89 

6 

35 

300,          27 

25.58 

3.936 

_  j 

225 

10.18 

6 

24 

c 

100 

—1.013 

.068 

—6.60 
6.02 

+0.608 
O.G99 

+8.44 

8.18 

Nov.   6 

4.56 

4.148 

0 

199 

10.38 

6 

15 

200 

.114 

5.3b 

0.785 

7.86 

16 

14.53 

4.333 

0 

169 

10.48 

6 

7 

300 

.151 

4'.  70 

0.8G4 

7.47 

26 

24.50 

4.485 

-f  1 

135 

10.52 

6 

+     1 

400 

.177 

3.9o 

0.936 

7.02 

Dec.    6 

4.47 

4.602 

2 

98 

10.51 

6 

—    3 

1871. 

1879. 

16 
26 
36 

14.45 
24.42 
34.39 

4.681 
4.721 

+4.718 

3 
4 
+  5 

60 
+  19 
—  24 

10.46 
10.39 
+10.29 

6 
6 
—  6 

6 
9 
—  11 

0 
100 
200 

—  .169 
.189 
.199 

1  OC 

—4.23 
3.49 

2.72 

-I    Q«) 

+0.913 
0.980 
1.040 

1   non 

+7.18 
6.69 
6.14 

c   r/£ 

400 

.  IVo 

.188 

J.cM 

1.12 

J.Ui'U 

1.132 

O.O1 

4.89 

1872  B. 

1880  B. 

*  6  ©,                 May  28.1. 
>fc  6  Mean  Sun,     May  27.4. 

0 

—  .192 

—1.40 

+1.119+5.11 

100 

.175 

—  0.£9 

1.155 

4.43 

200 

1.148+0.23 

1.181 

3.71 

300 

1.1  Jl!     1.04 

1.1  97j    2.96 

400 

—  1.065!+1.83 

+1.203+2.19 

SPECIAL  TABLES. 


115 


TABLE  XXIV.-*  9  Canielopardalis. 

h    m                                                    °      ' 

R.A.  4  41.1.                       Dec.  +66    7. 

Upper  transit  at  fictitious  meridian. 

AQa 

A0d 

Side- 
real 

i            i 

Aft« 

Aad 

Day. 

Sidereal  Day.   Mean  Day. 

is-Tft     1  Var.in 

Diff.  for 

1  W^rt 

Var.in 

Diff  for 

1865. 

1873. 

M.94V* 

10  y. 

10  d. 

M.&  4  "• 

10  y. 

10  d. 

8 

8 

if 

0 

+1.600|—  5  63 

—1.987+2.20 

100 

1.468 

O5i7; 

1.924: 

2.98 

g 

If 

200 

1.321 

6.85 

1.845 

3.74 

0,  Jan.    0 

—  0.58 

+3.023 

+  9 

—  63 

+  7.86 

—  7 

+237 

300 

1.164 

7.38! 

1.752 

4.47 

10  !+  9.39 

2.909 

11 

163 

10.12 

7 

212 

400 

0.996 

7.84' 

1.643 

5.15 

20       19.36 

2.699 

13 

256 

12.09 

6 

180 

30       29.33 

2.402 

14 

336 

13.70 

5 

141 

1866. 

1874. 

Feb.  9 

8.31 

2.032 

15 

400 

14.89 

4 

96 

0 

+1.054 

-7.69 

—1.681 

+4.92 

19 
Mar.  1 
11 
21 

18.28 
0.25 
10.23 
2020 

1.608 
1.151 
0.685 
+0.232 

15 
15 
15 
14 

444 

465 
463 
437 

15.62 
15.85 
15.60 
14.86 

2 
—  1 

0 
+  1 

+  48 

50 
96 

100 
200 
300 
400 

0.879 
0.697 
0.509 
0.316 

8.11 

8.45 
8.72 
8.92 

1.564 
1.434 
1.293 
1.141 

5.58 
6.19 
6.75 
7.25 

31       30.17 

—0.183 

12 

390 

13.69 

2 

136 

1867. 

1875. 

i  100,  Apr  10        9.14 
20       19.12 

0.540 
0.823 

11 

9 

323 

240 

12.14 

10.27 

3 
4 

172 

200 

0+0.382 
lOOl-r-0.187 

-8.86 
9.00 

—  1.193!+7.C9 
1.0351    7.55 

30       29  09 

1.016 

7 

146 

8.17 

5 

219 

200 

—0009 

9.07 

0.869!    7.95 

May  10  i      9.06 

1.112 

4 

—  44 

5.92 

5 

230 

300 

0.205 

9.05 

0.6SG 

8.28 

20 

19.03 

1.104 

4-2 

+  60 

3.59 

5 

233 

400 

0.399 

8.96 

0.516 

8.54 

30 

29.01 

0.993 

0 

163 

+  1.28 

5 

228 

1868  B. 

1876  B. 

June  9         7.98 
19       17.95 
29       27.92 

0.779 
0.470 
—0.075 

—  2 
4 
5 

262 
354 
436 

—  0.94 
3.01 
4.86 

4 
4 
3 

215 
197 
173 

0 
100 

—0.334 
0.525 

—9.00 

8.85 

—0.577  +8.46 
0.395!    8.68 

July  9 

7.90 

+0.398 

7 

507 

6.45 

2 

144 

200 
300 

0.712     8.63 
0.893     8.33 

0209J    8.82 
-0.022     8.89 

200,          19 

17.87 

0.935 

8 

565 

7.73 

+  1 

113 

400 

1.065     7.96 

+0.165 

8.89 

29 

27.84 

1.525 

8 

612 

8.69 

79 

Aug.  8 

6.82 

2.155 

9 

646 

9.30 

2 

43 

1869. 

1877. 

18 
28 

16.79 
26.76 

2.812 
3.486 

9 

9 

667 
678 

9.55 
9.45 

3 
5 

—    7 
+  28 

0 

100 

—1.007 
1.173 

—8.10 
7.68 

+0.102 
0.289 

+8.90 
8.85 

Sept.  7 
17 
27 

5.73 
15.71 
25.68 

4.164 

4.835 
5.490 

8 
7 
6 

676 
665 
643 

8.99 
8.19 
7.06 

6 

8 
9 

63 
97 
129 

200 
300 
400 

1.329 
1.472 
1.602 

7.20 
6.65 
6.06 

0.474 
0.655 
0.832 

8.73 
8.54 
8.27 

Oct.   7 

5.65 

6118 

4 

611 

5.61 

11 

160 

187O. 

1878. 

17 

15.62 

6.709 

2 

570 

3.87 

12 

187 

0 

—1.560 

—6.26 

+0.773 

+8.36 

300,          27 

25.60 

7.254 

—  1 

517 

-  1.87 

13 

212 

100 

1.681 

5.63 

0.945 

8.06 

Nov.  6 

4.57 

7.740 

+  2 

453 

+  0.36 

14 

233 

200 

1.787 

4.95 

1.110 

7.68 

16 

14.54 

8.157 

4       380 

2.77 

15 

249 

300 

1.877 

4.23 

1.266 

7.23 

26 

24.52 

8496 

7       296 

5.32 

15 

259 

400 

1.951 

3.47 

1.411 

6.74 

Dec.  6 

4.49 

8.747 

10 

204 

7.94 

16 

263 

1871. 

1879. 

16 
26 
36 

14.46 
24.43 
34.41 

8.901 
8.954 
+8.905 

12 
15 

+16 

104 
+    2 
—101 

10.56 
13.11 
+15.50 

16 
15 
—15 

260 
249 
+229 

C 
100 
20t 

—1.928 
1.991 
2.037 

—3.73 
2.95 
2.15 

+1.363 
1.502 
1.628 

+6.90 
6.36 
5.76 

300 

2.065 

1.34 

1.741 

5.11 

400 

2.076 

0.52 

L839 

4.42 

1872  B. 

1880  B. 

^c  6  0,                June  2.1. 

4c  6  Mean  Sun,     June  1  5. 

0 

—2.074 

—0.80 

+1.808+4.66 

4c  8  Mean  Sun,    Dec.  1.1. 

IOC 
200 

2.074 
2.C55 

+0.03 
0.83 

1.896 

1.969 

3.94  i 
3.18 

300 

2.020 

1.67 

2.025 

2.40 

400  —  1.968+2.47 

+2.004 

+  1.59 

116 


SPECIAL  TABLES. 


TABLE  XXIV.-  1  Aurigae. 

h    m                                                  °      ' 

E.A.  4  48.5.                       Dec.  -h  32  57. 

Upper  transit  at  fictitious  meridian. 

AQa 

' 

AQ<5 

Side- 
real 

A^a 

A        <, 

A^a 

<v 

. 

• 

Day. 

n 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

B                    " 

1878. 

0 

4-0.903 

—5.85 

—1.220 

4-2.43 

100 

0.805 

6.47 

1.164 

3.21 

8 

// 

200 

0.701 

7.04 

1.099 

3.97 

0,Jan.    0 

—  0.58 

4-1.483 

4-  2 

4-  16 

4-  3.37 

-  3 

4-  69 

300 

0.590 

7.55 

1.024 

4.68 

10 

4-  9.39 

1.474 

3 

—  34 

4.03 

3 

61 

400 

0,473 

7.99 

0.942 

5.36 

20 

19.37 

1.416 

3 

82 

4.59 

2 

50 

30 

29.34 

1.311 

4 

125 

5.03 

2 

37 

1866. 

1874. 

Feb.    9 

8.31 

1.168 

4 

161 

5.32 

1 

21 

0 

-f-0.513 

—7.85 

—0.9704-5.14 

19 
Mar.   1 
11 
21 

18.28 
0.26 
10.23 
20.20 

0.992 
0.796 
0.594 
0.394 

4 
4 
5 
5 

188 
201 
204 
195 

5.44 
5.39 
5.15 
4.76 

1 
-  1 

0 
0 

32 

47 

100 
200 
300 
400 

0.394 
0.271 
0.146 
0.019 

8.25 
8.57 
8.83 
9.00 

0.883 
0.788 
0.687 
0.580 

5.78 
6.38 
6.92 
7.41 

31 

30.18 

0.208 

4 

173 

4.22 

+  1 

60 

1867. 

1875. 

100,  Apr.  10 
20 

9.15 
19.12 

4-0.051 
—0.072 

3 
2 

141 

100 

3.56 
2.83 

1 

1 

70 
75 

0 

100 

4-0.062 
—0.065 

—8.95 
9.07 

—0.616 
0.506 

4-7.25 

7.70 

30 

29.09 

0.148 

2 

52 

2.06 

2 

77 

200 

0  191 

9.11 

0.393 

8.08 

May  10 

9.07 

0.175 

1 

—     1 

1.30 

2 

74 

300 

0.315 

9.08 

0.276 

8.39 

20 

19.04 

0.150 

H-  i 

4-52 

4-  0.59 

2 

67 

400 

0.436 

8.96 

0.156 

8.64 

30 

29.01 

—0.072 

0 

104 

—  0.04 

1 

58 

1868  B. 

1876  B. 

June  9 
19 

7.98 
17.96 

4-0.056 
0.234 

—  i 
i 

154 

200 

0.56 
0.95 

0 

46 
31 

0 

—0.396 

—9.01 

—0.197 

4-8.56 

29 

27.93 

0.454 

2 

240 

1.18 

—  1 

—  15 

100 

0.515 

8.84 

—0.077 

8.76 

July  9 

7.90 

0.712 

2 

275 

1.26 

1 

0 

200 
300 

0.629 
0737 

8.60 

8.28 

4-0.044 
0.165 

8.89 
8.94 

200,          19 

17.88 

1.001 

2 

302 

1.18 

2 

4-  14 

400 

0.839 

7.89 

0.284 

8.92 

29 

27.85 

1.314 

2 

323 

0.98 

2 

27 

Aug.  8 

6.82 

1.645 

3 

339 

0.64' 

2 

40 

1869. 

1877. 

18 

28 

16.79 

26.77 

1.989 
2.339 

3 
3 

348 
351 

—  0.18 
4-  0.36 

3 
3 

50 

57 

0 
100 

—0.806 
0.903 

—8.02 
7.59 

4-0.245 
0.362 

4-8.94 

8.87 

Sept.  7 
17 
27 

5.74 
15.71 
25.68 

2.689 
3.035 
3.372 

3 
3 

2 

349 
342 
333 

0.96 
1.62 
2.31 

4 

5 
6 

63 

68 
70 

200 
300 
400 

0.9P2 
1.072 
1.142 

7.09 
6.52 
5.91 

0.477 
0.589 
0.696 

8.72 
8.51 
8.22 

Oct.    7 

5.66 

3.700 

2 

320 

3.02 

6 

72 

1870. 

1878. 

17 

15.63 

4.010 

—  1 

301 

3.74 

6 

73 

0 

—1.120 

—6.12 

4-0.660 

4-8.33 

300,          27 

25.60 

4.300 

0 

279 

4.48 

7 

75 

100 

1.184 

5.47 

0.763 

7.99 

Nov.  6 

4.57 

4.567 

0 

252 

5.24 

7 

77 

200 

1.237 

4.78 

0.860 

7.59 

16 

14.55 

4.803 

0 

220 

6.00 

8 

77 

300 

1.280 

4.04 

0.950 

7.13 

26 

24.52 

5.00(5 

+  1 

184 

6.78 

8 

78 

400 

1.312 

3.27 

1.033 

6.61 

Dec.   6 

4.49 

5.1t9 

2 

142 

7.56 

8 

78 

1871. 

1879. 

16 
26 
36 

14.47 
24.44 
34.41 

5.289 
5.361 

4-5.382 

3 
4 

4-  4 

97 
4-  47 

8.33 
9.07 
4-  9.77 

8 
8 

—  8 

76 

72 
4-  66 

0 
100 
200 

—1.302—3.53 
1.327     2.75 
1.340     1.94 

4-1.006 
1.083 
1.151 

4-6.79 
6.23 
5.  (52 

300 

1.341     1.12 

120 

4  95 

400 

1.332J    0.30 

1.259 

4.25 

1872  B. 

1880  B. 

*  6  0,                 June  3.9. 

5fc  6  Mean  Sun,    June  3.4. 

0 

—1.336 

—0.57 

4-1.244 

4--I.49 

100 

1.319 

4-0.26 

1.285 

3.76 

200 

1.290 

1.08 

1.317 

2.99 

300 

1.451 

1.89 

1.337 

2.20 

400—1.202 

4-2.69 

4-1.345 

1 

4-1.38 

SPECIAL  TABLES. 


117 


TABLE  XXIV.—  11  Orionis. 

h    m                                                   °      ' 

E.A.  4  57.1.                       Dec.  +  15  13. 

Upper  transit  at  fictitious  meridian. 

i 

'.Side- 

A^a 

A0<J                   1  real 

AQa 

A£i^ 

AQa 

AQ^ 

pay. 

Siucrcul  Duy. 

uCtin  Dsy. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for! 
10  d. 

1865. 

8                      " 

1 
1873. 

8                    " 

0  4-0.743—6.08 

—1.042 

4-2.69 

100 

0.654 

0.988 

3.47 

8 

// 

200 

0.559 

7.24 

0.926 

4.22 

0,  Jan.   0 

—  0.57 

4-1.311 

4-2  4-21 

4-  0.45 

—  1 

—  32 

300 

0.459 

7.73 

0.856 

4.92 

10 

4-  9.40 

1.309 

2—23 

-j-  0.14 

1 

29 

400 

0.355! 

8.16 

0.780 

5.59 

23 

19.37 

1.267 

2        63 

—  0.14 

1 

27 

30 

29.35 

1.184 

3 

102 

0.40 

1 

24 

• 

186«. 

1874. 

Feb.    9 

8.32 

1.065 

3 

134 

0.63 

1 

22 

0 

4-0.390—8.02 

—0.8074-5.37 

19 
Mar.    1 
11 
21 

13*.29 
0.26 
10.24 
20.21 

0.919 
0.751 
0.575 
0.400 

4 
4 
4 
3 

159 
174 
177 
171 

0.84 
1.04 
1.22 
1.39 

0 
0 
0 
0 

20  1 
19  i 
18 
15 

100 
200 
300 
400 

0.284 

0.175 

4-0.065 
—  O.U46 

8.40 
8.70 
8.93 
9.08 

0.726     6.01 
0.639     6.59 
0.548     7.12 
0.452     7.59 

31 

30.18 

0.237 

3 

154 

1.52 

0 

11 

1867. 

1875. 

100,  Apr.  10 
20 

9.15 
19.13 

4-0.096 
-0.015 

3 

2 

127 
92 

1.60 
1.63 

0 
0 

—    6 
+  *  1 

0 
100 

—0.008 
0.119 

—9.04 
9.14 

—  0.485'4-7.44 
0.386'    7.86 

30 

29.10 

0.090 

2 

54 

1.57 

0 

11 

200 

0.229 

9.16 

0.285     8.23 

May  10 

9.07 

0.121 

1 

-    9 

1.41 

0 

21 

300 

0.336 

9.09 

0.181 

8.53 

20 

19.05 

0.107 

+  ! 

4-  36 

1.14 

0 

32 

400 

0.441 

8.95 

0.076 

8.74 

30 

2^.02 

-0.048 

0 

82 

0.76 

0 

44 

1868  B. 

1876  B. 

June  9 
19 
29 

7.99 
17.96 
27.94 

4-0.057 
0.204 
0.389 

0 
—  1 

1 

127 

167 

203 

—  0.26 
4-  0.37 
1.08 

1 
1 

57 
67 
76 

0 
100 

—0.406 
0.508 

—9.01 

8.82 

—0.112 
—0.006 

4-8.68 

8.85 

July  9 

7.91 

0609 

1 

234 

1.89 

1 

84 

200 
300 

0.6U5 
0.697 

8.55 

8.20 

4-0.100 

0.205 

8.96 
899 

200,          19 

17.88 

0.855 

2 

259 

2.75 

2 

88 

400 

0.783 

7.79 

0.308 

8.94 

29 

27.85 

1.125 

2 

279 

3.65 

2 

89 

Aug.  8 

6.83 

1.411 

2 

292 

4.52 

3 

85 

186V. 

1877. 

18 
28 

16.80 
26.77 

1.708 
2.012 

2 
3 

301 

305 

5.35 
6.11 

3 
4 

80 
71 

0 
100 

—0.755 
0.836 

—7.93 
7.47 

4-0.273 
0.375 

4-8.97 
8.87 

27 

5.74 
15.72 
25.69 

2.317 
2.621 

2.918 

3 
3 
2 

305 
301 
293 

6.76 

7.28 
7.67 

4 
4 
4 

59 
46 
31 

200 
300 
400 

0.910 
0.975 
1.032 

6.95 
6.37 
5.74 

0.474 
0.568 
0.660 

8.70 
8.46 
8.15 

Oct.    7 

5.66 

3.206 

2 

282 

7.89 

5 

15 

1870. 

1878. 

17 

15.64 

3.480 

2 

267 

7.97 

5 

+    1 

0 

—1.014 

—5.95 

4-0.630'4-8.27 

;  300,          27 

25.61 

3.739 

2 

249 

7.92 

5 

—  12 

100 

1.065 

5.28 

0.7171    7.91 

Nov.  6 

4.58 

3.977 

—  1 

226 

7.75 

5 

23 

200 

1.106 

4.57 

0.799     7.49 

16 

14.55 

4.190 

0 

200 

7.47 

5 

30 

300 

1.139 

3.82 

0.874     7.01 

26 

24.53 

4.375 

+  1 

169 

7.16 

6 

33 

400 

1.161 

3.04 

0.942|    6.46 

Dec.   6 

4.50 

4.526 

1 

133 

6.81 

6 

36 

1871. 

1879. 

16 
26 
36 

14.47 
24.44 
34.42 

4.640 
4.711 
4-4.739 

2 
2 
4-  3 

93 
50 
+    7 

6.44 
6.08 
4-  5.74 

6 
6 
—  6 

37 
35 
—  32 

0 
100 
200 

—1.154;—  3.31 
1.170     2.51 
1.1761     1.69 

4-0.  9>3 
0.983 
1.037 

4-6.65 
6.07 
5.44 

300 

1.171     0.87 

1.064 

4.76 

400 

1.157  j    0.03 

1.121 

4.03 

1872  B. 

1880  B. 

^  6  0,                June  6.0. 

jjc  c5  Mean  Sun,     June  5.5. 

0 
100 

—1.1631—0.31 
1.  U2  4-0.52 

4-1.110 

1.141 

4-4.28 
3.54 

200 

1.112 

1.35 

1.  163 

2.76  • 

300 

1.07;] 

2.16 

1.  17.51     1.95 

400—1.024 

4-2.95  4-l.177-fl.13 

118 


SPECIAL  TABLES. 


TABLE  XXIV.-*  W  Camelopardalis  (B);  Groombridge  966. 

h    m                                                     °      ' 

E.A.  5  22.4.                       Dec.  +  74  57. 

Upper  transit  at  fictitious  meridian. 

A0a 

AQ/ 

' 

Side- 
real 

A^a 

A    d 

Aaa 

*ai 

Sidcrcfll  DBV 

eanDa 

Day. 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                  " 

1873. 

8                  " 

0 

+1.951 

-6,69 

—2.553 

+3.44 

100 

1.758 

7.25 

2.449 

4.20 

8 

// 

200 

1.550 

7.76 

2.323 

4.92 

0,Jan.    0 

—  0.55 

+  5.055 

+12 

—     1 

+  5.26 

—11 

+2R6 

300 

1.328 

8.19 

2.179 

5.60 

10 

+  9.42 

4.971 

17 

167 

8.03 

11 

267 

400 

1.093 

8.56 

2.017 

6.23 

20 

19.39 

4.724 

21 

325 

10.58 

10 

241 

30 

29.36 

4.327 

25 

467 

12.83 

9 

206 

1866. 

1874. 

Feb.   9 

8.34 

3.798 

28 

587 

14.67 

7 

162 

0 

+1.174 

—8.45 

—2.074 

+6.02 

19 
Mar.   1 
11 
21 

18.31 

0.28 
10.25 
20.23 

3.163 
2.453 
1.703 
0.949 

30 
30 
31 

29 

677 

736 
758 
745 

16.05 
16.92 
17.25 

17.02 

6 
4 
2 
—  1 

113 

60 
+    5 
—  49 

100 
200 
300 
400 

0.933 
0.683 
0.428 
0.169 

8.76 
9.00 
9.16 
9.25 

1901 
1.713 
1.511 
1.297 

6.62 
7.16 

7.64 
8.05 

:  si 

30.20 

+  0.224 

28 

698 

16.27 

+  1 

101 

1867. 

1875. 

100,  Apr.  10 
20 

9.17 
19.15 

—  0.436 

1.004 

25 
22 

619 
513 

15.03 
13.35 

3 
4 

147 
187 

0 
100 

+0.256 
—0.004 

—9.23 
9.25 

—1.370 
1.149 

+7.92 

8.29 

30 

29.12 

1.455 

18 

385 

11.30 

5 

220 

200 

0.264 

9.20 

0.918 

8.59 

May  10 

9.09 

1.770 

14 

242 

8.98 

6 

244 

300 

0.522 

9.07 

0.680 

8.82 

20 

19.06 

1.937 

10 

—  90 

6.46 

6 

259 

400 

0.775 

8.85 

0.437 

8.98 

30 

29.04 

1.949 

5 

+  65 

3.83 

7 

266 

1868  B. 

IS76  B. 

June  9 

8.01 

1.807 

+  1 

219 

+  1.18 

6 

264 

19 

17.98 

1.513 

—  4 

367 

—  1.42 

6 

205 

0 

—0.690 

—8.94 

—0.520  +8.94 

29 

27.95 

1.076 

8 

505 

3.89 

5 

238 

100 

0.939 

8.67 

0.274     9.05 

July  9 

7.93 

—  0.508 

12 

630 

6.17 

4 

216 

200 

1.179 

8.33 

—0.025     9.08 

300 

1.408 

7.92 

+0.224     904 

200,          19 

17.89 

+  0.178 

15 

739 

8.20 

3 

188 

400 

1.624 

7.44 

0.470i    8.93 

29 

27.87 

0.966 

18 

833 

9.92 

+  1 

157 

Aug.  8 

6.84 

1.838 

20 

909 

11.33 

—  1 

123 

1869. 

1877. 

18 
28 

16.82 
26.79 

2.778 
3.768 

21 

22 

968 
1008 

12.37 
13.03 

3 
5 

86 

47 

0 
100 

—1.552!—  7.61 
1.7591    7.09 

+0.387 
0.632 

+8.97 

8.8! 

Sept.  7 
17 
27 

5.76 
15.74 
25.71 

4.789 
5.826 
6.861 

22 

21 
20 

1032 
1039 
1027 

13.30 
13.17 
12.64 

7 
9 
11 

—    7 
+  33 
73 

200 
30C 
400 

1.950!     6.50 
2.124     5.86 
2.278|    5.18 

0.872 
1.105 
1.330 

8.57 
8.26 
7.89 

Oct.    7 

5.68 

7.874 

18 

997 

11.72 

13 

112 

1870. 

1878. 

17 

15.65 

8.849 

15 

950 

10.41 

15 

150 

0 

—2.228 

—5.41 

+1.256 

+8.02 

300,         27 

25.63 

9.767 

12 

883 

8.73 

17 

185 

100 

2.370 

4.69 

1.473 

7.60 

Nov.  6 

4.60 

10.608 

8 

796 

6.72 

19 

217 

200 

2.490 

3.94 

1.679 

7.11 

16 

14.57 

11.352 

4 

690 

4.40 

20 

245 

300 

2.589 

3.15 

1.872 

6.57 

26 

24.54 

11.981 

+  1 

565 

—  1.83 

21 

268 

400 

2.666 

2.34 

2.049 

5.96 

Dee.  6 

4.52 

12.477 

6 

423 

+  0.93 

22 

283 

1871. 

1879. 

16 
26 
36 

14.49 
24.46 
34.44 

12.823 
13.0K 
+13.030 

11 
16 

+22 

268 
+104 
-63 

3.81 
6.73 

+  9.58 

23 
23 
-23 

291 

290 
+279 

0 
100 
200 

—2.643 
2.704 
2.742 

—2.62 
1.79 
0.95 

+1.991 
2.157 

2.306 

+6.17 
5.54 

4.85 

i 

300 

2.756 

0.11 

2.43b 

4.12 

400 

2.747 

+0.74 

2.540 

3.36 

1872  B. 

1880  B. 

•X-  d  0,                 June  12.1. 

#  6  Mean  Sun,     June  12.0. 

0 

—2.753 

+0.4f 

+2.512+3.62 

>j<  8  Mean  Sun,    Dec.  11.6. 

100 

2.728 

1.29 

2.607     2.84 

200 

2.681 

2.12 

2.682     2  03 

1  30f 

2.612 

2.92 

2.733      1.20 

;  400 

—2.521 

+3.70 

+2.762+0.35 

SPECIAL  TABLES. 


119 


TABLE  XXIV.-c?  Orients. 

h    m                                                    o      / 

R.A.  5  25.4.                      Dec.  —    0  24. 

Upper  transit  at  fictitious  meridian. 

A    a 

A0<> 

Side- 
real 

AQa 

AQ<5 

A^a 

Aoil  J 

. 

Day. 

Siucrc&l  Dsy. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for1 
10  d. 

1865. 

3 

1873. 

8                     " 

0 

+0.632 

—6.77 

—0.913  +3.53 

100 

0.550 

7.33 

0.861 

4.28 

s 

// 

200 

0.4H3 

7.82 

0.803 

5.00 

0,Jan.    0 

—  0.55 

+1.319 

+   1 

+  38 

—  1.87 

0 

—128 

300 

0.372 

8.25 

0138 

5.67 

10 

+  9.42 

1.336 

1 

—    5 

3.10 

0 

115 

400 

0.-278 

8.61 

0.667 

6.30 

20 

19.39 

1.309 

2 

48 

4.17 

—  1 

100 

30 

29.37 

1.240 

2 

88 

5.10 

1 

84 

1866. 

1874. 

Feb.   9 

8.34 

1.134 

2 

122 

5.85 

1 

67 

0 

+0.310 

—850 

—0.691 

+6.09 

19 
Mar.  1 
11 
21 

18.31 

0.28 
10.26 
20.23 

0.997 
0.837 
0.663 
0.486 

2 
3 
3 
3 

150 
169 
177 
176 

6.43 
6.83 

7.02 
7.04 

0 
0 
0 
0 

49 
30 
—  11 
+    5 

100 
200 
300 
400 

0.214 
0.116 
+0.01? 
—0.082 

8.81 
9.04 
9.19 
9.26 

0.617 
0.538 
0.454 
0.367 

0.68 
7.21 
7.69 
8.10 

31 

30.20 

0.315 

3 

164 

6.91 

1 

23 

1867. 

1875. 

100,  Apr.  10 
20 
30 

9.17 
19.15 
29.12 

0.161 
+0.032 
—0.066 

3 
2 
2 

143 
115 

79 

6.57 
6.06 
5.36 

1 
1 
1 

43 
61 

79 

0 
100 
200 

-0.049 
0.148 
0.245 

-9.24 
9.26 
9.20 

—0.396+7.97 
0.3071     8.33 
0.215     8.63 

Mav  10 

9.09 

0.125 

1 

—  39 

4.49 

2 

95 

300 

0.340 

9.06 

0.1221     8.85 

*  20 

19.06 

0.143 

.    1 

+    3 

3.47 

2 

110 

400 

0.433 

8.84 

0.028[    9.00 

30 

29.04 

0.119 

1 

46 

2.29 

2 

125 

1868  B. 

1876  B. 

June  9 

8.01 

—0.052 

i    i 

87 

—  0.98 

2 

137 

19 

17.98 

+0.055 

o 

126 

+  0.45 

2 

146 

0 

—0.402—8.92 

—0.0601+8.96 

29 

27.96 

0.200 

0 

163 

1.93 

2 

150 

100 

0.492J    8.65 

+0.035 

9.06 

July  9 

7.93 

0.381 

—  1 

196 

3.45 

2 

151 

200 

0.5771    8.30 

0.130 

9.09 

300 

0.65?|    7.8fc 

0.223 

9.04 

200,          19 

17.90 

0.591 

1 

224 

4.95 

3 

149 

400 

0.731|    7.39 

0.315 

8.92 

29 

27.87 

0.827 

1 

246 

6.39 

3 

138 

Aug.  8 

6.85 

1.081 

1 

263 

7.70 

3 

123 

1869. 

1877. 

18 
28 

16.82 
26.79 

1.351 
1.632 

2 
2 

276 

284 

8.84 
9.79 

3 
3 

105 

82 

0 
100 

—0.707 
0.777 

—7.56 
7.03 

+0.284 
0.374 

+8.97 
8.80 

Sept.  7 
17 

27 

5.76 
15.74 
25.71 

1.918 

2.208 
2.495 

3 
3 
3 

289 
289 

285 

10.47 
10.87 
10.99 

3 
3 
3 

54 

+  26 

200 
300 

400 

0.840 
0.895 
0.943 

6.44 
5J( 

0.461 
0.544 
0.623 

8.55 
8.24 

7.85 

Oct.    7 

5.68 

2.777 

3 

279 

10.79 

3        34 

1S7O. 

1878. 

17 

15.66 

3.051 

2 

268 

10.31 

4         62 

0 

—0  928 

—5.34 

+0.597 

+7.G9 

300,          27 

25.63 

3.311 

2 

253 

9.56 

4        87 

100 

0.970 

4.6v 

0.673 

7.56 

Nov.  6 

4.60 

3.555 

1 

2:54 

8.58 

4 

109 

200 

1.004 

3.8b 

0.743 

7.07 

16 

14.57 

3.777 

1 

209 

7.40 

4 

125 

300 

1.029 

3.07 

0.808 

6.52 

26 

24.55 

3.972 

—  1 

180 

6.09 

4 

135 

400 

1.045 

2.2:* 

0.866 

5.91 

Dec,  6 

4.52 

4.135 

0 

146 

4.72 

4 

140 

1871. 

1879. 

16 
26 
36 

14.49 
24.46 
34.44 

4.263 
4350 
+4.394 

0 

ti 

108 
66 

+  22 

3.31 
1.94 
+  0.66 

4 
4 
—  4 

140 
133 
—123 

0 
100 
200 

—1.0401—2.53 
1.050J     1.70 
1.052     0.86 

+0.847+6.13 
0  900     5.49 
0.946     4.80 

!                                                                                                           '•                    1 

30(J 
400 

1.044—0.02 
1.0281+0.88 

0.984     4  07 
1.014     3.30 

1 

1872  B. 

1880  B. 

*  6  0,                 June  12  8. 

5JC  6  Mean  Sun,    June  12.7. 

( 

—1.034 

+0.54 

+1.005 

+3.56 

100 

1.012 

1.38 

1.029 

2.78 

1 

200 

0.981 

2.20 

1.045 

1.96 

300 
400 

0.943     3.00 
-0.890H-3.7ti 

1.052 
+1.050 

1.13 

+0.29 

!                   '                             i 

120 


SPECIAL  TABLES. 


TABLE  XXIV.-a  Leporis. 

h    m                                                    o      / 

R.A.  5  27.0.                        Dec.  —  17  55. 

Upper  transit  at  fictitious  meridian. 

A    a 

A.  6 

' 

Side- 
real 

AQa 

4ft* 

AQ<5 

Day. 

0 

0 

Sidereal  Day 

10311  Dfl  V 

1870. 

Var.  io 
10  y. 

Diff.  for 
]0d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                    " 

1873. 

8                         " 

0 

+0.523 

-6.81 

—0775 

+3.57 

100 

0.450 

7.36 

0.728 

4.32 

s 

n 

200 

0.374 

7.85 

0.676 

5.04 

0,Jan.    0 

-  0.55 

+1.383 

+  1 

+  22 

—  3.60 

+  1 

—216 

300 

0.295 

8.28 

0.618 

5.71 

10 

+  9.42 

1.383 

1 

-  23 

5.67 

1 

197 

400 

0.212 

8.63 

0.555 

6.33 

20 

19.39 

1.337 

1 

67 

7.52 

+  1 

173 

30 

29.37 

1.250 

2 

108 

9.12 

0 

145 

1866. 

1874. 

Feb.    9 

8.34 

1.122 

2 

143 

10.41 

0 

113 

0 

+0.240 

—8.52 

—0.577 

+6.13 

19 
Mar.    1 
11 

18.31 

0.28 
10.26 

0.966 
0.786 
0.591 

2 
2 

2 

169 

189 
197 

11.38 
12.03 
12.31 

0 
0 

81 
46 
—  12 

100 
200 
300 

0.157 
+0.072 
—0.014 

8.82 
9.05 
9.20 

0.511 
0.441 

0.367 

6.72 
7.25 
7.72 

21 

20.23 

0'.395 

2 

195 

12.26 

1 

+  21 

400 

0.100 

9.26 

0:291  1     8.12 

31 

30.20 

0.204 

2 

183 

11.89 

1 

54 

1867. 

1875.* 

100,  Apr.  10 
20 

9.17 
19.15 

+0.031 
-0.119 

2 
2 

162 
134 

11.18 

10.17 

2 
2 

86 
116 

0 
100 

—0.071 
0.156 

-9.25 
9.26 

—0.317 

0.239 

+7.99 
8.35 

30 
May  10 
20 

29  12 

9.09 
19.07 

0.236 
0.315 
0.353 

2 
2 
1 

99 

58 
—  17 

8.86 
7.29 
5.48 

2 
2 
3 

144 
169 
192 

200 
300 
400 

0.240 
0.321 
0.400 

9.20 
9.05 

8.82 

0.159 

—0.078 
+0.004 

8.64 
8.86 
9.01 

30 

29.04 

0.348 

+  1 

+  26 

3.46 

3 

211 

1868  B. 

1876  B. 

June  9 

8.01 

0.301 

0 

70 

—  1.28 

3 

224 

19 

17.98 

0.208 

0 

112 

+  1.01 

3 

232 

0 

—0.373 

—8.91 

—0.024 

+8.97 

29 

27.96 

—0.077 

0 

150 

3.35 

3 

234 

100 

0.450 

8.63 

+0.058 

9.07 

July   9 

7.93 

+0.092 

—  1 

185 

5.67 

3 

229 

200 

0.522 

8.28 

0.139 

9.09 

300 

0.590 

7.  80 

0.219 

9.04 

200,          19 

17.90 

0.292 

1 

215 

7.91 

3 

218 

400 

0.652 

7.36 

0.298 

8.91 

29 

27.87 

0.521 

1 

240 

10.01 

3 

200 

Aug.  8 

6.85 

0.770 

1 

260 

11.90 

3 

174 

1869. 

1877. 

18 
28 

16.82 
26.79 

1.040 
1.320 

2 

2 

276 
286 

13.49 
14.76 

3 
3 

144 

108 

0 
100 

-0.632 
0.690 

—7.53 

7.00 

+0.272 
0.348 

+8.96 
8.79 

Sept.  7 
17 
27 

5.77 
15.74 
25.71 

1.611 

1.904 
2196 

2 
2 

2 

293 
293 

290 

15.63 
16.06 
16.05 

3 
2 
2 

65 
+  21 
—  24 

200 
300 
400 

0.742 

0.788 
0.827 

6.4-1 
5.76 
5.06 

0.423 
0.493 
0.560 

8.54 
8.22 
7.83 

Oct.    7 

5.68 

2.482 

2 

282 

15.58 

2 

68 

1870. 

1878. 

17 

15.66 

2.758 

2 

270 

14.69 

2 

111 

0 

—0.815 

—5.30 

+0.538 

+7.97 

300,          27 

25.63 

3.020 

2 

253 

13.37 

2 

150 

100 

0.849 

4.58 

0.602 

7.54 

Nov.   6 

4.60 

3.262 

2 

230 

11.71 

2 

182 

200 

0.876 

3.82 

0.661 

7.05 

16 

14.57 

3.478 

1 

203 

9.76 

2 

207 

300 

0.895 

3^02 

0.715 

6.49 

26 

24.55 

3.667 

I 

172 

7.60 

2 

224 

400 

0.906 

2.21 

0-.763J    5.88 

Dec.    6 

4.52 

3.820 

—  1 

135 

5.31 

2 

232 

1871. 

1879. 

16 
26 
36 

14.49 
24.47 
34.44 

3.935 
4.007 
+4.035 

0 
0 

-f-  1 

94 

50 
+    5 

2.98 
+  0:69 
—  1.49 

2 
2 
—  2 

233 

225 
—210 

0 
100 
200 

—0.903 
0.909 
0.908 

—2.48 
1.66 

—0.82 

+0.748+6.09 
0.792     5.45 
0.829     4.76 

oriA 

0  HOC] 

4-0  0* 

0  ftfiO      4  0'\ 

400 

U.Ov/cJ 

0.882 

—  f—  U.Ut 

0.87 

U.CuUI        *±.UO 

0.883;     3.26 

, 

1872  B. 

1880  B. 

^  6  ©»                  June  13.2. 

^c  <3  Mean  Sun,     June  13.1. 

0 

—0.888 

+0.59 

+0.876 

+3.52 

100 

0.867 

1.43 

0.894 

2.73 

20U 

0.838 

2.25 

0.90fi 

'  1.92 

300 

0.80^ 

3.05 

0.9oL 

1.09 

400 

—0.759  +3.8: 

+0.905 

+0.24 

SPECIAL  TABLES. 


121 


TABLE  XXIV.—  e  Orients. 

h    m                                                    °      ' 

R.A.  5  2^.6.                       Dec.  —    1  17. 

Upper  transit  at  fictitious  meridian. 

Sidereal  D&v 

Vloan  Dfiy. 

A0a 

^ 

Side- 
real 
Day. 

*a- 

Ar^d 

** 

*•: 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

187O. 

Var.  in 
10  y. 

Diff  for 
10  d. 

1865. 

8                    " 

1873. 

8                     " 

0 

+0.626 

—6.86 

—0.906 

+3.65 

100 

0.545 

7.41 

0.855 

4.40 

8 

// 

200 

0.459 

7.90 

0.797 

5.11 

0,  Jan.   0  —  0.55 

+1.327 

+  1 

+  42 

-  1.97 

0 

-^133 

300 

0.368     8.32 

0.732 

5.78 

10    +  9.42 

1.347 

1 

-    3 

3.24 

0 

121 

400 

0.275     8.67 

0.662 

6.39 

20  i     19.39 

1.322 

2 

46 

4.38 

0 

106 

30  i    29.37 

1.256 

2 

86 

5.36 

0 

89 

1866. 

1874. 

Feb.  9 

8.34 

1.151 

2 

120 

6.15 

0 

70 

0 

+0.306 

—8.56 

-0.686+6.19 

19 
Mar.  1 
11 
21 

18.31 

0.29 
10.26 
20.23 

1.015 
0.855 
0.632 
0.504 

3 
3 
3 
3 

149 
168 
177 
177 

6.75 
7.17 
7.39 
7.41 

0 

—  1 
1 

51 
32 
—  12 

+    6 

100 
200 
300 
400 

0.211 
0.114 

+0.015 
—0.083 

8.85 
9.07 
9.21 
9.27 

0.612 
0.533 
0.450 
0.363 

6.77 
7.30 
7.76 
8.16 

31 

30.20 

0.331 

3 

166 

7.27 

24 

1S67. 

1875. 

100,  Apr  10 
20 

9.18 
19.15 

0.175 
+0.044 

2 
2 

145 
116 

6.92 
6.39 

44 

62 

0 
100 

_0.0501—  9.26 
0.148     9.27 

—0.393 
0.304 

+8.03 
8.39 

30 

29.12 

—0.056 

2 

82 

5.63 

81 

200 

0.245     9.19 

0.213 

8.67 

May  10 

9.09 

0.119 

1 

43 

4.78 

2 

98 

300 

0.3391     9.04 

0.120 

8.89 

2V 

19.09 

0,142 

+  1 

—    2 

3.71 

2 

114 

400 

0.431*1    8.81 

0.026 

9.03 

30 

29.04 

0.123 

0 

+  41 

2.49 

o 

129 

1868  B. 

1876  B. 

June  9 
19 
29 

July  9 

8.01 
17.99 
27.96 
7.93 

—0.060 
+0.043 
0.185 
0.360 

0 
0 

—  1 
1 

83 
123 
159 
191 

—  1.14 

+  0.32 
1.83 

3.38 

2 
2 
2 
2 

141 
149 
154 
154 

0 
100 
200 

300 

—0.399 
0.489 
0.574 
0.653 

—8.89 
8.61 

8.25 
7.82 

—  0.058J+8.99 
+0.036     9.08 
0.130     9.10 
0.223     9.04 

200,          19 

17.90 

0.566 

2 

220 

4.90 

2 

150 

400 

0.727 

7.32 

0.313     8.90 

29 

27.87 

0.798 

2 

242 

6.36 

3 

141 

Aug.  8 

6.85 

1.049 

2 

260 

7.70 

3 

126 

1869. 

1877. 

18 
28 

16.82 
26.79 

1.316 
1.594 

2 
2 

273 
283 

8.87 
9.82 

3 
3 

107 

83 

0 
100 

—0.703 
0.772 

-7^9 
$95 

+0.283 
0.372 

+8.96 

8,77 

Sept.  7 
17 

27 

5.77 
15.74 
25.71 

1.830 
2.169 
2.455 

3 
3 
3 

288 
288 
286 

10.52 
10.93 
11.02 

3 
3 
3 

56 

±1 

200 
300 
400 

0.835 
0.890 
0.937 

6.35 
5.70 
5.00 

0.459 
0.541 
0.620 

8.52 
8.19 

7.80 

Oct.    7 

5.69 

2.739 

3 

280 

10.81 

3 

36 

1870. 

1878. 

17 

15.66 

3.013 

2 

270 

10.30 

4 

65 

0 

-0.922 

-5.24 

+0.594+7.94 

300,          27 

25.63 

3.277 

2 

256 

951 

4 

92 

100 

0.964 

4.51 

0.669     7.50 

Nov.  6 

4.60 

3.524 

1 

236 

8.47 

4 

114 

200 

0.997 

3.75 

0.739 

7.00 

16 

14.58 

3.747 

—  1 

212 

7.24 

4 

131 

300 

1.022 

2.9r 

0.803 

6.44 

26 

24.55 

3.945 

0 

183 

5.87 

4 

141 

400 

1.038 

2.13 

0.861 

5.82 

Dec.  6 

4.52 

4.111 

0 

150 

4.43 

4 

146 

1871. 

1879. 

16 

26 
36 

14.49 
24.46 
34.44 

4243 
4.333 
+4.381 

+  1 

112 

70 
+  26 

2.96 
1.54 

+  0.18 

4 
4 
—  4 

145 

140 
-130 

0 
100 
200 

—1.0341—2.41 

1.044     158 
1.045—0.74 

+0.842 
0.895 
0.940 

+6.04 
5.39 
4.69 

300 

1.037+0.11 

0.978 

3.96 

400 

1.020     0.95 

1.008 

3.19 

1872  B. 

1880  B. 

%  6  0,                June  13.8. 
>JC  6  Mean  Sun,    June  13.8. 

0 
100 

—1.027 
1.005 

+0.67 
1.51 

+0.999'+3.45 
l.C%3|    2.66 

200 

0.974 

2.33 

1.038     1.84 

300 

0.936 

3.13 

1.045     1.01 

400—0.890+3.9i 

+  1.043+0.16 

.           i 

122 


SPECIAL  TABLES. 


TABLE  XXIY.-a  Columbie. 

h    m                                                    °      ' 

E.A.  5  34.9.                       Dec.  —  34    9. 

Upper  transit  at  fictitious  meridian. 

A~a 

AQd 

" 

Side- 
real 

A^a 

A^ 

A^a 

AQ(> 

. 

vV 

Day. 

uCtiii  JDuy. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                     " 

1873. 

8 

0 

+0.411 

—6.98 

—0.626 

+3.80 

100 

0.351 

7.52 

0.586 

4.54 

8 

// 

200 

0.287 

8.00 

0.541 

5.24 

0,  Jan.  0 

—  0.55 

+1.600 

0 

+    2 

—  4.56 

+  2 

—284 

300 

0.221 

8.40 

0.492 

5.90 

10 

+  9.43 

1.577 

+   1 

-  48 

7.29 

2 

261 

400 

0.153 

8.73 

0.439 

6.52  | 

20 

19.40 

1.504 

1 

98 

9.75 

2 

229 

30 

29.37 

1.382 

1 

144 

11.86 

1 

193 

1866. 

1874. 

Feb.   9 

8.34 

1.219 

2 

182 

13.60 

+  1 

153 

0 

+0.1761—8.63 

—0.458 

+6.31 

19 
Mar.   1 
11 
21 

18.32 
0.29 
10.26 
20.24 

1.021 
0.799 
0.560 
0.316 

2 
2 
2 
3 

211 
232 
243 
242 

14.91 
15.79 
16.20 
16.17 

0 
0 
0 
0 

110 
65 
—  19 

+  26 

100 
200 
300 
400 

0.107 
+0.037 
—0.034 
0.104 

8.91 
9.12 
9.24 
9.29 

0.4G2 
0.344 
0.282 
0.219 

6.88 
7.40 

7.85 
8.24 

31 

30.21 

+0.078 

3 

230 

15.69 

—  1 

70 

1867. 

1875. 

100,  Apr.  10 
20 

9.18 
19.15 

—0.142 
0.338 

3 
2 

209 

180 

14.79 
13.47 

1 

1 

112 
152 

0 
100 

—0.080 
0.150 

—9.28 
9.27 

—0.240 
0.176 

+8.12 

8.46 

30 

29.13 

0.500 

2 

143 

11.77 

2 

188 

200 

0.218 

9.18 

0.110 

8.73 

May  10 

9.10 

0.622 

1 

100 

9.73 

2 

219 

300 

0.285 

9.01 

-0.043 

8.93 

20 

19.07 

0.699 

+  1 

54 

7.41 

2 

246 

400 

0.349 

8.77 

+0.023 

9.06 

30 

29.04 

0.730 

0 

—    6 

4.83 

3 

269 

1868  B. 

1876  B. 

June  9 
19 
29 

8.02 
17.99 
27.96 

0.712 
0.646 
0.534 

0 
0 
0 

+  42 
89 
134 

—  2.06 
+  0.82 
3.76 

3 
3 
3 

284 
292 
293 

0 
100 

—0.327 
0.389 

—8.86 
8.56 

+0.002 
0.069 

+9.02 
9.10 

July    9 

7.93 

0.379 

—  1 

175 

6.66 

3 

285 

200 
300 

0.448 
0.502 

8.18 
7.74 

0.136 

0.201 

9.10 
9.03 

200,          19 

17.91 

-0.185 

1 

213 

9.43 

3 

268 

400 

0.552 

7.23 

0.265 

8.88 

29 
Aug.  8 

27.88 
6.85 

+0.045 
0.304 

1 

2 

246 

269 

12.01 
14.34 

3 
3 

246 
214 

1869. 

1877. 

18 
28 

16.83 

26.80 

0.585 
0.886 

2 

2 

290 
308 

16.28 
17.78 

3 
3 

173 
127 

0 
100 

—0.535 

0.582 

-7.41 

6.85 

+0.244 
0.306 

+8.94 

8.74 

Sept.  7 
17 

27 

5.77 
15.74 
25.72 

1.198 
1.518 

1.838 

3 
3 

2 

317 
321 
318 

18.81 
19.29 
19.2? 

2 
2 
2 

77 
+  22 
—  33 

200 
300 
400 

0.624 
0.659 
0.690 

6.24 

5.58 
4.87 

0.367 
0.424 
0.478 

8.47 
8.13 
7.73 

Oct.    7 

5.69 

2.152 

2 

311 

18.62 

2 

90 

1870. 

1878. 

17 

15.66 

2.457 

2 

297 

17.43 

2 

144 

0 

—0.680 

—5.11 

+0.460 

+7.87 

300,          27 

25.63 

2.743 

1 

275 

15.76 

191 

100 

0.706 

4.38 

0.511 

7.42 

Nov.  6 

4.61 

3.004 

1 

248 

13.64 

233 

200 

0.726 

3.60 

0.558 

6.91 

16 

14.58 

3.237 

—  1 

216 

11.13 

265 

300 

0.740 

2.80 

0.601 

6.34 

36 

24.55 

3.435 

0 

177 

8.37 

288 

400 

0.747 

1.98 

0.639 

5.71 

Dee.  6 

4.53 

3.590 

0 

134 

5.40 

301 

1871. 

1879. 

16 
26 
36 

14.50 
24.47 
34.44 

3.701 
3.761 
+3.770 

0 

+  1 
+  1 

86 
+  35 
—  17 

+  2.39 
—  0.59 
—  3.45 

_ 

301 
294 
—276 

0 
100 
200 

-0.746 
0.749 
0.746 

—2.26 
1.42 

—0.58 

+0.627 
0.661 
0.690 

+5.93 
5.27 
4.57 

I 

1 

300 

0.736 

+0.27 

0.7  1  4 

3.82 

400 

0.720 

1.11 

0.7311     3.04 

1872  B. 

1880B. 

^  c5  ©T                 June  15.1. 

%  6  Mean  Sun,     June  15.1. 

0 

0.726!  +0.83 

+0.726;+3.31 

100 

0.706 

1.66 

0.739     2.51 

200 

0.681 

2.48 

0.746     1.69 

- 

300 

0.649 

3.28 

0.747     0.85 

400 

—  0.613|+4.05 

+0.7421+0.01 

SPECIAL  TABLES. 


123' 


TABLE  XXIV.—*  22  Camelopardalis  (H.) 

h    m                                                 °      ' 

E.A.  6    4.5.                       Dec.  +  69  22. 

Upper  transit  at  fictitious  meridian. 

-o" 

V 

Side- 
real 
Day. 

** 

i 

V 

*rf 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

187O. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1 
1865.                    1873. 

8                   "                   8 

0 

+1.335 

—7.55 

—1.956 

+4.59 

100 

1.157 

8.02 

1.843 

5.29 

s 

// 

200 

0.969 

8.43 

1.715 

595 

0,Jan.    0 

—  0.52 

+3.863 

+  2 

+  140 

+  1.51 

—  9 

+263 

300 

0.771 

8.76|     1.573 

6.56 

10   +  9.45 

3.944 

5+12 

4.12 

9 

258 

400 

0.567 

9.02      1.419 

7.11 

20 

19.42 

3.893 

8 

—115 

6.64 

9 

244 

30 

29.39 

3.718 

11 

234 

8.97 

8 

221 

1866. 

1874. 

Feb.    9 

8.37 

3.429 

13 

340 

11.03 

7 

189 

0 

+0.637 

—8.94 

—1.473  +6.94 

19 
Mar.   1 
11 
21 

18.34 
0.31 
10.28 
20.26 

3.044 
2.582 

2.067 
1.527 

15 
16 
17 

18 

428 
492 
532 
544 

12.73' 
14.01 
14.81 
15.12 

6 
5 
4 
2 

150 
105 
56 
+    6 

100 
200 
300 
400 

0.429 
0.217 
+0.004 
—0.210 

9.14 
9.27 
9.31 

9.28 

1.310 

1.138 

0.956 
0.767 

7.45 
7.90 

8.28 
8.60 

31 

30.23 

0.988 

17 

530 

14.93 

—  1 

—  44 

1867. 

1875. 

100,  Apr.  10 

9.20 

0.476 

16 

490 

14.25 

0 

91 

0 

—0.1381—9.30 

—0.832 

+8.50 

20 

19.18 

+0.016 

15 

428- 

13.12 

+  2 

134 

100 

0.351 

9.20 

0.638 

8.77 

30 

29.15 

—0.373 

13 

347 

11.59 

3 

171 

200 

0.561 

9.03 

0.440 

8.96 

May  10 

9.12 

0.674 

11 

252 

9.72 

4 

201 

300 

0.765 

8.78 

0.238 

9.09 

20 

19.09 

0.873 

9 

146 

7.59 

4 

224 

400 

0.963 

8.45 

0.035 

9.13 

30 

29.07 

0.964 

6 

-  35 

5.27 

5 

239 

1868  B. 

1876  B. 

June  9 
-    19 

8.04 
18.01 

0943 

0.810 

3 

+  1 

+  78 
188 

2.83 

+  0.36 

5 
5 

247 
247 

0 

—0.897 

—8.57 

—0.104 

+9.13 

29 

27.98 

0.569 

-2 

293 

—  2.08 

4 

240 

100 

1.089 

8.20 

+0.100 

9.12 

July  9 

7.96 

—0.226 

5 

391 

4.42 

4 

228 

200 

1.271 

7.75 

0.305 

9.04 

300 

1.442 

7.23 

O.»05 

8.89 

•300,          19 

17.93 

+0.210 

7 

480 

6.62 

3 

210 

400 

1.600 

6.66 

0.701 

8.66 

29 

27.90 

0.730 

10 

558 

8.61 

2 

188 

Aug.  8 

6.87 

1.322 

12 

625 

10.36 

+  1 

162 

1869. 

1877. 

18 

28 

16.85 

26.82 

1.975 

2.677 

14 
15 

680 
724 

11.84 
13.01 

—  1 

2 

133 
101 

0 

100 

—1.548 
1.697 

—6.86 
6.24 

+0.635 

0.829 

+8.75 
8.47 

Sept.  7 
17 
27 

5.79 
15.77 
25.74 

3.418 
4.184 

4.965 

16 

18 
17 

755 
776 

785 

13.86 
14.36 
14.51 

4 
6 

7 

67 
—  33 
+    3 

200 
300 
400 

1.830 
1.948 
2.048 

5.58 
4.86 
4.11 

1.015 
1.194 
1.364 

8.13 
7.71 
7.24 

Oct.    7 

5.71 

5.748 

17 

779 

14.29 

9 

40 

1870. 

1878. 

17 

15.68 

6.520 

16 

762 

13.71 

11 

77 

0 

—2.016 

—4.37 

+1.308+7.40 

300,          27 

25.66 

7.267 

15 

730 

12.76 

13 

113 

100 

2.105 

3.59 

1.470     6.89 

Nov.   6 

4.63 

7.974 

14 

683 

11.45 

14 

148 

200 

2.175 

2.78 

1.620|    6.31 

16 

14.60 

8.627 

12 

620 

9.81 

16 

180 

300 

2.226 

1.95 

1.757 

5.68 

26 

24.57 

9.208 

9 

541 

7.86 

17 

209 

400 

2.259 

l.ll 

1.881 

5.00 

Dec.   6 

4.55 

9.703 

7 

446 

5.64 

18 

233 

1871. 

1879. 

16 
26 
36 

14.52 
24.49 
34.47 

10.096 
10.375 
+10.531 

4 
—  1 

+  2 

338 
219 

+  93 

3.22 
—  0.66 
+  1.97 

18 
19 
—19 

250 
261 

+262 

0 
100 
200 
300 

—2.250'—  1.39 
2.269—0.55 
2.369+0.31 
2.250     1.15 

+1.841 
1.954 
2.051 
2.131 

+5.23 
4.52 
3.77 
2.99 

400 

2.212!     1.99 

2.194 

2.18 

1872  B. 

1880  B. 

-*  d  0,                 June  22.0. 

>|C  d  Mean  Sun,     June  22.4. 

0 

-2.2271+1.71 

+2.175J+2.46 

4c  8  Mean  Sun,    Dec.  22.0. 

100|    2.177 

2.53 

2225     1.64 

200!    2.108 

3.33 

2.258'+0.80 

300J    2.022 

4.10!     2.270—0.05 

1 

400—1.920 

+4.83]  +2.264}—  0.90 

124: 


SPECIAL  TABLES. 


TABLE  XXIV.—  11  Geminorum. 

h    m                                                     °      ' 

R.A.  6  15.1.                       Dec.  +  22  35. 

Upper  transit  at  fictitious  meridian. 

A.  a 

A    6 

' 

Side- 
real 

Aaa 

A    j 

Ap« 

6nd 

Day. 

' 

Sidcrcul  Dfly. 

VleanT)av 

187O. 

Var.  in 
10  y. 

)iff.  for 
10  d. 

187O. 

far.  in 
10  y. 

Mff.  for 
10  d. 

1865. 

s             " 

1873. 

s             " 

0 

+0.735 

-7.73 

—1.0721+4.86 

100 

0.637 

8.18 

1.010 

5.55 

g 

// 

200 

0.534 

8.56 

0.940 

6.18 

0,Jan.    0 

-   0.52 

+1.492 

0 

+104 

-  1.10 

—  2 

-     3 

300 

0.425 

8.86 

0.862 

6.77 

10 

+   9.45 

1.570 

+   1 

53 

1.09 

2 

+    5 

400 

0.313 

9.09 

0.777 

7.30 

20 

19.43 

1.598 

2 

+    2- 

1.01 

2 

12 

30 

29.40 

1.575 

2 

-  48 

0.86 

2 

16 

1866. 

1874. 

Feb.   9 

8.37 

1.504 

3 

91 

0.69 

2 

18 

0 

+0.351 

—9.02 

—0.806+7.13 

19 

Mar.   1 
11 
21 

18.34 
0.32 

10.29 
20.26 

1.391 
1.244 
1.072 

0.888 

3 
3 
3 
3 

131 
161 

180 
186 

0.49 
0.31 

0.18 
0.09 

2 

2 
2 

18 
15 
11 
6 

100 
200 
300 
400 

0.237 
0.121 
+0.004 
—0.114 

9.19 
9.29 
9.30 
9.23 

0.717 
0.622 
0.523 

0.419 

7.62 
8.04 
8.40 
8.69 

31 

30.24 

0.703 

3 

183 

0.05 

+     I 

1867. 

1875. 

100,  Apr.  10 
20 

921 
19.18 

0.526 
0.371 

3 
3 

168 
142 

0.07 
0.14 

—    5 

9 

0 
100 

—0.074 
0.191 

—9.26 
9.14 

—0.454 
0.348 

+8.60 

8.84 

30 

2915 

0.244 

2 

110 

0.25 

11 

200 

0.306 

8.94 

0.239 

9.01 

May  10 

9.13 

0.152 

2 

73 

0.36 

1 

12 

300 

0.418 

8.66 

0.128 

9.10 

do 

19.10 

0,100 

2 

—  31 

0.49 

0 

12 

400 

0.527 

8.30 

0.016 

9.12 

30 

29.07 

0.091 

2 

+  13 

0.60 

0 

9 

1868  B. 

1876  B. 

June  9 

8.04 

0.127 

1 

58 

0.66 

0 

5 

19 

1802 

0.207 

+  1 

100 

0.69 

o 

—    1 

0 

—0.491 

—8.43 

—0.054 

+9.13 

29 

27.99 

0.327 

0 

139 

O.G8 

1 

+    3 

100 

0.596 

8.03 

+0.058 

9.09 

July  9 

7.96 

0.485 

0 

177 

0.62 

1 

200 
300 

0.696 
0.790 

7.56 

7.02 

0.170 

0.280 

8.99 

8.81 

200,          19 

17.94 

0.679 

—  1 

209 

0.54 

1 

10 

400 

0.877 

6.42 

0.388 

8.55 

29 

27.91 

0.902 

1 

237 

0.42 

1 

13 

Aug.  8 

6.88 

1.152 

2 

259 

0.29 

2 

13 

1869. 

1877. 

18 
28 

16.85 
26.83 

1  422 
1.711 

2 
3 

280 
296 

0.17 
0.10 

2 
2 

10 
+    6 

0 
100 

—0.847 
0.930 

—6.63 
5.99 

+0.352 
0.458 

+8.65 
8.34 

Sept.  7 
17 
27 

5.80 
15.77 
25.74 

2.012 
2.323 

2.642 

3 
3 
4 

307 
315 
320 

0.06 
0.09 
0.20 

3 
3 
4 

0 

7 

14 

200 
300 
400 

1.004 
1.068 
1.123 

5.31 

4.58 
3.81 

0.56C 
0.658 
0.751 

7.97 
7.54 
7.04 

Oct.    7 

5.72 

2.964 

4 

321 

0.38 

4 

22 

187O. 

1878. 

17 

15.69 

3.283 

3 

318 

0.62 

4 

28 

( 

—1.106 

—4.07 

+0.7201+7.21 

300,         27 

25.66 

3.596 

3 

310 

0.91 

5 

31 

100 

1.154 

3.28 

0.809 

6.67 

Nov.  6 

463 

3.902 

3 

298 

1.24 

5 

33 

2€0 

1.193 

2.47 

0.891 

6.08 

16 

14.61 

4.190 

3 

277 

1.56 

6 

32 

300 

1.221 

1.6: 

0.9Gb 

5*43 

26 

2458 

4.454 

2 

252 

1.88 

7 

30 

400 

1.239 

0.78 

1.034 

4.74 

Dec.   6 

4.55 

4.691 

2 

220 

2.16 

7 

24 

1871. 

1879. 

16 
26 
36 

14  53 
24.50 
34.47 

4.891 
5.050 
+5.160 

—  1 

0 
0 

180 
135 
+  85 

2.36 

2.50 
—  2.55 

7 
7 
—  7 

17 

-    9 
0 

20 

—1.2341—1.0" 
1.244J—  0.2: 
1.245+O.CS 

+1.012 
1.074 
1.127 

+4.97 
4.25 
3.49 

30C 

1.254     1.47 

1.17C 

2.70 

40C 

1.213|    2.29 

1.204 

1.89 

1872  B. 

1SSOB. 

>|c  6  0,                 June  24.7. 

>j<  c5  Mean  Sun,    June  S&.3. 

—1.221 

+2.02 

+1.1941+2.16 

10 

1.  19L 

2.83 

1.2211     1.34 

20C 

1.15( 

3.62 

i     1.239+0.49 

30< 

1.10L 

4.37 

1.245 

—0.36  I 

i  40C 

—1.052  +5.CO 

+1.245—1.20 

SPECIAL  TABLES. 


125 


TABLE  XXIV.-a  Argus. 

h    m                                                   o      / 

R.A.  6  21.1.                       Dec.  —  52  38. 

Upper  transit  at  fictitious  meridian. 

A0a 

A0<* 

Side- 
real 

A^a 

V 

A 

AQ<5 

Day. 

IVf  Ocin  D&y 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                      " 

1873. 

8                    " 

0 

+O.S<5—  7.83 

—0.434'  +5.  00 

100 

0.303J    8.26 

0.417 

5.68 

g 

// 

200 

0.369!    8.62 

0.387 

6.31 

0,  Jan.   0 

—    0.51 

+2.250 

+   1 

+  15 

—  2.33 

+   1 

—350 

300 

0.232 

8.91 

0.374 

6.88 

10 

+   9.46 

2.229 

1 

—  57 

5.75 

1 

333 

400 

0.193 

9.12 

0.347 

7.40 

20 

19.43 

2.137 

1 

126 

e.% 

1 

306 

30 

29.40 

1.979 

2 

190 

11.85 

1 

271 

186U. 

1874. 

Feb.    9 

8.38 

1.760 

2 

247 

14.36 

1 

230 

0 

+0.206 

—9.05 

—0.357+7.23 

19 
Mar.    1 
11 
21 

18.35 
0.3-2 
10.29 
20.27 

1.488 
1.175 
0.835 
0.476 

2 
2 
2 

2 

294 
309 
352 
362 

16.43 
18.01 
19.09 
19.63 

0 
0 
0 

183 
133 

81 
—  28 

100 
200 
300 
400 

0.166 
0.124 
0.082 
0.039 

9.21 
9.29 
9.28 
9.20 

0.328J    771 
0.2971     8.12 
0.264     8.46 
0.229;    8.73 

31 

30.24 

+0.116 

2 

358 

19.66 

0 

+  23 

1867. 

1875. 

100,  Apr.  10 
20 
30 

921 

19.19 
29.16 

—0.235 
0564 
0.862 

2 
2 
I 

342 
315 

278 

19.18 
18.19 
16.73 

—  1 

1 
1 

74 
123 

169 

0 
100 
200 

+0.053—9.24 
+0.010     9.10 
—  0.034  i    8.88- 

—0.241 
0.204 
046G 

+8.65 
8.88 
9.03 

May  10 

9.13 

1.117 

1 

232 

14.82 

1 

211 

300 

0.078 

8.58 

0.126 

9.11 

20 

19.10 

1.324 

1 

181 

12.53 

2 

247 

400 

0.120 

8.21 

0.086 

9.11 

30 

29.08 

1.478 

+  1 

125 

9.90 

2 

278 

1868  B. 

1876  B. 

June  9 

8.05 

1.573 

0 

64 

6.99 

2 

302 

19 

18.02 

.606 

0 

—    3 

3.89 

3 

318 

0 

—0.106 

—8.35 

—0.100 

+9.12 

£9 

27.99 

.579 

0 

+  57 

—  0.66 

3 

327 

100 

0.14b 

7.93 

0.059 

9.07 

July  9 
200,          19 

7.97 
17.94 

.492 
.346 

—  1 
1 

117 
174 

+  2.62 
5.83 

3 
2 

326 
315 

200 
300 

400 

0.189 
0.227 
0.264 

7.44 
6.89 
6.28 

-0.017 
+0  C25 
0.066 

8.95 
8.75 
8.49 

29 

27.91 

.146 

1 

226 

8.89 

2 

296 

Aug.  8 

688 

0.895 

1 

275 

11.71 

2 

2<56 

1869. 

1877. 

18 
28 

16.86 
26.83 

O.E99 
-0.264 

1 

2 

317 
351 

14.17 

16.20 

2 

2 

226 

180 

0 
100 

—0.2521—6.49 
0.287     5.85 

+0.052 
0.094 

+8.58 
8.27 

Sept.  7 
17 
27 

5.80 
15.78 
25.75 

+0.101 
0.491 

0.894 

2 

2 
o 

379 

408 

17.74 
18.69 
19.03 

2 
2 
1 

125 
65 

+    3 

200 
300 
400 

0.320     5.15 
0.3501    4.42 
0.3771    364 

0.134 
0.174 
0.212 

7.88 
7.44 
6.92 

Oct.    7 

5.72 

1.304 

2 

409 

18.74 

1 

-52 

1870. 

1878. 

17 

1569 

1.709 

2 

398 

17.79 

I 

126 

0 

_0.3fift|—  3.91 

+0.199 

+7.10 

300,          27 

25.67 

2.097 

378 

16.23 

—  1 

185 

100 

0.392     3.11 

0.236 

6.55 

Nov.   6 

4.64 

2.462 

347 

14.11 

0 

238 

200 

0.414     229 

0.272 

5.95  i 

16 

1461 

2.788 

305 

11.49 

0 

284 

300 

0.431      1.4C 

0.305 

5.29  j 

28 

2458 

3.070 

255 

8.46 

0 

320 

400 

0.445     0.62 

0.336 

4.59 

Dec.   6 

4.56 

3.297 



196 

5.12 

0 

343 

1871. 

1879. 

16 

26 
36 

14  53 
24.50 
34.48 

3.460 
3.556 
+3.582 

0 
0 
+  1 

130 

+  62 
—  10 

+  1.63 
—  1.95 
—  5.47 

0 
0 
0 

355 
357  ! 
—34(5 

0 
100 

200 

—0.441 
0.452 
0.460 

—0.90 
—0.05 
+O.W 

+0.325 
0.354 

0.38U 

+4.83  1 
4.JO 
3.33 

300 

0.463 

1.64 

0.403 

2.54 

400 

0.463 

2.46 

0.423 

1.72 

1873  B. 

18SOB. 

*  d  ©,                  June  26.2. 

>jc  6  Mean  Sun,     June  26.8. 

0 

—0.463 

+2.19  +0.417+2.00 

100 

0.460 

3.00      0.4541     1.17 

200 

0.453 

3.78      0  448+0.32  \ 

300 

0.443 

4.52 

0.457—0.52  i 

400 

—0.428  +5.23  '+0.464—1.37 

126 


SPECIAL  TABLES. 


TABLE  XXIV.—  7  Geminorum, 

h    m                                                    °      * 

K.A.  6  30.2.                       Dec.  +  16  30. 

Upper  transit  at  fictitious  meridian. 

AQa 

A0<5 

Side- 
real 

A^a 

A^<5 

AQa 

^d 

Sidcrcfll  D&v 

Mean  Da 

Day. 

1870. 

Var.in 
10  y. 

Diff.  foi 
10  d. 

1870. 

Var.  in 

10  y. 

Diff.  for 
10  d. 

1865. 

8                    " 

1873. 

8                    " 

0 

+0.695 

—7.95 

—1.021 

+5.22 

100 

0.602 

8.36 

0.961 

5.88 

V 

8 

„ 

200 

0.503 

8.70 

0.893 

6.49 

0,  Jan.   0 

—  0.51 

+1.441 

0 

+114 

—  1.71 

—  2 

—  45 

300 

0.399 

8.96 

0.818 

7.04 

10 

+  9.46 

.530 

0 

64 

2.11 

2 

34 

400 

0.292 

9.15 

0.736 

7.54 

20 

19.44 

.570 

+  * 

+  15 

2.40 

2 

24 

30 

2941 

.56! 

1 

—  34 

2.58 

2 

15 

1866. 

1874. 

Feb.  9 

8.38 

.504 

2 

80 

2.69 

2 

—    7 

0 

4-0.328—9.09 

—0.7651+7.38 

19 
Mar.  1 
11 
21 

18.36 
0.33 
10.30 
2028 

.404 
.269 
.110 
0.934 

2 
2 
3 
3 

119 
149 
169 
179 

2.72 

2.70 
2.63 
2.55 

2 

2 
2 

1 

0 
+    5 

8 

100 
200 
300 
400 

0.219     9.23 

+0.108     9.28 
—0.004     9.25 
0.1161    9.14 

0.679 

0.588 
0.492 
0.392 

7.84 
8.22 
8.54 
8.79 

31 

30.25 

0.756 

3 

177 

2.47 

1 

8 

1867. 

1875. 

100,  Apr.  10 

9.22 

0.584 

3 

165 

2.38 

1 

9 

0 

—0.079 

—9.18 

—0.427i+8.72 

20 

19.19 

0.429 

3 

144 

2.29 

1 

10 

100 

0.190 

9.02 

0.325 

8,92 

30 

29.16 

0.298 

3 

116 

2.17 

1 

12 

200 

0.300 

8.78 

0.221 

9.04 

May  10 

9.14 

0.199 

2 

81 

2.04 

1 

15 

300 

0.407 

8.46 

0.115 

9.10 

20 

19.11 

0.138 

1 

40 

1.87 

1 

18 

400 

0.511 

8.06 

0.008 

9.07 

30 

29.08 

0.118 

1 

—     1 

1.67 

1 

22 

1868  B. 

1876  B. 

June  9 
19 

29 
July  9 

8.06 
18.03 
28.00 
7.97 

0.137 
0.198 
0.299 
0.438 

+  1 
0 
0 
0 

+  40 
81 
120 
155 

1.42 
1.13 

0.80 
0.43 

0 
0 
1 
1 

27 
31 
35 

38 

0 
100 
200 
300 

—0.476 
0.577 
0.672 
0.761 

—8.20 
7.76 
7.26 
C.69 

—0.044 
+0.063 
0.169 
0.275 

+9.09 
9.02 
8.87 
8.65 

200,          19 

17.95 

0.608 

—  1 

185 

—  0.05 

1 

38 

400 

0.844 

6.06 

0.378 

8.36 

29 

27.92 

0.808 

1 

215 

+  0.32 

2 

36 

Aug.  8 

6.89 

1.038 

2 

240 

0.66 

2 

31 

1869. 

1877. 

18 
28 

16.86 

26.84 

1.287 
1.555 

2 
3 

259 
276 

0.94 
1.15 

2 
2 

25 
16 

0 
100 

—0.817 
0.894 

—6.28 
5.6-2 

+0.343 
0.444 

+8.47 
8.13 

200 

0.964 

4.91 

0.542 

7.72 

Sept.  7 

5.81 

1.838 

3 

290 

1.26 

3 

+    4 

300 

1.025 

4.17 

0.635 

7.25 

17 

15.78 

2.133 

3 

300 

1.23 

3 

9 

400 

1.077 

3.38 

0.723 

6.72 

27 

25.75 

2.436 

3 

307 

1.07 

3 

23 

Oct.   7 

5.73 

2.745 

4 

311 

0.78 

4 

36 

1870. 

1878. 

17 

15.70 

3.056 

4 

310 

+  0.35 

4 

48 

0 

—1.060 

—3.65 

+0.694 

+6.91 

300,          27 

25.67 

3.364 

3 

305 

—  0.18 

4 

58 

100 

1.106 

2.84 

0.779 

6.34 

Nov.  6 

4.65 

3.664 

3 

294 

0.80 

5 

66 

200 

1.142 

2.02 

0.857 

5.72 

16 

14.62 

3.951 

2 

277 

1.49 

5 

70 

300 

1.168 

1.18 

0.928 

5.05 

26 

24.59 

4.217 

2 

254 

2.19 

5 

70 

400 

1.185 

0.33 

0.992 

4.33 

Dec.  6 

4.56 

4.457 

1 

224 

2.88 

5 

66 

1871. 

1879. 

16 

26 
36 

14.54 
24.51 
34.48 

4.663 

4.829 
+4.950 

1 
—  1 
0 

187 
144 
+  96 

3.51 
4.08 
—  4.54 

6 
6 

—  7 

60 
52 
—  41 

0 
100 
200 

—1.180 
1.190 
1.189 

—0.62 
+0.23 
1.07 

+0.971 
1.030 

1.080 

+4.58 
3.84 
3.06 

300 

1.178     1.91 

1.121 

2.26 

400 

1.157|    2.72 

1.153 

1.44 

1872  B. 

1880  B. 

*  6  0,                 June  28.4. 

>|<  6  Mean  Sun,     June  29.1. 

0 

-1.165 

+2.45 

+1.143 

+1.72 

100 

1.138 

3.25 

1.168 

0.88 

200 

1.102 

4.02 

1.184 

+0.04 

300 

1.056 

4.75 

1.190—0.81 

400 

—  1.001 

+5.44 

+1.186J—  1.65 

SPECIAL  TABLES. 


127 


TABLE  XXIV.-*51  Cephei  (Hev.)t 

h    m                                                    °      ' 

R.A.  6  38.7.                      Dec.  +  87  14. 

Upper  transit  at  fictitious  meridian. 

A    a 

AQcJ 

' 

Side- 
real    AQO 

AQ<* 

A^fl 

AQ(J 

| 

' 

Day. 

00 

Siclcrcul  Dsy.    McanDfly. 

i 

I 

t  fcj-yft     Yar-  in  Diff-  for 

i  syo 

Var.  in  Diff.  for 

1865. 

1873. 

±«¥v.     n)y. 

10  d. 

m.9i  W. 

10  y. 

10  d. 

8                 " 

8                    " 

0 

+  4.651-8.03 

—  7.95J+5.44 

100 

3.72     8.43 

7.26     6.08 

8 

II  • 

200 

2.76     8.75 

6.52     6.67 

0,Jan.   0  —  0.51 

+28.S2 

—12  +107 

—  0.96 

-46  +320 

300 

1.78 

8.99 

5.72     7.21 

10   +  9.46 

28.93 

-2+15 

+  2.27 

46 

323 

400 

0.78 

9.16 

4.88|    7.68 

20       19.44 

28.62 

+  8 

—  76 

5.46 

45 

314 

30       29.41 

27.42 

18 

164 

8.51 

43 

293 

1866. 

1874. 

Feb.   9 

8.38 

25.38 

27 

243 

11.27 

40 

261 

0 

+  1.12 

-9.11 

—  5.171+7.53 

19 
Mar.   1 
11 
21 

18.36 
0.33 
10.30 
20.28 

22.59 
19.20 
15.33 
11.17 

36 
43 

48 
52 

312 

366 
404 
425 

13.67 
15.63 
17.04 

17.87 

35 
30 
24 
17 

219 
169 
113 
+  53 

100 
200 
300 
400 

+  0.11 
—  0.90 
1.90 
2.88 

9.22 
9.26 
9.21 
9.0fe 

4.30     7.96 
3.4D     8.32 
2.46     8.62 
1.5l|    8.84 

31 

30.25 

6.89 

54 

428 

18.09 

10 

-    8 

1867. 

1875. 

100,  Apr.  10  !      9.22 
20       19.19 

+  2.66 
—  1.34 

55 
53 

414 

384 

17.72 
16.76 

—  3 

+  3 

68 
123 

0 
100 

—  2.55 
3.52 

—9.13 
8.95 

—  1.84+8.77 
—  0.88     8.95 

30  !    29  16 

4.97 

49 

340 

15.26 

9 

174 

200 

4.46 

8.68 

+  0.09 

9.05 

May  10 

9.14 

8.09 

44 

283 

13.29 

14 

218 

300 

5.35 

8.34 

|         v.  %rv 

1.05 

9.07 

20 

19.11 

10.60 

38 

218 

10.93 

18 

254 

400 

6.20     7.93 

2.00 

9.01 

30 

29.08 

12.42 

30 

145 

8.24 

21 

282 

1868  B. 

1876  B. 

June  9 

8.06 

13.49 

21 

—  69 

5.32 

23 

301 

19 

18.03 

13.78 

12 

+  10 

+  226 

24 

310 

0 

—  5.921—8.08 

+  1.68 

+9.04 

28.00 

1329 

+  2 

88 

-  0.86 

23 

313 

100 

6.73 

7.62 

2.63 

8.94 

July   9 

7.97 

12.04 

Is 

163 

3.96 

21       306 

200 

7.48 

7.09 

3.55 

8.76 

300 

8.17 

6.51 

4.44 

8.51 

200,          19 

17.95 

10.04 

18 

236 

696 

18 

292 

400 

8.78 

5.86 

5.30 

8.19 

29 

27.92 

7.35 

27 

302 

9.79 

14       272 

Aug.  8 

6.89 

4.04 

37 

362 

12.39 

9       246 

1869. 

1877. 

18 

28 

16.86 

26.84 

—  0.16 
+  4.21 

45 
53 

413 

458 

14.70 
16.67 

+  3  j    215 
—  4       179 

0 
100 

—  8.581—6.09 
9.14|    5.41 

+  5.01+8.30 
5.84      7.94 

Sept.  7 
17 
27 

5.81 
15.78 
25.75 

8.97 
14.05 
19.33 

59 
64 

68 

493 
520 
535 

18.27 
19.45 

20.19 

11       139 
19        97 
27        51 

200 
300 
400 

9.61 

10.00 
10.31 

4.69 
3.93 
3.13 

6.6'^ 
7.34 
8.01 

7.50 
7.01 
6.45 

Oct.    7 

5.73 

24.74 

71 

541 

20.46 

36—5 

187O. 

1878. 

17 

15.70 

30.13 

72 

535 

20.28 

44   +  44 

0 

—10.21—3.41 

+  7.79+6.65 

!  300,          27 

25.67 

35.40 

72 

517 

19.59 

53         93 

100 

10.46J    2.59 

8.41     6.06 

Nov.  6 

4.6:> 

40.43 

70       487 

18.42 

61       140   :  200 

10.601    1.76 

8.96 

5.41 

16 

14.62 

45.10 

66 

445 

16.78 

68       186 

300 

10.66|    0.92 

9.44 

4.72 

26 

24.59 

49.29 

61 

390 

14.70 

74       227 

400 

10.62|    0.07 

9.84 

3.98 

Tec.  6 

4.56 

52.86 

54 

324 

12.24 

80 

264 

1871. 

1879. 

16 
26 
36 

14.54 
24.51 
34.48 

55.73 
57.79 
+58.97 

46 

38 

—28 

248 
163 
+  73 

9.46 
6.42 
—  3.23 

84 
87 
-89 

293 
313 

+323 

0 
100 
200 

—10.65 
10.55 
10.36 

—0.35 
+0.5C 
1.34 

+  9.72 
10.06 
10.3^ 

+4.24 
3.48 
2.69 

300 

10.08 

2.17 

10.50 

1.88 

400 

9.72 

2.98 

10.58 

1.05 

1872  B. 

1SSOB. 

*  6  ©,                 June  30  5. 

>jc  3  Mean  Sun,     July  1  .3. 

0 

—  9.e» 

+2.71 

+10.56+1.33 

*  8  Mean  Sun,     Dec.  30.9.  " 

100 

9.43 

3.50 

10.59+0.49 

200 

8.94 

4.26 

10.52-0.35 

t  See  pages  248,  249,  251-253  for  additional  corrections. 

300 

8.36 

4.96 

10.37 

1.20 

400 

—  7.72 

+5.66 

+10.12 

—2.03 

128 


SPECIAL  TABLES. 


TABLE  XXIV.-e  Canis  Majoris. 

h    m                                                    °      ' 

R.A.  6  53.5.                       Dec.  —  28  48. 

Upper  transit  at  fictitious  meridian. 

A    a 

AQ6 

Side- 
real 

A^a 

A    d 

Ana 

AQ«J 

' 

Day. 

Sid.crcQl  Duy. 

VI  G  tin  Day. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8 

1873. 

s              " 

0 

+0.550—8.23 

—0.741 

+5.73 

100 

0.491     8.58 

0.708 

6.34 

8 

// 

200 

0.428     8.85 

0.66- 

6.90 

0,  Jan.  0 

—  0.49 

+1.568 

0 

+  98 

—  0.92 

+  2 

—296 

300 

0.361     9.05 

0.624 

7.41 

10 

+  9.48 

.640 

0 

+  45 

3.83 

2 

284 

400 

0.290!     9.14 

0.574 

7.84 

20 

19.45 

.658 

+  1 

—    8 

6.57 

2 

263 

30 

29.43 

.625 

59 

9.07 

1 

236 

1866. 

1874. 

Feb.   9 

8.40 

.541 

2 

106 

11.28 

+  1 

204 

0 

+0.314 

—9.13 

—0.591 

+7.70 

19 
Mar.   1 
11 
21 

18.37 
0.34 
10.32 
20.29 

.414 

.248 
.054 
0.844 

2 
2 

2 
2 

148 
182 
203 
2^6 

13.14 
14.63 
15.72 
16.40 

0 
0 

1 

168 
129 
89 

48 

100 
200 
300 
400 

0242 

0.168 
0.09-2 
0.015 

9.20 
9.18 

9.09 
8.92 

0.538 
0.481 
0.420 
0.356 

8.10 
8.43 
8.69 

8.87 

31 

30.26 

0.623 

2 

219 

1667 

1 

—    6 

1867. 

1875. 

100,  Apr.  10 
20 

9.23 
19.21 

0.407 
0.201 

2 
2 

212 

197 

16.53 

16.00 

1 
1 

+  34 

72 

0 
100 

+0.041 
—0.035 

-8.98 

8.75 

—0.378 
0.311 

+8.82 
8.96 

30 

29.18 

+0.015 

2 

172 

15.09 

2 

111 

200 

0.112 

8.4C 

0.243 

9.02 

May  10 

9.15 

—0.141 

2 

140 

13.79 

2 

146 

300 

0.187 

8.07 

0.172 

9.01 

20 

19.13 

0.264 

2 

105 

12.18 

2 

176 

400 

0.261 

7.62 

0.100 

8.92 

30 

29.10 

0.351 

1 

67 

10.27 

3 

204 

1868  B. 

1876  B. 

June  9 
19 
29 
July    9 

8.07 
18.04 
28.02 
7.99 

0.398 
0.403 
0.367 
0.291 

1 

+  1 
0 
0 

-  26 
+  16 
56 
96 

8.11 
5.74 
3.24 

-  0.68 

3 
3 
4 
4 

228 
245 
254 
258 

0 
100 
200 
300 

-0.236 
0.308 
0.378 
0.444 

—7.78 
7.29 
6.74 
6.13 

-0.124 

-0.001 
+0.022 
0095 

+896 

8.83 
8.62 
8.34 

200,          19 

17.96 

0.175 

0 

134 

+  1.89 

4 

253 

400 

0.506 

5.46 

0.168 

8.00 

29 

27.93 

—0.023 

—  1 

168 

4.36 

3 

241 

Aug.  8 

6.91 

+0.161 

1 

199 

6.69 

3 

221 

1869. 

1877. 

18 
28 

16.88 
26.85 

0.375 
0.618 

2 

2 

229 
255 

8.76 
10.52 

3 
3 

192 
157 

0 

100 

—0.485 
0.544 

—5.69 

4.99 

+0.143 
0.215 

+8.12 
7.73 

200 

0.598 

4.26 

0.285 

7.27 

Sept.  7 

5.83 

0.883 

2 

276 

11.88 

3 

113 

300 

0.647 

3.49 

0.352 

6.76 

17 

15.80 

1.168 

2 

293 

12.77 

3 

65 

400 

0.690 

2.69 

0.417 

6.18 

27 

25.77 

1.468 

2 

305 

13.17 

3 

+  14 

Oct.    7 

5.74 

1.777 

2 

313 

13.04 

2 

—  41 

187O. 

1878. 

17 

15.72 

2.09-2 

2 

315 

12.36 

2 

94 

0 

—0.6761-2.96 

+0.396 

+6.38 

300,          27 

2569 

2.405 

2 

310 

11.18 

2 

144 

100 

0.715 

2.14 

0.458 

5.78 

Nov.  6 

4.66 

2.710 

298 

9.50 

2 

190 

200 

0.748 

1.31 

0.518 

5.12 

16 

14.63 

2.999 

1 

279 

7.40 

2 

230 

300 

0.774 

—0.47 

0.572 

4.42 

26 

24.61 

3.265 

1 

253 

4.93 

2 

262 

400 

0.794 

+0.37 

0.623 

3.68 

Dee.  6 

4.58 

3.502 

1 

219 

+  2.19 

2 

284 

1871. 

1879. 

16 
26 
36 

14.55 
24.53 
34.50 

3.702 
3.855 
+3.960 

—  1 

0 
0 

177 
129 
+  79 

—  0.71 
3.70 
-  6.67 

2 
2 
—  2 

297 
300 
—293 

0 
100 
200 

-0.788 
0.803 
0.811 

+0.09 
0.93 
1.76 

+0.606 
0.653 
0.695 

+3.93 
3.17 

2.38 

300 

0.813 

2.56 

0.731 

1.56 

400 

0.807 

3.36 

0.701      0.74 

1872  B. 

18SOB. 

*  6  O,                July  4.0. 
^c  c5  Mean  Sun,    July  5.1. 

0 
100 

—0.810 
0.800 

+3.09 
3.86 

+0.752 
0.777 

+1.02 

+0.18 

200 

0.783 

4.60 

0797 

—0.66 

300 

0.760 

5.29 

0.809 

1.49 

{ 

400 

—0.731 

+5.94 

+0.815 

—2.31 

SPECIAL  TABLES. 


129 


i 

TABLE  IXIY.-c*  Canis  Majoris. 

h    m                                                    o      / 

R.A.  7    3.1.                       Dec.  —26  11. 

Upper  transit  at  fictitious  meridian. 

A.  a 

" 

A    6 

' 

Side- 
real      AQO 

A    d 

A    a 

A    6 

Day. 

* 

* 

Sidereal  Day 

Mean  Day. 

i 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.in 
10y. 

Diff.  for 
10  d. 

1865. 

8                    " 

1873. 

8                         " 

0 

+0570 

-8.32 

—0.768 

+5  93 

100 

0.509 

8.64 

0.733     6  52 

s 

// 

200 

0.444 

8.88 

0.692 

7  05 

0,Jan.    0 

—  0.49 

+1.526 

0 

+111 

—  0.66 

+  2 

—287 

300t    0375 

905 

0646 

753 

10 

+  9.49 

.612 

0 

60 

3.47         2 

276 

400 

0.302 

9.14 

0.595 

7.95 

20 

19.46 

.645 

0 

+    6 

6.16        2       258 

30 

29.43 

.625 

+  1 

—  45 

8.61 

2 

232 

1866. 

18 

74. 

Feb.    9 

8.41 

.557 

92 

10.78  |+  1 

201 

0 

+0.327—9.12 

-0.613+781 

19 
Mar.   1 
11 

18.38 
0.35 
10.32 

.442 
.291 
.109 

2 
2 
o 

134 

168 
192 

12.62        0 
14.11         0 
15.23         0 

167 
131 
92 

100 
200 
300 

0252 
0.175 
0.097 

916      0558     818 
9.12H    0.499;    8.49 
899if    0436!    872 

21 

20.30 

0.909 

3 

206 

15.93 

0 

52 

400 

0.017 

8.79 

0.369 

8.88 

31 

30.27 

0.699 

2 

211 

16.26 

_  1 

—  12 

1867. 

1875. 

100,  Apr.  10 
20 
30 
May  10 
20 

924 
19.21 
29.  19 
9.16 
19.13 

0.489 
0.291 
+0.111 
—0.044 
0.166 

2 
2 
2 
2 
2 

205 
190 
168 
139 
104 

16.18         1 
15.73         1 
14.92        2 
13.75  |      2 
12.26        2 

+  27 
63 
99 
134 
164 

0 
100 
200 
300 
400 

+0.044 
—0.035 
0.114 
0.192 
0.269 

—8.87 
8.62 
8.29 
7.89 
7.42 

i—  0.392i+8.83 
0.3231    8.95 
i     0.252i    898 
i     0.179!    895 
0.104!    8.83 

30 

29.11 

0.252 

1 

68 

10.49        2 

190 

1868  R- 

187«  n- 

June  9 

8.08 

0.302 

+  1 

—  30 

8.47         3 

213 

19 

18.05 

0.312 

0 

+  11 

6.25         3 

231 

0 

—0.243 

—759 

—0.130+8.88 

29 

28.02 

0.281 

0 

50 

3.88 

3 

242 

100 

0318 

7.07 

—0.054 

8.72 

July   9 

8.00 

0.212 

0 

89 

—  1.44 

3 

246 

200 

0.390 

6.50 

+0.022 

8.49 

300     0.458 

5.87 

0.09?1    8  19 

200,          19 

17.97 

—0.104 

—  1       126 

+  1.01         3 

243 

400     0.522 

5.20 

0.172|    7.82 

29 

27.94 

+0.039 

1       159 

3.40         4  !    232 

Aug.  8 

6.91 

0.214 

1 

191 

5  63  ;      4       213 

1869. 

1877. 

18 
28 

16.89 
26.86 

0.421 
0.652 

1 

2 

219 
.243 

7.63 
9.33 

3 
3 

186 
152 

0 
100 

—0.501 
0.562 

—543  +0  147+795 
4.72      0.221      7.54 

Sept.  7 
17 
27 

5.83 
15.80 

25.78 

0.907 
1.183 
1.474 

a 

2 
2 

266 

284 
300 

10.65 
11.54 
11.95 

0 

3 
2 

113 
67 
+  16 

200 
300 
400 

0.618 
0669 
0.713 

398 
3.20 
2.39 

0.293 
0363 
0.431 

7.06 
6.53 
5.94 

Oct.    7 
17 

5.75 
15.72 

1.780         2 
2.089         2 

309 
311 

11.85 
11.23 

2 
2 

I  36 

87 

1870. 

1878. 

300,          27 
Nov.   6 

25.70 
4.67 

2.400 
2.706 

2 
1 

310 

300 

10.11 
8.51 

2 
2 

137 
183 

0 
100 
200 

—  0.7001    2.67 
0.740^    1.85 
0.774     1.02 

+0.403|+6.15 
0.473J     5.52 

0  f.34      4.85 

16 

14.64 

2.997 

1 

283 

6.48 

2       221 

300 

0.801—0.13 

0.591 

4.14 

25 
Dec.    6 

24.61 
4.59 

3.269 
3.513 

1 

—  1 

259 
227 

4.11 
+  1.47 

2 

2 

252 

275 

400 

0.822+0.66 

0.6441    3.39 

187 

1. 

18' 

79. 

16 
26 

14.56 
24.53 

3.721 

3.883 

0 
0 

187 
143 

-  1.36 
4.25 

2 
2 

288 
290 

0 

—  0.815i+0.38 

+0.627  +3.65 

36 

34.50 

+4.005 

0 

+  93 

—  7.14 

—  2 

-285 

100 
200 

onr\ 

0831 

0840 

Ifl  Q  ,1  1 

1.21 

2.03 

2OO 

0.675 
0.719 

288 
2.09 

oUU 

400 

U.Ofil 

0.836 

.00 

.3.61: 

0.756 
0.767 

1.27 
0.44 

H 
1872  B.                1880  B. 

*  6  0,                  July  6.4. 

>K  6  Mean  Sun,     July  7.5. 

0 
100 

—0.838+3.35 
0.828     4.  1  1 

+0.777+0.72 
0.804—  0.11 

200 

0.811 

4.82 

0.824 

0.94 

300 

0.787 

5.50 

0.838 

1.77 

400—  0.756  +6.1  2 

+0.844:—  2.58 

9 

130 


SPECIAL  TABLES. 


TABLE  XXIV.-<?  Gcminorum. 

h    m                                                    °      ' 

R.A.  7  12.4.                       Dec.  +  22  13. 

Upper  transit  at  fictitious  meridian. 

AQa 

A0<* 

Side- 
real 

AQa 

AQ(j' 

° 

Day. 

1870. 

10  y. 

DSff.  for 
10  d. 

1870. 

Var.in 
10y. 

Diff.  for 
10  d. 

1865. 

8                    " 

18? 

s 

3. 

0 

+0.678 

-8.39 

—1.032 

+6.10 

100 

0.578 

8.6S 

0.9G6 

6.67 

8 

// 

200 

0.473 

8.90 

0.892 

7.19 

0,Jan.    0 

-0.48 

+1.469 

0 

+163 

-  3.04 

—  2 

-  24 

300 

0.363 

9.04 

0.810 

7.64 

10 

+  9.49 

1.608 

0 

113 

3.21 

2 

—    9 

400 

0.250 

9.11 

0.722 

8.03 

20 

1947 

1.694 

0 

58 

3.23 

0 

+    5 

30 

29.44 

1.725 

+  1 

+    5 

3.11 

3 

17 

1866. 

18: 

r4. 

Feb.   9 

8.41 

1.704 

2 

—  46 

2.89 

3 

25 

0 

+0.2891—9.10 

—0.753  +7.91 

19 
Mar.   1 
11 
21 

18.38 
0.36 
10.33 
20.30 

1.634 
1.524 
1.379 
1.212 

2 
3 
3 
4 

91 
129 

158 
174 

262 
2.29 
1.94 
1.63 

3 
2 
2 
2 

30 
33 
33 
30 

100 
200 
301 
400 

0.174     9.11 

+0.058     9.04 
-0.058     8.89 
0.174J    8.66 

0.661 
0.564 
0.463 
0.35& 

8.25 
8.53 

8.74 
8.87 

31 

30.28 

1.034 

4 

181 

1.35 

1 

25 

1867. 

1875. 

100,  Apr.  10 
20 

9.25 
19.22 

0.854 
0.685 

4 
3 

176 
161 

1.13 

0.98 

1 

1 

19 
13 

0 
100 

—0.135 

0.250 

—8.75 
8.47 

—0.394 

0.286 

+8.83 
8.92 

30 

29.19 

0.534 

3 

139 

0.88 

1 

7 

200 

0.363 

8.  IS 

0.177 

H.93 

May  10 

9.17 

0.410 

3 

109 

0.83 

1 

!__        f) 

300 

0.473 

7.70 

—  0.0(i7 

8.87 

20 

19.14 

0.318 

2 

73 

0.84 

0 

—    2 

400 

0.578 

721 

+0.045 

873 

30 

29.11 

0.265 

2 

—  35 

0.87 

0 

5 

1868  B. 

1876  B. 

June  9 

8.08 

0.249 

2 

+    4 

0.94 

0 

7 

19 

18.06 

0.273 

+  1 

44 

1.02 

0 

8 

0 

—0.543 

—7.38 

+0.007 

+8.79 

29 

28.03 

0.337 

r  o 

84 

1.10 

0 

9 

100 

0.645 

6.85 

0.118 

8.61 

July  9 

8.00 

0.440 

0 

121 

1.21 

0 

11 

200 

0.741 

6.27 

0.228 

8.35 

300 

0.831 

5.6^ 

0.336 

8.03 

200,          19 

17.97 

0.578 

—  1 

154 

1.31 

1 

12 

400 

0.913 

4.94 

0.442     7.64 

29 

27.95 

0.747 

1 

185 

1.44 

1 

15 

Aug.  8 

6.92 

0.947 

2 

213 

1.61 

1 

18 

1869. 

1877. 

18 
28 

16.89 

26.87 

1.172 
1.421 

2 
3 

237 
260 

1.80 
2.08 

2 
2 

23 

30 

o 

lOt 

—0.886 
0.963 

—5.17 
445 

+0.406|+7.77 
0.510     7.34 

Sept.  7 
17 

27 

5.84 

15.81 

25.78 

1.692 
1.979 
2.281 

3 
3 
4 

279 
295 
310 

2.41 

2.84 
3.36 

2 
2 

2 

38 
47 
56 

200 
300 
400 

1.03* 
1.091 
1.140 

3.70 
2.91 
2.10 

0.609 
0.703 

6.85 
6.30 
5.69 

Oct.    7 

5.76 

2.598 

4 

321 

3.96 

3 

63 

'    1870. 

1878. 

17 

15.73 

2.921 

4 

326 

4.62 

3 

70 

i 

—1.125 

—2.38 

+0.763 

+5.90 

300,          27 

25.70 

3.249 

4 

328 

5.35 

3 

74 

101 

1.168 

1.56 

0.847 

5.27 

Nov.  6 

4.67 

3.576 

4 

323 

6.09 

4 

75 

200 

1.201 

—0.7; 

0.92f 

4.59 

16 

14.65 

3.894 

4 

313 

6.84 

4 

73 

300 

1.223 

+0.11 

0.99: 

3.86 

26 

24.62 

4.201 

4 

296 

7.54 

5 

67 

400 

1.235 

+0.94 

l.Oofc 

3.11 

Dec.   6 

4.L9 

4.484 

3 

269 

8.16 

5 

58 

1871. 

18 

79. 

16 
26 
36 

14.57 
24.54 
34.51 

4.736 
4.950 
+5.118 

3 
2 
—  1 

234 
192 
+143 

8.69 
9.09 
-  9.34 

6 
6 
—  6 

47 
33 

—  18 

100 
200 

-1.232 
1.237 
1.231 

'+0.66 
1.49 
230 

+1.037 
1.094 
1.142 

+3.37 
2.59 
1.80 

300 

1.215 

'A  flQ 

1  1  8i 

0.98 

400 

1.189     3.85 

1406 

0.16 

1872  B. 

1880  B. 

*  6  ©,                 July  8.6. 

>j<  6  Mean  Sun,    July  9.8. 

0 

—1.1991+3.59 

+  1.2CC  '+0.44 

100 

1.166 

4.33 

1,22.1 

—0.39 

200 

1.123 

5.03 

]«#& 

1.22 

300 

1.071 

5.(i9 

|.§£Ji 

!     2.04 

; 

400—1.011  +6.30  +1.224 

—2.84 

SPECIAL  TABLES. 


131 


TABLE  XXIV.—*  143  Camelopardalis  (B):  Piazzi  vii.  61. 

h    ra                                                     °      ' 

K.A.  7  17.3.                       Dec.  +  68  44. 

Upper  transit  at  fictitious  meridian. 

A0« 

A0<* 

Side- 
real 

AQa 

AryJ 

AoQ« 

Ao<5 

ID 

Day. 

i 

187O. 

Vnr.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.in  Diff.  for 
lOy.       10  d. 

1865. 

8                   " 

1873. 

8                      " 

0 

+0.881 

—8.42 

—1.624+6.19 

100 

0.685 

8.70 

1.478 

6.75 

K 

// 

200 

0.483 

8.91 

1.320 

7.25 

0,Jan.    0 

—  0.47 

+  3.699 

7 

+329 

-  4.53 

—  9 

+237 

300 

0276 

9.03 

1.151 

770 

10   +  9.50 

3.966 

4 

205 

—  2.08 

9 

252 

400 

0.067 

9.08 

0.973 

8.07 

20 

19.47 

4.108 

-  1 

+  77 

+  0.48 

9 

258 

30 

29.44 

4.120 

+  2 

—  52 

3.05 

9 

253 

1866. 

1871. 

j         Feb.    9 

8.42 

4.006 

4 

174 

5.52 

9 

239 

0 

+0.133 

-9.08 

—  1.034+7.95 

19 
Mar.   1 
11 
21 

18.39 
0.36 
10.33 
20.31 

3.776 
3.445 
3.030 
2.558 

7 
9 
11 
13 

284 
377 
447 
494 

7.79 
9.78 
11.40 
12.59 

8 
7 
6 
5 

214 

182 
141 
95 

100 

200 
300 

400 

—0.073 
0.282 
0.489 
0.692 

9.07 

8.99 
8.83 
8.59 

0.851 
0.661 
0.467 
0.268 

8.29 
8.55 
8.74 
8.86 

31 

30.28 

2.051 

14 

516 

13.31 

4 

+  48 

1867. 

1875. 

i  100,  Apr.  10 
20 

9.25 
19.23 

1.535 
1.034 

14 
14 

512 

485. 

1354 
13.28 

2 

—  I 

—    2 

50 

0 
100 

—0.624 
0.823 

—3.68 
8.39 

—0.336 
—0.136 

+8.83 
8.90 

30 

29.20 

0.572 

13 

436 

12.55 

0 

96 

200 

1.015 

8.03 

+0.065 

8.90 

May  10 

9.17 

+  0.168 

13 

370 

11.38 

+  1 

138 

300 

1.198 

7.60 

0.20: 

8.82 

20 

19.14 

—  0.162 

11 

283 

9.81 

2 

174 

400 

1.370     7.10 

0.463 

8.67 

30 

29.12 

0.405 

10 

197 

7.92 

3 

204 

1868  B. 

1876  B. 

June  9 

809 

0.554 

7 

—  99 

5.78 

4 

228 

19 

18.06 

0.602 

5 

+    2 

3.38 

4 

245 

0 

—  1.313 

—7.28 

+0.396  +8.73 

29 
July  9 

28.03 

8.01 

0.550 
0.39& 

+  3 
0 

103 

201 

+  0.83 
—  1.69 

4 
4 

255 

258 

100 
200 

300 

1.477 
1.626 
1.764 

6.74 
6.14 
5.49 

0.592 
0.78-2 
0.966 

8.53 
8.26 
7.93 

200,          19 

17.98 

—  0.150 

—  3 

295 

4.27 

4 

256 

400 

1.835 

4.79 

1.1421    7.53 

29 

27.95 

+  0.189 

6 

382 

6.80 

3 

249 

Aug.  8 

6.92 

0.611 

9 

461 

9.22 

2 

235 

1869. 

1877. 

18 

28 

16.90 
26.87 

1.109 
1.675 

11 
14 

534 
597 

11.49 
13.57 

+  l 

218 
197 

0 
100 

—1.846 
1  956 

—5.03 
4.31 

+1.084 
1.254 

+7.67 
7.23 

Sept.  7 
17 
27 

5.84 
15.82 
25.79 

2.300 
2.975 
3.690 

16 

18 
20 

651 

697 
732 

15.41 
16.98 
18.24 

—  1 
o 

4 

171 
142 

110 

200 
300 
400 

2.048 
2.123 
2.179 

3.55 
2.76 
1.95 

1.414 

1  .563 
1.699 

6.72 
6.16 
5.55 

Oct.    7 

5.76 

4.435 

21 

756 

19.17 

5 

75 

187O. 

1878. 

17 

15.73 

5.198 

23 

763 

19.74 

7 

—  38 

0 

—2.162|—2.23 

+1.6561+5.76 

;  300,       27 

25.71 

5.966 

23 

767 

19.92 

9 

+    2 

100 

2.205)     1.41 

1.7811    5.12 

Nov.  6 

4.68 

6.726 

23 

749 

19.70 

10 

43 

200 

2.229|—0.58 

1.894 

4.43 

16 

14.65 

7.45<J 

2S 

715 

19.06 

12 

84 

300 

2.234+0.26 

1.991 

3.71 

26 

24.62 

8.15( 

2-2 

664 

18.02 

14 

124 

400 

2.2-201     1.09 

2.072!    2.95 

Dec.   6 

4.60 

8.780 

20 

593 

16.59 

15 

162 

1871. 

1879. 

16 

20 
36 

1457 
24.54 
34.52 

9.331 

9.785 
+10.128 

19 
16 
—14 

505 
401 

+283 

14.80 
12.70 
—10.36 

16 
17 

—18 

196 
223 
+244 

0 
100 
200 

—2.227 
2.200 
2  154 

+0.81 
1.63 
2.43 

+2.047 
2.116 
2.166 

+3.21 
2.43  i 
1.63 

300 

2.091 

3.22 

2.202 

4-0.81 

400 

2.009     3.97 

2.218 

r  v*k->  • 
—0.01 

1873  B. 

18SO  B. 

#60,                 July  9.8. 

5Jc  6  Mean  Sun,     July  11.1. 

.    0 

—2.039 

+3.7-2 

+2.215+0.27 

^c  8  Mean  Sun,    Jan.  9.5. 

100 

1.946 

4.45 

2.2181—0.56 

200 

1.837 

5.14 

2.203     1.38 

300      1.714 

5.79 

2.168     x»t>() 

400  —1.576+6.39  +2.116J—  2.1)9 

132 


SPECIAL  TABLES. 


TABLE  XXIV.-4*  Geminorum. 

h    m                                                    o      / 

K.A.  7  45.5.                       Dec.  +27    6. 

Upper  transit  at  fictitious  meridian. 

AQa 

AQd 

' 

Side- 
real 

A^a 

A    d 

AQ« 

Ary) 

_ 

)ay. 

Icuii  .Dtty. 

1S7O. 

Var.  iu 
10  y. 

Diff.  for 
10  d. 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d.' 

1865. 

8                     " 

1873. 

8                    " 

0 

+0.647 

—8.53 

—1.030+6.66 

100 

0.541 

8.73 

0.957 

7.14 

8 

// 

200 

0.431 

8.85 

0.876     7.57 

0,  Jan,  0 

~  0.46 

+1.474 

—  2 

+203 

—  4.55 

—  2 

—    7 

300 

0.316 

8.89 

0.789     7.93 

10 

+  9  52 

1.652 

—  1 

152 

4.53 

3 

+  12 

400 

0.199 

8.86 

0.696     8.23 

20 

19.49 

1.777 

0 

97 

4.32 

3 

29 

30 

29.46 

1.845 

0 

+  39 

3.98 

3 

43 

1866. 

1874. 

Feb.   9 

8.43 

1.856 

+  1 

—  16 

3.47 

3 

54 

0 

+0.238 

—8.88 

—0.728+8.14 

19 
Mar.    1 
11 
21 

18.41 

0.38 
10.35 
20.35 

1.815 

1.726 
1.599 
1.441 

2 
2 
2 
3 

66 
109 
144 
168 

2.89 
2.26 
1.63 
1.05 

3 
3 
3 
3 

60 
63 
61 
54 

100 
200 
300 
400 

+0.120 
0.000 
—0.120 
0.239 

8.80 
8.63 
8.40 
8.09 

0.631 
0.528 
0.422 
0.312 

8.39 

8.57 
8.68 
8.72 

31 

30.30 

1.266 

3 

181 

0.55 

2 

46 

1867. 

1875. 

100,  Apr.  10 
20 

9.27 
19.24 

1.083 
0.904 

3 

3 

183 
173 

—  0.14 

+  0.15 

2 
2 

36 
23 

0 
100 

-0.199 
0.317 

—8.20 

7.84 

—0.3491+8.71 
0.237     8.71 

30 

29.22 

0.739 

3 

155 

0.32 

2 

+  10 

200 

0.4:52 

7.41 

0.124 

8.63 

May  1.0 

9.19 

0.596 

3 

130 

0.36 

—     1 

300 

0.543 

6.92 

—0.010 

8.48 

20 

19.16 

0.481 

3 

98 

0.30 

11 

400 

0.649 

6.37 

+0.105     8.26 

30 

29.13 

0.401 

2 

63 

+  0.14 

21 

1868  B. 

1876  B. 

June  9 

8.11 

0.356 

2 

—  24 

—  0.10 

29 

19 

18.08 

0.353 

1 

+  15 

0.43 

37 

0 

—0.613 

—6.56 

+0.066 

+8.34 

29 

28.05 

0.386 

+  1 

52 

0.83 

1 

43 

100 

0.716 

5.97 

0.1  80 

8.07 

July  9 

8.03 

0.457 

0 

90 

1.29 

0 

48 

200 

0.812 

5.33 

0.293 

7.74 

300 

0.900 

4.65 

0.403 

7.34 

200,           19 

18.00 

0.565 

0 

126 

1.78 

0 

52 

400 

0.981 

3.93 

0.510 

6.89 

29 

27.97 

0.708 

—  1 

158 

2.32 

0 

56 

Aug.  8 

6.94 

0.881 

1 

189 

2.90 

1 

61 

1869. 

1877. 

18 

28 

16.92 

26.89 

1.085 
1.315 

2 
2 

217 

244 

3.54 
4.24 

1 

67 
73 

0 
100 

—0.9541—4.17 
.0301    3.43 

+0.474+7.04 
0.578     6.55 

Sept.  7 
17 
27 

5.86 
15.83 
25.81 

1.572 

1.850 
2.150 

3 

4 
4 

268 
289 

308 

5.00 
5.80 
6.66 

2 

2 
2 

79 

84 
89 

20( 
300 

400 

.095     2.65 

.151      1.86 
.197)     1.05 

0.678 
0.772 
0.860 

5.99 
5.39 
4.75 

Oct.    7 

5.78 

2.465 

5 

323 

7.57 

2 

93 

187O. 

1878. 

17 

15.75 

2.796 

5 

337 

8.51 

3 

94 

0 

—  .183 

—1.32 

+0.831 

+4.97 

::00,          27 

25.72 

3.  133 

5 

345 

9.45 

3 

93 

100 

222 

—051 

0.915 

4.29 

Nov.  6 

4.70 

3.484 

5 

346 

10.37 

4 

89 

200 

.251 

+0.31 

0.99! 

3.58 

16 

14.67 

3.828 

5 

340 

11.23 

4 

82 

30C 

.268     1.12 

1.059 

2.84 

26 

24.64 

4.J62 

5 

327 

12.00 

5 

71 

400 

.275|     1.92 

1.118 

2.07 

Dec.   6 

4.62 

4.480 

5 

304 

12.64 

5 

56 

1871. 

1879. 

16 
26 
36 

14.59 
24.56 
34.53 

4.768 
5.022 

4 
3 
—  2 

272 

233 
+185 

13.11 
13.40 
—13.49 

6 

7 
—  8 

38 
—  20 
0 

0 
100 
200 

—  .2741+1.65 
.273     2.44 
1.262     3.2 

+1.099+2.33 
1.153J     J.55 
1.197+0.75 

300 

1.24( 

3.94 

1.231—0.05 

400 

1.20c 

4.64 

1.255     0.80 

1872  B. 

1880  B. 

*  6  0,                 July  16.8. 

>JC  d  Mean  Sun,     July  18.2. 

0 

—1.220+4.41 

+1.248 

-0.59  ! 

100 

1.181,    5.09 

1.285 

1.39 

20( 

1.132,    5.72 

1.271 

2.19  1 

300 

1.073     6.30 

1.26( 

2.97  ' 

40( 

—1.006+6.82 

+  1.251 

—3.72 

'i                                                          i 

SPECIAL  TABLES. 


133 


TABLE  XXIV.-*3  Ursse  Majoris  (H). 

h    m                                                    ° 

R.A.  7  59.8.                      Dec.  +  68  51. 

Upper  transit  at  fictitious  meridian. 

A0a 

'Side- 
A0o                   j  real 

AQa 

A^ 

Aa« 

AQcJ 

.. 

\ls 

I  Day. 

1S70. 

Var.inDiff.for 
10  y.       10  d. 

187O. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                    " 

1873. 

8                      " 

0 

+0.610 

—8.54 

—1.420 

+6.85 

j 

1 

100 

0.406 

8.69 

1.257 

7.30 

I 

s 

l 

200 

+0.199 

8.7? 

1.084 

7.68 

0,J<m.    0 

—  0.44 

+3.512 

—11  '+433 

—  7.90  !—  8 

+211 

300 

—0.011 

8.7? 

0,90-2 

8.01 

10 

+  9.53 

3.887 

9       315 

5.65  !      9 

237 

400 

0.220 

8.7C 

0,713 

8.26 

20 

19.50 

4.139 

6       183 

3.19 

9 

254 

30 

29.47 

4.262 

4   +  57 

—  0.61 

9 

261 

1866. 

1874. 

Feb.   9 

8.45 

4.254 

—  1 

—  71 

+  1.99 

9 

257 

0 

—0.148 

—8.73 

—  0,778'+8.18 

19 
Mar.   1 
11 
21 

18.42 

0.39 
1036 
20.34 

4.122 

3.875 
3.531 
3.110 

+  2 
5 

7 
9 

192 

298 
386 
452 

450 
6.82 
8.84 
10.51 

9 

8 

1 

243 
219 
186 
145 

100 

20t; 

300 

400 

0.358 
0.564 
0.765 
0.959 

8.61 
8.41 

8.13 

7.79 

0.586 
0.389 
—0.189 
+0.012 

8.39 
8.53 

8.60 
8.60 

31 

SO.  31 

2.635 

11 

494 

11.74 

5 

100 

1867. 

1875. 

100,  Apr.  10 
20 

9.28 
19.26 

2.130 
1.621 

12 
13 

511. 

504 

12.50 
12.76 

4 
3 

52 
+    2 

C 
100 

-0.894 
1.083 

—7.91 
7.52 

—0.056+8.61 
+0.145,    8.56 

30 

29.23 

1.129 

13 

475 

12.54 

—  1 

—  47 

200 

1.262 

7.06 

0.344     8.44 

May  10 

9.20 

0.677 

13 

426 

11.84 

0 

93 

300 

1.430 

6.54 

0.5411     8.25 

20 

19.17 

+0.283 

12 

361 

10.69 

H-  i 

136 

400 

1.585 

5.9? 

0.732 

7.99 

30 

29.15 

—0040 

11 

283 

9.13 

2 

174 

1868  B. 

1876  B. 

June  9 

8.12 

0.280 

9 

196 

7.23 

3 

206 

19 

18.09 

0.429 

7 

103 

5.04 

3 

232 

0 

—1.535 

-6.1? 

+0.688 

+8.09 

29 

28.06 

0.484 

5 

—    7 

2.62 

4 

251 

IOC 

1.681 

5.56 

0.858 

7.78 

July  9 

8.04 

0.443 

+  2 

+  89 

4-0.04 

4 

264 

200 
300 

1.812 
1.92? 

4.90 

420 

1.03? 
1.210 

7.42 
6.99 

200,          19 

18.01 

0.306 

—  1 

183 

—  2.65 

4 

271 

400 

2.025 

3.47 

1.372     6.51 

29 

27.98 

—0.078 

4 

273 

5.37 

4 

273 

Aug.  8 

6.95 

+0.238 

6 

359 

8.08 

3 

268 

1869. 

1877. 

18 
28 

16.93 
26.90 

0.638 
1.113 

10 
12 

438 
511 

10.71 
13.23 

3 
2 

258 
244 

0 
100 

—1.994 

2.080 

—3.72 
2.9? 

+1.318 
1.474 

+6.68 
6.16 

Sept.  7 
17 

27 

5.87 
15.85 
25.82 

1.658 
2.266 
2.927 

15 

18 
20 

578 
636 
686 

15.57 
17.70 
19.56 

+  1 

0 
2 

224 

200 
172 

200 
300 

400 

2.148 
2.19? 
2.22? 

2.19 
1.40 
0.59 

1.61? 
1.74? 
1.863 

5.58 
4.98 
4.30 

Oct.    7 

5.79 

3.634 

22 

726 

21.13 

3 

140 

187O. 

1878. 

17 

15.76 

4.375 

24 

755 

22.34 

5 

103 

0 

—2.2191—0.86 

+1.826 

+4.52 

300,          27 

25.74 

5.139 

26 

771 

23.18 

6 

64 

100 

2.237—  O.Ob 

1.932 

3.84 

Nov.  6 

4.71 

5.912 

27 

772 

23.61 

8 

—  21 

200 

2.235  +0.75 

2.02*2 

3.12 

16 

14.68 

6.678 

27 

756 

23.61 

9 

+  23 

300 

2.213 

1.55 

2.096 

237 

26 

24.65 

7.418 

27 

721 

23.15 

11 

68 

400 

2.173 

2.33 

2.152 

1.60 

Dec.   6 

4.63 

8.113 

26 

667 

22.25 

12 

112 

1871. 

1879. 

16 

26 
36 

14.60 
24.57 
34.55 

8.744 
9.291 
+9.737 

26 
24 
—22 

592 
499 
+391 

20.92 
19.20 
—17.13 

14 
15 
—16 

154 
191 

+222 

0 
100 
200 

—2.188 
2.136 
2.065 

+2.07 

2.84 
358 

+2.13." 

2.180 
2.206 

+1.86 
1.08 
+0.29 

300 

1.977 

A  9Q 

2.215 

y.51 

400 

1.873     4^96 

2/204 

1.30 

1872  B. 

188O*B. 

*  8  Mean  Sun,     Jan.  20.3. 

*  6  0,                  July  20  3. 

C 

—1.910 

+4.74 

+2.210 

—1.04 

^C  6  Mean  Sun,     July  21.9. 

100 

1.795 

5.38! 

2.187 

1.83 

200 

1.665 

5.9? 

2.148 

2.60 

300 

1.522 

6.5^ 

2.080 

3.36 

400 

—1.368 

+7.01 

+2.001) 

—4.09 

134 


SPECIAL  TABLES. 


.      TABLE  XXIV.—  15  Argus. 

h    m                                                     °      ' 

K.A.  8    2.0.                       Dec.  —  23  56. 

Upper  transit  at  fictitious  meridian. 

A0a 

A0<J 

Side- 
real 

AQa 

AQ<5 

A^a 

Ap<5 

. 

Day. 

oiucrcul  Day. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff  for 
10  d. 

1865. 

8                    " 

1873. 

8                    " 

0 

+0.641 

—8.54 

—0.8311+6.88  i 

i 

100 

0.580 

8.68 

0.799 

7.32 

i 

// 

200 

0.513 

8.76 

0.760 

7.70 

0,  Jan.    0 

—  0.44 

+1.409 

0 

+174 

+  1.31 

+  2 

—288 

300 

0.442 

8.75 

0.715 

8.02 

10 

+  9.53 

.559 

0 

125 

—  1.56 

2 

284 

400 

0.368 

8.67 

0.664 

8.26 

20 

19.50 

.659 

0 

74 

4.34 

2 

270 

30 

2947 

.707 

+   1 

+  20 

6.94 

2 

250 

1866. 

1874. 

Feb.  9 

8.45 

.700 

1 

—  32 

9.32 

1 

225 

0 

+0.393 

—8.70 

—  0.682J+8.19 

19 
Mar.  1 
11 
21 

18.42 
0.39 
10.36 
20.34 

.645 
.546 
1.409 
1.247 

2 

2 
2 
2 

78 
119 
151 
174 

H.42 
13.21 
14.66 
15.76 

+  I 
0 
0 
—  1 

195 

162 

128 
91 

100 
200 
300 
400 

0.316 
0.236 
0.154 
0.071 

8.57 
8.36 

8.08 
7.73 

0.627 
0.568 
0.504 
0.436 

8.39 

8.52 
8.59 
8.58 

31 

30.31 

1.064 

2 

188 

16.48 

1 

53 

1867. 

1875. 

!  100,  Apr.  10 
20 
30 

9.28 
19.26 
29.23 

0.873 
0.683 
0.501 

3 
3 
3 

192 

187 
174 

16.83 
16.83 
16.48 

2 
2 

2 

—  17 

+  1ft 
53 

0 
100 

200 

+0.099 
+0.015 
—0.069 

—7.86 
7.46 
7.00 

—0.459+8.59 
0.389     8.54 
0.315     8.41 

May  10 

9.20 

0.336 

3 

155 

15.78 

2 

87 

300 

0.152 

6.48 

0.239 

822 

20 

19.17 

0.192 

3 

131 

14.75 

2 

117 

400 

0.234 

5.90 

0.161 

7.96 

30 

29.15 

+0.075 

2 

101 

13.43 

2 

145 

1868  B. 

1876  B. 

June  9 

8.12 

—0.010 

1 

68 

11.84 

3 

171 

19 

18.09 

0.061 

1 

35 

10.02 

3 

191 

0 

—0.206 

—6.10 

—0.188 

+8.05  ! 

29 

July  9 

28.06 
8.04 

0.079 
0.064 

0 

—     1 
+  33 

8.03 
5.91 

3 
3 

206 
217 

100 
200 
300 

0.287 
0.365 
0.439 

5.49 

4.83 
4.13 

0.109 
—0.029 
+0053 

7.75 

7.38 
6.95 

200,          19 

18.01 

^0.013 

0 

68 

371 

4 

220 

400 

0.810 

339 

0.131 

6.46 

29 

27.98 

+0.072 

0 

102 

—  1.54 

3 

215 

Aug.  8 

6.95 

0.191 

0 

135 

+  0.57 

3 

204 

1869. 

1877. 

28 

1693 

26.90 

0.341 
0.523 

—  1 

1 

166 
197 

2.52 
4.24 

3 
3 

185 
157 

0 
100 

-0.487 
0.554 

—3.64 

2.89 

+0.104+6.63 
0.184J     6.10 

Sept.  7 
17 

27 

5.87 
15.85 
2582 

0.734 
0.972 
1.234 

to  to  to 

225 
250 
273 

5.64 
6.67 

7.28 

3 
3 
3 

122 

83 
+  39 

200 
300 
400 

0.617 
0.674 
0.725 

2.11 
1.32 
0.52 

0.261      5.53 
0.3371     4.91 
0.410[     4.24 

Oct.    7 

5.79 

1.518 

o 

293 

7.44 

3 

—  10 

1870. 

1878. 

17 

15.76 

1.819 

2 

308 

7.03 

2 

60 

0 

—0.7081—0.79 

+0.3861+4.47 

300,          27 

25.74 

2.132 

2 

317 

6.24 

2 

109 

100 

0.755+0.02 

0.457 

3.78 

Nov.  6 

4.71 

2.450 

3 

318 

4.91 

156 

200 

0.796!    0.82 

0.525 

3.06  , 

16 

14.68 

2.766 

2 

313 

3.14 

198 

300 

0.829     1.61 

0.588 

2.31 

26 

24.65 

3.073 

2 

299 

+  098 

232 

400 

0.8o5j    2.39 

0.647 

1.54 

Dec.  6 

4.63 

3.381 

2 

275 

—  1.48 

259 

i 
i 

1871. 

1879. 

16 
26 
36 

14.60 
24.57 
34.55 

3.621 
3.846 
+4.026 

1 
—  1 

0 

244 

204 
+157 

4.17 
7.01 
—  9.90 

_ 

278 
288 
—287 

0 
100 
200 

—  0.8471+2.13 
0.869     2.90 
0.882     3.63 

+0.6271+1.81 
0.683     1.03 
0.732+0.23 

300 

0.889     4.34 

400 

0.8J3J    1735 

• 

1872  B. 

1880  B. 

*  6  0,                 July  20.9. 
:jc  6  Mean  Sun,     July  22.4. 

0 

—  0.889'+4.78 

_}_0.801  —1.09 

. 

100 

0.883     5.421 

0.834 

1.87 

200 

0.869     6.01 

0.860 

2.65 

300 

0.848     6.551 

0.878 

3.40 

400 

—0.821  +7.03 

+0.890—4.12 

SPECIAL  TABLES. 


135 


TABLE  XXIV.—  e  Hydrae. 

h    m                                                       o      / 

R.A.  8  39.9.                       Dec.  +  6    54. 

Upper  transit  at  fictitious  meridian. 

A0a 

A0<5 

Side- 
real 

AQa 

A    J   A    a 

AQJ 

Day. 

1 

Siucrcftl  Duy. 

.'iCciu  Dsy. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                   " 

1873. 

8                       " 

0 

+0.621 

—  8.38 

—0929 

+7.25 

100 

0.533 

8.41 

0.872 

7.58 

8 

H 

200 

0.440 

8.37 

0.808 

7.85 

0,Jan.    0 

-  0.42 

+1.193 

—  2 

+225 

—  3.10 

0 

-148 

300 

0.344 

8,25 

0.737 

8.05 

10 

+  9.55 

1.397 

2 

182 

4.51 

0 

132 

400 

0.244 

8.06 

0.660 

8.18 

20 

19.53 

1.556 

—  1 

135 

573 

—  1 

112 

30 

29.50 

1.666 

0 

85 

6.75 

1 

92 

1866. 

1874. 

Feb.    9 

8.47 

1.725 

0 

+  34 

7.56 

1 

70 

0 

+0.278 

—8.13 

—06861+8.14 

19 
Mar.    1 

18.45 
0.42 

1.734 
1.696 

+  1 

-  15 

58 

8.15 
8.53 

1 
2 

49 
29 

100 
200 

0.176 

+0.073 

7.89 
7.58 

0.606 
0.521 

8.23 

825 

11 
21 

10.39 
20.36 

1.619 
1.510 

2 
2 

94 

122 

8.74 
8.78 

2 
2 

—  12 

+    4 

300 
400 

—0.030 
0.133 

7.21 

6.78 

0.432 
0.339 

8.20 
8.09 

31 

30.34 

1.378 

2 

141 

8.67 

2 

16 

1867. 

1875. 

i  100,  Apr.  10 
20 
30 
May  10 
20 

9.31 
19.28 
29.25 
9.23 
19.20 

1.230 
1.079 
0.930 
0.793 
0.672 

2 
3 
3 
3 
3 

151 
151 
144 
130 
111 

8.46 
8.14 
7.76 
7.31 
6.81 

3 
3 
3 
3 
2 

26 
35 
42 

48 
52 

0 
100 
200 
300 
400 

—0.099;—  6.93 
0.201     6.45 
0.302)    5.92 
0.400     5.34 
0.495)    4.71 

—0.370 
0.275 
0  179 
—0.081 
+0.01& 

+8.13 
797 
7.75 
7.46 
7.11 

30 

29.17 

0.573 

2 

87 

6.27 

2 

56 

1868  B. 

1876  B. 

June  9 

8.14 

0.500 

2 

59 

5.69 

2 

59 

19 

18.12 

0.456 

1 

31 

5.10 

2 

60 

0 

—0.463 

—4.93 

—  0.016|+7.23 

29 

28.09 

0.439 

1 

—    2 

4.50 

2 

60 

100 

0.555 

4.27  +0.063 

6.84 

July   9 

8.06 

0.452 

1 

+  27 

3.91 

2 

58 

200 

0.642 

3.58 

0.181 

6.40 

300 

0.723 

2.86 

0.278 

590 

200,          19 

18.04 

0.494 

+  I 

57 

3.35 

2 

53 

400 

0.797 

2.11 

0.372 

5.35 

29 

28.01 

0.566 

0 

87 

2.85 

2 

46 

Aug.  8 

6.98 

0.668 

0 

115 

2.44 

2 

35 

1869. 

1877. 

18 

28 

16.95 
26.93 

0.796 
0.952 

—  1 
1 

142 

169 

2.15 
2.01 

1 
1 

22 

+    6 

0 
100 

—0.773 
0.843 

-2.36 
1.60 

+0.341 
0.433 

+5.54 
4.96 

Sept.  7 
17 
27 

5.90 
15.87 
25.84 

1.134 
1.344 
1.577 

2 
3 
3 

196 
222 
246 

2.04 
2.29 
2.76 

1 
1 

2 

—  14 
36 

58 

200 
300 
400 

0.905 
0.959 
1.005 

0.84 
—0.06 
+0.72 

0.522 
0.607 

0.688 

4.34 

3.68 
2.99 

Oct.    7 

5.82 

1.836 

4 

269 

3.46 

2 

82 

187O. 

1878. 

17 

15.79 

2.114 

4 

289 

4.40 

2 

106 

0 

—  0.991  1+0.4C 

+0.661+3.23 

300,          27 

25.76 

2.412 

4 

305 

5.57 

2 

127 

100 

1.03! 

123 

0.73S 

2.52 

Nov.   6 

4.74 

2.723 

4 

315 

6.91 

2 

145 

200 

1.062 

1.96 

0.808 

1.79  i 

16 

14.71 

3.041 

4 

319 

8.44 

2 

159 

300 

1.084 

2.7*2 

0.872 

1.05  ; 

26 

24.68 

3.359 

4 

315 

10.07 

2 

167 

400 

1.096 

3.43 

0.925 

0.29  ; 

Dec.    6 

4.65 

3.669 

3 

302 

11.76 

3 

169 

1871. 

1879. 

16 
26 
36 

14.63 
24.60 
34.57 

3.961 
4.228 
+4.460 

3 
3 

—  2 

280 
251 
+212 

13.44 
15.06 
—16.55 

3 
3 
—  4 

166 
156 
—142 

0 
100 
200 

q/v, 

—  .093 
.099 
.096 

+3.19 
3.89 
4.5s 

ft     l  £? 

+0.911+0.55 
0.963—0.21 
1.007     0.98 
1  04S      "*  /1>o 

OUU 

400 

!063 

O.  J  O 

5.73 

1.070 

l.«U 

2.47 

1872  B. 

1880  B. 

*  6  0,                  July  30.5. 

4c  6  Mean  Sun,     Aug.  1.0. 

0 

—  .071 

+5.54 

+1.061 

—2.22 

100 

.044 

6.06 

1.083 

2.95 

200 

.007 

6.57 

1.C95 

3.66 

300 

0.963 

7.00 

1.096 

4.34 

400 

—0.911 

+7.37 

+1.092 

—4.98 

136 


SPECIAL  TABLES. 


TABLE  XXIV.-*  Ursac  Majoris. 

h    m                                                  °      ' 

E.A.  8  50.3.                       Dec.  +  48  33. 

Upper  transit  at  fictitious  meridian. 

Aoa 

' 

AQrf 

Side- 
real 

AQa 

A    6 

A^a 

A^ 

Sidereal  Day. 

Me  uii  Duy  . 

Day. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1S70. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                     " 

1873. 

8                    " 

0 

+0.482 

—8.30 

—1.018+7.32 

100 

0.346 

8.30 

0.911 

7.62 

8 

// 

200 

0.206 

8.2-2 

0.798 

7.85 

0,  Jan.  0 

—  0.41 

+1.711 

—  5 

+332 

—  9.89 

—  4 

+  73 

300 

+0.064 

8.07 

0.677 

8.02 

10 

+  956 

2.015 

4 

.273 

8.99 

4 

107 

400 

—0.078 

7.85 

0.552 

8.12 

20 

19.53 

2.254 

3 

205 

7.77 

5 

136 

30 

29.51 

2.423 

3 

132 

6.29 

5 

158 

1866. 

1874. 

Feb.   9 

8.48 

2.517 

2 

+  57 

4.63 

5 

174 

0 

-0.030 

—7.94 

—0.595|+8.09 

19 

18.45 

2.538 

—  1 

—  15 

2.84 

5 

181 

100 

0.173 

7.67 

0.467 

8.15 

Mar.   1 

0.42 

2.489 

+  1 

81 

—  1.03 

5 

180 

200 

0.313 

7.34 

0.335 

8.14 

11 
21 

10.40 
20.37 

2.378 
2.214 

2 

2 

139 
186 

+  0.73 
2.35 

6 
5 

170 
153 

300 
400 

0.451 

0.586 

6.94 
6.48 

0.200 
0.064 

8.06 
7.91 

31 

30.34 

2.010 

3 

218 

3.77 

4 

129 

1867. 

1875. 

100,  Apr.  10 
20 
30 
May  10 
20 

9.32 

19.29 
29.26 
9.23 
19.21 

1.781 
1.539 
1.295 
1.664 

0.854 

3 

4 
4 
5 
5 

237 
245 
239 
222 
196 

4.91 

5.76 

6.27 
6.44 
6.27 

4 
4 
3 

2 
2 

100 

68 
+  34 

34 

0 
100 
200 
30G 
400 

—0.541 
0.672 
0.797 
0.915 
1.025 

-6.64 
6.15 

5.60 
5.00 
4.36 

—0.110 
+0.026 
0.162 

0.296 
0.428 

+7.97 
7.78 
7.53 
7.21 
6.84 

30 

29.18 

0.674 

4 

162 

5.77 

—  1 

67 

1868  B. 

1876  B. 

June  9 

8.15 

0.532 

3 

123 

4.94 

0 

98 

19 

18.12 

0.430 

3 

80 

3.83 

0 

124 

0 

—0.989 

—4.58 

+0.3841+6.97 

29 

28.10 

0.373 

2 

—  34 

2.48 

+  1 

147 

100 

1.092 

3.91 

0.514 

6.56 

July    9 

8.07 

0.362 

2 

+  13 

+  0.90 

167 

200 

1.186 

3.22 

0.639 

6.10 

300 

1.270 

2.49 

0.760 

5.58 

200,          19 

18.04 

0.398 

+  1 

59 

—  0.84 

1 

183 

400 

1.342 

1.75 

0.874 

5.02 

29 

28.02 

0.480 

0 

104 

2.74 

1 

196 

Aug.  8 

6.99 

0.6C5 

—  1 

147 

4.74 

2 

205 

1869. 

1877. 

18 

16.96 
26.93 

0.774 

0.985 

2 
3 

1-90 
232 

6.82 
8.93 

I 

1 

210 
214 

C 

100 

—1.3191—1.99 
1.384      1.24 

+0.836 
0.946 

+5.20 
4.61 

Sept.  7 
17 

27 

5.91 

15.88 
25.85 

1.238 
1.530 

1.858 

4 

5 
6 

273 

310 
346 

11.08 
13.18 
15.22 

+  1 
0 
0 

213 

208 
200 

200 
300 
400 

1.436-0.47 

1.476+0.29 
1.503!     1.05 

1.047 
1.141 
1.225 

3.98 
3.32 
2.63 

Oct.    7 

5.82 

2.221 

7 

379 

17.16 

0 

188 

1870. 

1S78. 

17 

15.80 

2.615 

8 

409 

18.97 

] 

172 

0 

—1.495 

+0.80 

+1.197 

+2.86 

3CO,          27 

25.77 

3.037 

9 

433 

20.59 

2 

151 

100 

1.514 

1.55 

1.275 

2.16 

Nov.  6 

4.74 

3.478 

10 

448 

21.98 

3 

125 

200 

1.519 

229 

1.342 

1.43 

16 

14.72 

3.930 

10 

454 

23.  C8 

4 

96 

300 

1.511 

3.01 

1.399 

+0.69 

26 

24.69 

4.383 

10 

450 

23.89 

5 

63 

400 

1.490 

3.70 

1.443 

—0.06 

Dec.  6 

4.66 

4.826 

11 

435 

24.33 

6 

-  26 

1871. 

1879. 

16 
26 
36 

14.63 
24.61 

34.58 

5.248 
5.635 
+5.974 

10 
9 

-  8 

407 
365 
+311 

24.41 

24.10 
—23.42 

7 
8 
—  8 

+  12 

50 
+  85 

0 
100 
200 

onn 

—1.499 
1.469 
1.428 

+3.47 
4.14 
4.77 

P.    Oft 

+1.430 
1.406 
1.49J 

+0.19 
—0.56 
1.31 

o  nr 

ouu 

400 

L3C9 

O.oD 

5.91 

lieOSl    2^77 

* 

1872  B. 

188OB. 

*  6  0,                 Aug.  2.2. 

5jc  6  Mean  Sun,     Aug.  3.7. 

0 

—1.332 

+5.73 

+1.505—2.53 

100 

1.260 

6.24 

1.496 

3.24 

200 

1.177 

6.69 

1.475 

3.92 

300 

1.085 

7.09 

1.441 

4.58 

400 

—0.984 

+7.43 

+1.395—5.19 

SPECIAL  TABLES. 


137 


TABLE  XXIV.—  *<7-  Ursffi  Majoris. 

h    m                                                    01 

E.A.  8  58.9.                      Dec.  +  67  40. 

Upper  transit  at  fictitious  meridian. 

Sidcrcsl  Dsy* 

JICcinJDBV. 

A0a 

A0<* 

Side- 
real 
Day. 

Aaa 

W 

AQa 

Aa* 

1S7O. 

Var.inDiff.for 
11)  y.       10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8 

1873. 

8                      " 

0 

+0.258—8.22 

—  1.092+7.37 

| 

100 

+0.059     8.19 

0.920 

7.64 

8 

// 

200 

—0.141      8.09 

0.741 

7.84 

0,Jan.    0   —  0.40 

+2.876 

—13 

+533 

—12.07 

—  6 

+154 

300 

0.339     7.91 

0.557J    7.98 

10   +  9.57 

3.361 

12 

435 

10.33 

7 

194 

400 

0.536     7.67 

0.369(    8.05 

20 

19.54 

3.741 

11 

323 

8.22 

7 

226 

30 

29.51 

4.005 

9 

203 

5.85 

8 

248 

1866. 

1874. 

Feb.   9 

8.49 

4.146 

7 

+  79 

3.30 

9 

261 

0 

—0.470 

—7.76 

—0.433  +8.04 

19 
Mar.  1 
11 
21 

18.46 
0.43 
10.40 
20.38 

4.164 
4.065 
3.857 
3.557 

4 

—  2 

+  1 
3 

—  42 
156 

257 
340 

—  0.67 
+  1.91 
4.34 
6.53 

8 
8 
8 
7 

262 
252 
232 

203 

100 
200 
300 
400 

0.663 
0.851 
1.031 
1.203 

7.47 
7.12 

6.70 
6.23 

0.242 
—0.050 
+0.142 
0.333 

806 
8.03 
7.92 
7.75 

31 

30.35 

3.183 

5 

404 

8.38 

6 

166 

1867. 

1875. 

100,  Apr.  10 
20 

9.32 
19.30 

2.756 
2.299 

6 

8 

446 

466 

9.82 
10.81 

5 

4 

123 
76 

0 
100 

—1.146 
1.310 

—6.40 
5.89 

+0.269 
0.457 

+7.82 
7.61 

30 

29.27 

1.832 

9 

465 

11.33 

3 

+  26 

200 

1.463 

5.32 

0.642 

7.33 

May  10 

9.24 

1.375 

9 

444 

11.34 

—  2 

—  23 

300 

1.603 

4.71 

0.821 

7.00 

20 

1921 

0.949 

1C 

406 

10.87 

0 

71 

400 

1.729 

4.07 

0.994 

6.60 

30 

29.19 

0.568 

9 

354 

9.94 

0 

115 

1868  B. 

1876  B. 

June  9 
19 

8.16 
18.13 

+0.245 
—  O.OJO 

9 

8 

290 
218 

8.57 
6.82 

+  1       157 
2       193 

0 

-1.688 

-4.29 

+0.936 

+6.74 

29 

28.10 

0.189 

7 

140 

4.72 

3 

224 

100 

1.804 

3.62 

1.103 

6.31 

July  9 

8.08 

0.288 

5 

—  58 

+  2.35 

4 

250 

200 

1.904 

2.91 

1.261 

5.83 

300 

1.987 

2.19 

1.409 

5.30 

200,          19 

18.05 

0.304 

+  3 

+  26 

—  0.26 

4 

270 

400 

2.052 

1.44 

1.545 

4.73 

29 

28.02 

0.236 

0 

109 

3.02 

4 

283 

Aug.  8 

6.99 

—0.086 

—  2 

191 

5.90 

4 

291 

1869. 

1877. 

18 

28 

16.97 
26.94 

+0.145 
0.455 

5 

7 

271 
348 

8.83 
11.75 

4 
3 

293 
290 

0 
100 

—  2,032—  1.7C 
2.086!    0.94 

+1.501 
1.628 

+4.93 
4.33 

Sept.  7 
17 

27 

5.91 

15.89 
25.86 

0.839 
1.296 

1.818 

10 
13 
16 

421 

490 
554 

14.61 
17.36 
19.93 

3 
2 

+  1 

281 
267 
247 

200 
300 
400 

2.122—  0.1  ft 
2.138+0.57 
2.137|    1.33 

1.743 
1.843 
1.929 

3.69 
3.02 
2.33 

Oct.    7 

5.83 

2.401 

18 

611 

22.27 

0       221 

1S7O. 

1878. 

17 

15.80 

3.038 

21 

660 

24.34 

—  1        190 

0 

—2.139+1.07 

+1.902 

+2.56 

300,          27 

25.78 

3.718 

23 

698 

26.06 

3 

154 

100 

2.125 

1.82 

1.9?? 

1.85 

Nov.  C 

4.75 

4430 

25 

723 

27.41 

4 

114 

200 

2.093 

2.54 

2.035 

1.13 

16 

14.72 

5.160 

26 

734 

28.32 

5 

69 

300 

2.043 

3.24 

2.07?  +0.39 

26 

24.69 

5.892 

27 

727 

28.77 

7 

—  21 

400 

1.975 

3.9-2 

2.102—0.35 

Dec.  6 

4.67 

6.607 

28 

700 

28.73 

8   4-  29 

1871. 

1879. 

16 
26 
36 

14.64 
24.61 
34.59 

7.285 
7.905 
+8.448 

28 
27 
—26 

652 

585 
+496 

28.19 
27.16 
—25.68 

9 
11 
—11 

79 
126 
+169 

0 
100 
200 

—2.000 
1.921 
1.826 

+3.69 
4.34 
4.9C 

+2.0961—  0.10 

2.109     0.84 
2.105     1.58 

300 

1.716 

5.5:. 

2.C83'    2.31 

400 

L592 

6.04 

2!043|    3^02 

1872  IS. 

1SSO  B. 

*  8  Mean  Sun,     Feb.  4.3. 

*  6  0,                  Aug.  4  4. 

C 

—  .635 

+5.8? 

+2.059  -2.78 

?jc  6  Mean  Sun,     Aug.  5.9. 

100 

.502 

6.35 

2.008 

3.47 

200 

.357 

6.78 

1.940 

4.14 

300 

.200 

7.15 

1.855 

4.77 

400 

—  .035+7.4? 

+  1.754 

-5.36 

138 


SPECIAL  TABLES. 


TABLE  HIV.-*  Cancri. 

h    m                                                   °      ' 

R.A.  9    0.7.                       Dec.  +  11  11. 

Upper  transit  at  fictitious  meridian. 

A    a 

AQrf 

Side- 
real 

AQa 

AQ(J 

AQ« 

AQ(J 

„. 

Mt'tiu  DSY 

Day. 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                  " 

1873. 

8                     " 

0 

+0.602 

-8.20 

—  0.92GI+7.38 

100 

0.51J 

8.16 

0.868     7.64 

8 

// 

200 

0.415 

8.06 

0.800     7.84 

0,Jan.    0 

—  0.40 

+1.134 

-  2 

+248 

—  4.15 

0 

—133 

300 

0.315 

7.88 

0.725     7.97 

10 

+  9.57 

1.383 

2 

207 

5.39 

0 

114 

400 

0.212 

7.63 

0.6441    8.04 

20 

19.54 

.546 

—  1 

159 

6.43 

__   j 

93 

30 

29.51 

.680 

0 

108 

7.24 

1 

69 

1866. 

1874. 

Feb.   9 

8.49 

.762 

0 

56 

7.82 

1 

46 

0 

+0.247 

-7.72 

—  0.6721+8.02 

19 
Mar.   1 
11 
21 

1846 
0.43 
10.40 

20.38 

.793 
.776 
.71? 
.623 

0 
0 

+  1 

+    6 
—  39 

78 
108 

8.16 
8.33 
8.aO 
8.13 

2 
2 
2 

2 

26 
—    7 
+  10 
22 

100 
200 
300 
400 

0.14'^ 
+0.03? 
—0.069 
0.174 

7.43 

7.07 
6.65 
6.17 

0.588     8.05 
0499     8.01  ! 
0.406     7.90 
0.31l|    7.72  ! 

31 

30.35 

.503 

2 

130 

7.86 

3 

31 

1867. 

1875. 

100,  Apr.  10 
20 

9.32 
19.30 

.365 

.220 

3 
3 

143 
148 

7.52 
7.10 

3 
3 

38 
44 

0 
100 

—0.130 
0.243 

—6.34 

5.82 

—0.343 
0.24( 

+7.79 
7.57 

30 

29.27 

.072 

3 

145 

6.65 

3 

46 

200 

0.345 

5.26 

0.146 

7.29 

May  10 

9.24 

0.933 

3 

133 

6.19 

3 

47 

300 

0.444 

4.65 

—0.046 

6.96 

20 

19.21 

0.809 

3 

117 

5.71 

2 

47 

400 

0.539 

4.00 

+0.055 

6.56 

30 

29.19 

0.702 

3 

95 

5.26 

2 

45 

1868  B. 

1876  B. 

June  9 
19 

8.16 
18.13 

0.619 
0.564 

2 

2 

69 
43 

4.81 
4.38 

2 
2 

44 
41 

0 

—0.508 

—4.22 

+0.021 

+6.70 

29 

2810 

0.533 

2 

—  16 

398 

2 

36 

100 

0.600 

3.55 

0.122 

6.27 

July  9 

8.08 

0.532 

1 

+  12 

3.65 

2 

31 

200 
300 

0.686 
0.766 

2.85 
2.12 

0.222 
0.320 

5.79 

5.25 

200,          19 

18.05 

0.558 

+  1 

40 

3.37 

2 

25 

400 

0.840 

1.38 

0.415 

4.68 

29 

2802 

0.613 

0 

69 

3.15 

2 

17 

Aug.  8 

7.00 

0.696 

0 

97 

3.04 

+    6 

1869. 

1877. 

18 

28 

16.97 
26.94 

0.808 
0.947 

—  1 
1 

125 
153 

3.04 
3.19 

24 

0 
100 

—0.816 

0.885 

-1.62 

0.87 

+0.383 
0.474 

+4.87 
4/27 

Sept.  7 
17 
27 

5.91 

15.89 
25.86 

1.114 
1.310 
1.534 

2 
3 
3 

182 
210 
236 

3.52 
4.03 
4.74 

42 
64 

81 

200 
300 
400 

0.946 
0.998 
1.042 

—0.12 
+0.64 
1.39 

0.56(5 
0.651 
0.731 

3.63 
2.96 
2.27 

Oct.    7 

5.83 

1.782 

3 

261 

5.65 

102 

1870. 

1878. 

17 

15.80 

2.056 

3 

285 

6.77 

121 

0 

—  .028+1.14 

+0.704 

2.51 

300,         27 

25.78 

2.351 

4 

305 

8.06 

138 

100 

.066 

1.88 

0.780 

1.80 

Nov.  6 

4.75 

2.664 

4 

319 

9.52 

152 

200 

.094 

2.60 

0  850 

1.07 

16 

14.72 

2.986 

4 

326 

11.09 

161 

300 

.113 

3.30 

0.913 

+0.34 

26 

24.69 

3.313 

4 

326 

12.73 

165 

400 

.123 

3.96 

0.96t 

—0.40 

Dec.  6 

4.67 

3.635 

4 

317 

14.38 

2 

163 

1871. 

1879. 

16 

25 
36 

14.64 
24.61 
34.59 

3.944 
4.229 

+4.480 

4 
3 
—  3 

298 
269 
+232 

15.98 

17.48 
—18.85 

2 
3 
—  3 

155 
144 
—127 

0 
100 
200 

—  .121 
.124 
.117 

+3.74 
4.39 
4.99 

+0.950 
1.000 
1.042 

—0.15 
0.90 
1.63 

300 

.101 

5.55 

1.076 

2.35 

400 

.076 

6.0? 

1.100 

3.16 

1873  B. 

1  580  12. 

%  6  0,                 Aug.  4.9. 

5J<  d  Mean  Sun,    Aug.  6.3. 

0 

—1.0851+5.90 

+1.093 

—282 

100 

1.054 

6.38 

1.111 

3.51 

200 

1.014 

6.80 

1.120 

4.17 

300 

0.9(56 

7.17 

1.120 

4.8U 

400 

—0.909 

+7.47 

+1.110 

—5.39 

SPECIAL  TABLES. 


139 


TABLE  XXIY.-t  Argus. 

h    m                                                    °      ' 

K.A.  9  13.6.                       Dec.  -58  44. 

Upper  transit  at  fictitious  meridian. 

AQa 

^ 

Side- 
real 
Day. 

V 

HAn°  ^ 

1870. 

Vnr.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                  " 

1873. 

8                    " 

0 

+0.947 

—8.05 

—0.849 

+7.42 

j 

100 

0.943 

7.97 

0.831 

7.64 

8 

// 

200 

0.932 

7.83 

0.905 

7.80 

0,  Jan.    0 

—  0.40 

+2.074 

0 

+316 

+  9.95 

+  2 

—349 

300 

0.912 

7.61 

0.922 

7.89 

10 

+  9.58 

2.354 

+  1 

241 

6.35 

2 

370 

400 

0.884 

7.33 

0.931 

7.92 

20 

19.55 

2.555 

2 

160 

+  2.59 

2 

381 

30 

29.52 

2.674 

2 

+  77 

-  1.23 

2 

381 

1866. 

1874. 

Feb.    9 

8.50 

2.709 

3 

4.99 

2 

370 

0 

+0.894 

—7.43 

—0.9291+7.92 

19 
Mar.    1 
11 
21 

18.47 
0.44 
10.41 
20.39 

2.662 
2.540 
2.350 
2.104 

3 
3 
4 
4 

85 
158 
220 
271 

8.61 
12.01 
15.09 
17.82 

2 
1 
1 

+  J 

352 
325 
291 
253 

100 
200 
300 
400 

0.861 
0.820 
0.773 
0.719 

7.10 
6.72 
6.27 
5.77 

0.932)    7.90 
0.929     7.82 
0.917     7.67 
0.898     7.47 

31 

30.36 

1.811 

4 

312 

20.13 

0 

210 

1867. 

1875. 

100,  Apr.  10 
20 

9.33 
19.30 

1.483 
1.132 

4 
3 

341 

359 

22.00 
23.37 

0 
0 

162 
113 

0 
100 

+0.738 
0.679 

-5.94 
5.41 

—0.905 
0.881 

+7.54 
7.29 

30 

29.28 

0.768 

3 

365 

24.25 

0 

62 

200 

0.614 

4.82 

0.850 

6.98 

May  10 

9.25 

0.405 

3 

360 

24.60 

—  1 

—  10 

300 

0.545 

4.20 

0.812 

6.62 

20 

19.22 

+0.051 

2 

347 

24.45 

1 

+  41 

400 

0.470 

3.54 

0.767 

6.20 

30 

29.20 

-0.286 

2 

324 

23.79 

2 

91 

1868  B. 

1876  B. 

June  9 
19 

8.17 
18.14 

0.595 
0.870 

+  1 
0 

293 
255 

22.63 
21.02 

2 
2 

139 
182 

0 

+0.498 

—3.77 

—0.783 

+45.34 

29 

28.11 

.103 

—  1 

210 

19.00 

2 

221 

100 

0.419 

3.09 

0734 

5.89 

July  9 

8.09 

.289 

1 

160 

16.62 

3 

253 

200 

0.338 

2.38 

0.679 

5.39 

300 

0.254 

1.65 

0.618 

4.84 

200,          19 

18.06 

.422 

1 

104 

13.97 

3 

277 

400 

0.169 

0.91 

0.552 

4.  '25 

29 

28.03 

.496 

2 

—  43 

11.10 

3 

295 

Aug.  8 

7.00 

.508 

3 

+  20 

8.10 

3 

302 

1869. 

1877. 

18 

28 

16.98 
26.95 

.456 
.336 

3 
4 

86 
154 

5.09 
—  2.17 

3 
3 

298 

284 

0 
100 

+0.198 
0.111 

—1.16 

—0.42 

—0.574 
0.505 

+4.45 
3.83 

Sept.  7 
17 
27 

5.92 
15.89 

25.87 

1.149 

0.895 
0.579 

5 
5 
5 

221 

286 
346 

+  0.56 
2.98 
5.02 

3 
2 

2 

259 
224 

180 

200 
300 
400 

+0.024 
—0.063 
0.150 

+0.33 
1.07 

1.80 

0.432 
0.355 
0.275 

3.19 
2.51 

1.82 

Oct.    7 

5.84 

-0.206 

5 

400 

6.56 

2 

127 

187O. 

1878. 

17 

15.81 

+0.217 

5 

444 

7.54 

I 

67 

0 

—0.121 

+1.55 

—0.302 

+2.C6 

300,          27 

25.79 

0.678 

4 

476 

7.89 

1 

+    4 

100 

0.207 

2.27 

0.221 

1.35 

Nov.  6 

4.76 

1.165 

4 

498 

7.61 

—  1 

—  62 

200 

0.290 

2.97 

0.137 

+0.63 

16 

14.73 

1.665 

3 

501 

6  £6 

0 

126 

300 

0.371 

3.64 

—0.052 

—0.10 

26 

24.70 

2.162 

2 

488 

5.10 

0 

186 

400 

0.449 

4.28 

+0.034|    0.83 

Dec.   6 

4.68 

2.637 

1 

459 

2.95 

0 

243 

1871. 

1879. 

16 
28 
36 

14.65 
24.62 
34.59 

3.076 
3.468 
+3.789 

—  1 

0 
+  1 

416 
358 

+288 

+  0.26 

—  2.86 
—  6.30 

0 

+  1 
+  1 

292 
331 

—358 

0 
100 
200 

—0.423+4.07 
0.498     4.68 
0.569     5.25 

+0.005 
0.091 
0.176 

—  O.E8 
1.30 
2.02 

300 

0.634     5.77 

0.260 

2.72 

400 

0  694     6.25 

0.342 

3.40 

1872  B. 

1880  B. 

*  6  0,                 Aug.  8.2. 

>jc  d  Mean  Sun,     Aug.  9.6. 

0 
100 
200 
300 

—0.674+6.09+0.314 
0.730     6.53||    0.395 
0.780     6.92      0.472 
0.823     7.24      0.545 

—3.17 
3.84 
4.47 

507 

• 

400!—  0.860  +7.50  +0.614 

—5.62  I 

140 


SPECIAL  TABLES. 


TABLE  XXIV.-*  1  Draconis  (H.) 

h    m                                                    °      ' 

E.A.  9  18.3.                       Dec.  +  81  54. 

Upper  transit  at  fictitious  meridian. 

AQa 

A/-vtJ 

Side- 
real 

AQfl 

AQf5 

AQa 

AQ(J 

Day. 

• 

1S7O. 

Var.  in 

10  y. 

Diff.  for 
10  d. 

187O. 

Var.  in 
10  y. 

Diff.  for' 
10  d. 

1865. 

8                      " 

1873. 

8                    " 

0 

-0.770 

—8.00 

-1.127J+7.43 

100 

1.188 

7.91 

0.7  19| 

7.64 

s 

// 

200 

1596 

7.75 

—0.307 

7.78 

0,  Jan.   0 

—  0.39 

+  7.186 

—  81 

+1352 

—13.84 

-10 

+185 

300 

1.991 

7.52 

+0.107 

7.85 

10 

+  9.58 

8.422 

79 

1113 

11.76 

12 

229 

400 

2.369 

7.23 

0.518 

7.86 

20 

19.55 

9.401 

75 

839 

9.28 

13 

265 

30 

29.53 

10.091 

68 

538 

6.49 

14 

290 

186<». 

1874. 

Feb.   9 

8.50 

10.470 

59 

+  222 

3.51 

15 

304 

0 

—2.244 

—7.33 

+0.380+7.87 

19 
Mar.   1 
11 
21 

18.47 
0.45 
10.42 
20.39 

10.534 

10.287 
9.748 
8.950 

49 
38 
25 
—  13 

—    95 
397 
674 
914 

—  0.46 
+  2.55 
5.38 
7.93 

15 
14 
13 
12 

305 
294 
271 
237 

100 

200 
300 
400 

2.608 
2.950 
3.266 
3.554 

7.00 
6.60 
6.14 
5.63 

0.788 
1.190 
1.580 
1.956 

7.84 
7.74 
7.57 
7.35 

31 

30.36 

7.935 

0 

1109 

10.09 

11 

195 

1867. 

1875. 

100,  Apr.  10 
20 

9.34 
19.31 

6.750 
5.450 

+  l\ 

1251 

1340 

11.80 
12.98 

9 

7 

146 
91 

0 

100 

-3.460 
3.727 

—5.81 
5.26 

+1.831 
2.197 

+7.43 
7.17 

30 

29.28 

4.088 

30 

1374 

13.61 

5 

+  35 

200 

3.962 

4.68 

2.544 

6.85 

May  10 

9.25 

2.719 

37 

1355 

13.68 

3 

—  22 

300 

4.161 

4.05 

2.870 

6.47 

20 

19.23 

1.393 

42 

1288 

13.17 

—  1 

79 

400 

4.324 

3.1711    6.03 

30 

29.20 

+  0.156 

45 

1179 

12.12 

+  1 

131 

1§68B. 

1876  B. 

June  9 
19 

8.17 
18.15 

—  0.952 

1.898 

45 
44 

1032 
856 

10.56 

8.54 

3 
4 

180 
223 

0 

—4.273 

—3.61 

+3.072 

+6.18 

29 

28.12 

2.657 

4( 

657 

6.12 

6 

260 

100 

4.411 

2.92 

3.357 

5.72 

July  9 

8.09 

3.207 

34 

441 

3.37 

7 

290 

2CO 
300 

4.5C9 
4.569 

2.22 
1.49 

3.614 
3.841 

5.20 
4.65 

200,          19 

18.06 

3.536 

26 

—  215 

+  0.34 

7 

314 

400 

4.588 

0.75 

4.036 

4.C5 

29 
Aug.  8 

2804 
7.01 

3.635 

3.503 

16 
+    5 

+    16 
249 

-  2.89 
6.24 

8 
8 

330 
340 

1869. 

1877. 

18 
28 

16.98 
26.95 

3.139 
2.650 

—    8 
2-2 

478 
70C 

9.65 
13.05 

7 

7 

342 
337 

C 
100 

—4.586 

4.578 

—1.00 
-0.26 

+3.974 

4.148 

+4.26 
3.64 

Sept.* 

5.93 
15.90 

1.743 

—  0.730 

36 
51 

91-2 
1112 

16.37 
19.55 

6 
4 

326 

308 

200 
300 

400 

4.531 
4.444 

4.320 

+0.48 
1.22 
1.94 

4.287 
4.392 
4.400 

2.99 
2.31 
1.62 

27 

25.87 

+  0.475 

67 

1295 

22.51 

3 

283 

Oct.    7 

5.84 

1.853 

8* 

1458 

25.18 

+  1 

252 

1870. 

1S7S. 

17 

15.81 

3.382 

97 

1597 

27.52 

—  1 

214 

0 

—4.366+1.70 

+4.441 

+  1.85 

300,         27 

25.79 

5.036 

111 

1707 

29.45 

3 

171 

100 

4.216 

2.41 

4.485 

1.15 

Nov.  6 

4.76 

6.783 

124 

1781 

30.92 

6 

122 

200 

4.031 

3.10 

4.4921+0.43 

16 

14.74 

8.580 

135 

1817 

31.89 

8 

70 

300 

3.811 

3.76 

4.461 

—0.29 

26 

24.71 

10.402 

145 

1807 

32.30 

11 

—  14 

400 

3.559 

4.39 

4.393 

1.G2 

Dec.   6 

4.68 

12.184 

153 

1748 

32.16 

13 

+  43 

1871. 

1879. 

16 
26 
36 

14.65 
24.63 
34.60 

13.881 
15.44: 
+16.819 

158 
—160 

1638 
1477 
+1268 

31.44 

30.18 
—28.39 

15 

18 
—20 

100 
154 

+202 

0 
100 
200 

—3.648+4.18 
3.375     4.78 
3.076     5.34 

+4.420 
4.328 
4.199 

—0.77 
1.49 
2.20 

i 

300 

2.750     5.85 

4.035 

2.89 

400 

2.403     6.31 

3.836 

3.56 

1873  B. 

1880  B. 

*  8  Mean  Sun,    Feb.  92. 

-X-  6  0,                 Aug.  9.4. 

0 

—2.523+6.16 

+3,907 

—3.34 

>fc  d  Mean  Sun,     Aug.  10.8. 

100 

2.162     6.59 

3.686 

3.99 

20(J 

1.784     695 

3.434 

4.GO 

300 

1.392!    7.26 

3.152!     5.18 

400 

—0.990+7.51 

+2.843;—  5.72 

SPECIAL  TABLES. 


141 


TABLE  XXIV.—  *d  Irsae  Majoris. 

h    m                                                       o      / 

E.A,  9  22.9.                       Pec.  +  70  24. 

Upper  transit  at  fictitious  meridian. 

A0« 

Aod 

Side- 
real 
Day. 

AQa 

A^ 

AQa 

Aad 

AI^tAii  Day. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                    " 

1873. 

8                    " 

0 
100 
200 
300 

+0.041 
—0.174 
0.389 
0.600 

r7.93 
7.83 
7.65' 
7.41 

—0.973 
0.779 
0.578 
0.374 

+7.44 
7.63 
7.76 

782 

0,  Jan.  0 

—  0.39 

+2.980 

—18 

+635 

// 
-13.75 

5 

+139 

10 

+  9.59 

3.566 

17 

534 

12.12 

6 

185 

400 

0.807 

7.10 

0.166 

7.81 

20 

19.56 

4.043 

15 

416 

10.08 

7 

222 

30 

29.53 

4.394 

13 

285 

7.70 

8 

251 

1866. 

1874. 

Feb.   9 

8.50 

4.610 

11 

148 

5.10 

8 

269 

0 

—0.738 

-7.22 

—0.237  -1-7.82 

19 
Mar.   1 
11 
21 

18.43 
0.45 
10.42 
20.40 

4.689 
4.632 
4.450 
4.155 

9 
6 
—  3 
0 

+  10 
—122 
241 
344 

—  2.36 
+  0.37 
3.02 
5.43 

9 
9 

8 
8 

275 
271 

255 
228 

100 
200 
300 
400 

0.940 
1.134 
1.318 

1.490 

6.87 
6.46 
5.99 
5.4? 

—0.029 
+0.180 
0.385 
0.588 

7.78 
7.67 
7.49 
7.26 

31 

3037 

3.769 

+  3 

426 

7.54 

7 

193 

1867. 

1875. 

100,  Apr.  10 
20 

9.34 
19.31 

3.311 

2.806 

5 

7 

486 
521 

9.27 
10.56 

6 
5 

151 

104 

0 
100 

-1.434 

1.598 

—5.65 
5.10 

+0.520 
0.711) 

+7.34  « 
7.06 

30 

29.29 

2.277 

9 

533 

11.35 

4 

54 

200 

1.748 

4.51 

0.912 

6.73 

May  10 

9.26 

1.747 

10 

523 

11.63 

2 

+    3 

300 

1.882 

3.8c 

1.097 

6.35 

20 

1923 

1.237 

11 

493 

11.40 

—  1 

-48 

400 

2.001) 

3.21 

1.273 

5.91 

30 

29.20 

0.766 

11 

446 

10.67 

0 

97 

1SC8  B. 

1876  B. 

June  9 

8.18 

0.350 

11 

384 

9.47 

+  1 

143 

19 

18.15 

-f-0.002 

10 

311 

7.83 

3 

184 

C 

—  1.963 

—3.44 

+  1.215 

+6.06 

29 

28.12 

—0.270 

9 

230 

5.81 

3 

220 

100 

2.068 

2.75 

1.385 

5.59 

July    9 

8.09 

0.456 

7 

142 

3.46 

3 

250 

200 

2.157 

2.04 

J.54* 

5.07 

300 

2.226 

1.33 

1.688 

4.51  i 

200,          19 

18.07 

0.553 

5 

—  52 

+  0.83 

4 

275 

400 

2.276 

0.5* 

1.819 

3.91 

29 

28.04 

0.559 

+  3 

+  40 

—  2.02 

4 

293 

Aug.  8 

7.01 

0.472 

0 

134 

5.01 

4 

305 

1869. 

1877. 

18 
28 

16.99 
26.96 

0.292 
—  0.122 

—  4 

7 

225 
315 

8  10 
11.23 

4 
4 

312 
313 

0 
100 

—2.261 

2.298 

—  o.et 

—0.09 

+  1.77(5 

1898 

+4.11 
3.49 

Sept.  7 
17 
27 

5.93 
15.90 

25.88 

-t-0.337 
0.781 
1.306 

10 
13 
17 

402 
486 
564 

14.33 
17.35 
20.21 

4 
3 
2 

307 
295 

277 

2CO 
300 
400 

2.314 
2.311 

2.287 

+0.64 
1.3? 

2.09 

2.004 
2.094 
2.166 

2.84 
2.16 
1.47 

Oct.    7 

5.85 

1.9U6 

20 

635 

22.86  |+  1 

253 

187O. 

1878. 

17 

15.82 

2.574 

23 

699 

25.25 

0 

223 

0 

—2  297 

+1.85 

+2.144;+1.71 

3CO,          27 

25.79 

3.300 

26 

751 

27.30 

—  1 

187 

100 

2.260 

2.55 

2.  205!     1.00 

Nov.  6 

4.77 

4.072 

29 

790 

28.96 

2 

145 

20lf 

2.204 

323 

2.247+0.-29 

16 

14.74 

4.874 

31 

812 

30.19 

4 

98 

3UO 

2.  129 

3.88 

2.27-2—0.43 

26 

24.71 

5.690 

33 

815 

30.93 

5 

—  48 

400 

2.036 

4.49 

2.277J     1.15 

Dec.   6 

4.69 

6.497 

34 

796 

31.15 

7 

+     4 

1871. 

1879. 

16 
26 
36 

14.66 
24.63 
34.60 

7.274 

7997 
+8.643 

35 
35 
—34 

754 
688 
+6UO 

30.84 
30.01 

—28.68 

8 
10 
—10 

57 
109 
+157 

0 
100 
200 
300 

—  2.C69  +4.29 
1.964     4.8rt 
1.843     5.4-4 
1.70?      ^  <*> 

+0.077  _Q.9i 
2.270;     1.62 
2.244      2.32 
2.1901    3  00 

400 

L556 

6.'3: 

2J36J     3.66 

1872  B. 

1880B. 

*  8  Mean  Sun,     Feb.  11.6. 

*  6  ©,                  Aug.  10.6. 

0 

-1.609 

+6.22  +2.159—3.44 

2JC  6  Mean  Sun,     Aug.  12.2. 

100 

1.450 

6.63 

2.084      4.1  8  | 

1        ^                                          »                     O 

200      1.279 

6.99 

1.9911 

4.09  ! 

300     1.098 

728 

1.879,     5.26 

400—  0.9G8+7.5J 

+  1.753;  —  5.79    ; 

142 


SPECIAL  TABLES. 


TABLE  XXIV.-0  Ursje  Majoris. 

h    m                                                    °      ' 

R.A.  9  24.1.                       Dec.  +  52  16. 

Upper  transit  at  fictitious  meridian. 

AQa 

' 

A0^ 

' 

Side- 
real 

Ana 

A    rf 

AQa 

A    6 

Day. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                   " 

1873. 

8                      " 

0 

+0.357 

-7.91 

—0.938 

+7.44 

100 

0.214 

7.81 

0.821 

7.63 

g 

// 

200 

+0.068 

7.63 

0.697 

7.75 

0,Jan.    0 

—  0.39 

+  1.641 

—  6 

+389 

—12.12 

—  3 

+  59 

300 

—0.078 

7.38 

0.568 

7.81 

10 

+  9.58 

2.002 

6 

331 

11.32 

3 

101 

400 

0.224 

7.07 

0.434 

7.80 

20 

19.56 

2.300 

5 

263 

10.12 

4 

136 

• 

30 

29.53 

2.525 

4 

187 

8.61 

5 

166 

1866. 

1874. 

Feb.    9 

8.50 

2.673 

3 

108 

6.82 

5 

189 

0 

-0.175 

-7.18 

—0.480+7.81 

19 
Mar.   1 
11 
21 

18.48 
0.45 
10.42 
20.39 

2.741 
2.734 
2.654 
2.515 

2 
-  1 

0 

+  1 

+  30 
—  45 
111 
167 

4.86 
2.81 
—  0.77 
+  1.17 

5 
6 
6 
5 

202 
206 
200 

186 

100 
200 
300 
400 

0.320 
0.462 
0.600 
0.733 

6.83 
6.42 

5.95 
5.43 

0.344 
0.205 
—0.065 
+0.075 

7.76 
7.65 
7.47 
7.23 

31 

30.37 

2.324 

2 

212 

2.92 

5 

164 

1867. 

1875. 

100,  Apr.  10 
20 

9.34 
19.31 

2.095 
1.843 

3 

3 

243 

259 

4.43 
5.63 

4 
4 

136 
103 

0 
100 

—0.689 
0.817 

—5.61 
5.06 

+0.028 
0.168 

+7.32 
7.04 

30 

29.28 

1.582 

4 

262 

6.47 

3 

65 

200 

0.939 

4.46 

0.306 

6.71 

May  10 

9.26 

1.322 

4 

254 

6.94 

2 

+  27 

300 

1.052 

3.83 

0.442 

6.32 

20 

19.23 

1.077 

4 

235 

7.02 

1 

—  12 

400 

1.156 

3.16 

0.574 

5.88 

30 

2920 

0.855 

4 

207 

6.70 

_  i 

50 

1868  B. 

1876  B. 

June  9 

8.18 

0.635 

4 

173 

6.02 

Q 

86 

19 

18.15 

0.511 

3 

134 

4.99 

0 

120 

0 

—1.122 

—3.39 

+0.530 

+6.03 

29 

28.12 

0.399 

2 

89 

3.64 

0 

150 

100 

1.219 

2.70 

0.659 

5.56 

July   9 

8.09 

0.333 

2 

—  43 

2.01 

+  1 

176 

200 
300 

1.306 
1.381 

1.99 
1.27 

0^899 

5.04 
4.47 

200,          19 

18.07 

0.313 

1 

-f-    4 

+  0.14 

1 

198 

400 

1.443 

0.54 

1.009 

3.87 

29 

28.04 

0.340 

+  J 

51 

-  1.94 

2 

217 

Aug.  8 

7.01 

0.415 

-  1 

98 

4.18 

2 

232 

1869. 

1877. 

18 

28 

16.98 
26.96 

0.536 
0.704 

2 
3 

145 
192 

6.56 
9.01 

3 
2 

242 

248 

0 
100 

—  .423 

.478 

—0.78 
—0.04 

+0.973+4.07 
1.U77      3.45 

27 

5.93 
15.90 

25.87 

0.919 
1.180 
1.486 

4 

5 
6 

238 

284 
328 

11.51 
14.03 
16.49 

2 
2 
2 

252 

250 
242 

200 
300 
400 

.519 
.547 
.561 

+0.69 
1.42 
2.13 

1  173     2.80 
1.259     2.12 
1.335|     1.43 

Oct.    7 

5.85 

1.834 

7 

369 

18.86 

+  1 

231 

1870. 

1878. 

17 

15.82 

2.222 

8 

407 

21.09 

0 

214 

0 

—1.558+1.89 

1.3111+1.66 

300,          27 

25.79 

2.645 

10 

439 

23.13 

0 

193 

100 

1.564 

2.59 

1.380!  "0.96 

Nov.   6 

4.77 

3.097 

11 

464 

24.93 

—  1 

165 

200 

1.556 

3.27 

1.437+0.25 

16 

14.74 

3.570 

11 

480 

26.42 

2 

133 

300 

1.535 

391 

1.483—0.47 

28 

24.71 

4.053 

11 

485 

27.57 

3 

96 

400 

1.500 

4.52 

1.516|     1.18 

Dec.    6 

4.68 

4.536 

12 

478 

28.33 

4 

55 

1871. 

1879. 

16 
26 
36 

14.66 
24.63 
34.60 

5.004 
5.441 

+5.835 

12 
12 
—12 

455 
418 

+368 

28.66 
28.56 
—28.01 

5 
6 

—  7 

—  12 

+  32 

+  74 

0 
100 
200 

-1.513 
1.470 
1.415 

+4.32 
4.91 
5.45 

+1.506-0.94 
1.532     1.65 
1.544     2.35 

300 

1.348 

5  94 

1.544     3.03 

400 

1.270 

6.38 

1.531     3.69 

1872  B. 

1880  B. 

*  6  ©,                 Aug.  11.0. 
5JC  d  Mean  Sun,    Aug.  12.3. 

0 
100 

—1.298 
1.212 

+6.24 
6.65 

+1.537 
1.515 

!—  3.47 
4.11 

200 

1.117     7.00      1.480 

4.71 

300 

1.013     7.28  1     1.433 

5.28 

|  400 

—  0.900  +7.51J  +1.373 

—5.80 

SPECIAL  TABLES. 


143 


TABLE  XXIV.-*  Leonis. 

h    m                                                  °      ' 

E.A.  9  38.5.                       Dec.  +  24  22. 

Upper  transit  at  fictitious  meridian. 

Sidtrctil  Duv 

]MeHQ  Dixy. 

A0a 

AQd 

Side- 
real 
Day. 

A^a 

^ 

^Qa 

^ 

1870. 

Var.in 
10  y. 

Drff.  foi 
10  d. 

1870. 

Var.in 

10  y. 

Diff  for 
10  d. 

1865. 

8 

1873. 

8                    " 

0 

+0.522 

—7.79 

—0.910 

+7.44 

100 

0.419 

7.54 

0.835 

7.58 

g 

// 

200 

0.312 

7.32 

0.753 

7.66 

0,  Jan.   0   —  0.38 

+1.053 

—  4 

+296 

—  7.68 

0 

—  87 

300 

0.202 

7.04 

0.665 

7.67 

10   -4-  9.59 

1.330 

3 

257 

'842 

—  1 

58 

400 

0.090 

6.69 

0.572 

7.62 

20 

19.57 

.564 

2 

210 

8.84 

1 

—  26 

30 

29.54 

.748 

1 

158 

8.95 

2 

+    2 

1866. 

1874. 

Feb.  9 

8.51 

.879 

—  1 

104 

8.81 

2 

27 

0 

+0.127—6.81 

—  0.604J+7.64 

19 
Mar.  1 
11 
21 

18.49 
0.46 
10.43 
20.40 

.955 
.977 
1.951 

.883 

0 

0 

+  ! 

+  49 
—    3 

48 
83 

8.42 
7.80 
7.05 
6.20 

3 
3 
3 
3 

51 

69 
81 

88 

100 
200 
30C 
400 

+0.015 
-0.098 
0.210 
0.320 

6.43 
5.99 
5.49 

4.9r, 

0.508 
0.408 
0.305 
0.200 

7.55 
7.39 
7  17 
6.90 

31       30.38 

.781 

2 

115 

5.30 

4 

90 

1867. 

1875. 

100,  Apr.  10        9.35 
20       19  32 

.655 
.511 

2 
2 

136 
148 

4.41 

3.58 

3 
3 

87 
80 

0 
100 

—0.283 
0.392 

—5.13 
4.56 

-0.235'+7.00 
0.129     6.68 

30       29.29 

.362 

3 

150 

2.83 

3 

69 

200 

0.497 

395 

—0.021 

6.31> 

May  10 

9.27 

.213 

3 

146 

2.20 

2 

57 

300 

0.597 

3.30 

+0.087 

590 

20 

19.24 

.073 

3 

135 

1.70 

2 

43 

400 

0.692 

2.6£ 

0.193 

5.43 

30 

29.21 

0.946 

3 

118 

1.35 

27 

1868  B. 

1876  B. 

June  9 
19 
29 

8.19 
18.16 
28.13 

0.839 
0.753 
0.693 

2 
2 
2 

97 
73 
47 

1.15 
1.13 
1.24 

+  H 

—    5 
20 

0 
100 

-0.6611—2.86 
0.752     2.17 

+0.157 
0.263 

+5.59 
5.C9 

July  9 

8.10 

0.659 

2 

—  20 

1.53 

:;5 

200 

300 

0.836     1.46 
0.913     0.74 

0.367 
0.468 

4.55 
3.97 

200,          19       18.08 

0.654 

+    8 

1.94 

I 

50 

400 

0.982|    0.02 

0.565 

3.36 

*9       2^.15 

0.676 

36 

2.52 

0 

65 

Aug.  8 

7.02 

0.726  + 

66 

3.24 

0 

80 

186'J. 

1877. 

18 
28 

16.99 
26.97 

0.809 
0.921' 

— 

97 
127 

4.11 
5.13 

0 

0 

95 
110 

0 

ICO 

—0.960—0.26 
1.023+0.4(5 

+0.533 
0.627 

+3.57 
2.9^ 

Sept   7 
17 

27 

5.94 
15.91 

25.88 

.063 
.236 
.442 

w  to  to 

1F;8 

190 
222 

6.31 
7.62 

9.08 

0 
0 
0 

124 
138 
151 

200 
300 
400 

1.077 
1.K2 

1.157 

l.lfc 

1.88 
2.57 

0.710 
0.799 
0.876 

2.28 
1.60 
0.91 

Oct.    7 

5.86 

.679 

3 

253 

10.64 

0 

163 

1870. 

1878. 

17 

15.  *3 

.947 

4 

283 

12.34 

0 

173 

0 

—  1  146  +-2.  34 

+0.851 

+1.15 

300,          27 

25.80 

2.243 

4 

309 

14.09 

0 

177 

100 

1.174 

3.01 

0.923+0.45 

Nov.  6 

4.78 

2.563 

5 

332 

15.87 

0 

178 

200 

1.192     3.60 

0.9c8 

—0.25 

16 

14.75 

2904 

5 

347 

17.64 

1 

174 

300 

1.200     4.27 

1.044 

0.95 

26 

24.72 

3.255 

6 

353 

19.34 

1 

164 

400 

1.198 

4.84 

1.093     1.65 

Dec.  6 

4.69 

3.608 

6 

351 

20.91 

1 

149 

1S71. 

1879. 

16 
26 
36 

14.67 
24.64 
34.61 

3.954 
4.283 
+4.582 

6 
5 
—  5 

339 
316 
+282 

22.30 
23.46 
—24.37 

2 
2 
—  3 

128 
104 
—  77 

0 
100 

200 

—1.200+4.65 
1.190!    5.21 
1.171|    5.71 

+1.C77 
1.120 
1.153 

—1.42 
2.10 

2.78 

1 

i 

300 

1.141 

6.K 

1.176 

3  42 

400 

1.103 

6.54 

1.190     4.05 

. 

1872  B. 

1S8O  B. 

*  6  ©,                 Aug.  14.8. 

>j<  <5  Mean  Sun,     Aug.  15.9. 

0—1.117 

+6.42 

+1.186 

—3.85 

100     1.072 

6.7b 

1.193J     4.45 

200     1.018 

7.  OH 

1.191 

5.02 

I 

300     0.955 

7.3* 

1.178 

5.51 

400:—  0.885  +7.  5( 

+1.154 

—6.02 

144 


SPECIAL  TABLES. 


TABLE  XXIV.-^  Leonis. 

h    m                                                    o      / 

R.A.  9  45.4.                       Dec.  +26  37. 

Upper  transit  at  fictitious  meridian. 

AQa 

A0<* 

Side- 
real 

AQa 

And 

AQa 

A^ 

. 

Day. 

1870. 

Var.in 
10  y. 

Diff.  foi 
10  d. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                    " 

1873. 
s               " 

0 

+0.502 

—7.58 

-0.901 

+7.44 

100 

0.397 

7.41 

0.824 

7.55 

y 

// 

200 

0.288 

7.17 

0.740 

7.60 

0,Jan.    0 

—  0.37 

+1.038 

—  3 

+305 

—  8.38 

0 

—  80 

300 

0.176 

6.86 

0.650 

7.59 

10 

+  9.60 

1.325 

3 

266 

9.02 

—  1 

48 

400 

0.063 

6.50 

0.&55 

7.52 

20 

19.57 

1.567 

2 

219 

9.34 

2 

—  17 

30 

29.55 

1.761 

2 

168 

9.37 

o 

+  12 

1866. 

1874. 

Feb.    9 

8.52 

1.901 

1 

111 

9.10 

2 

40 

0 

+0.101 

—6.63 

—0.587 

+7.55 

19 

Mar.   1 

n 

18.49 
0.46 
10.44 

1.984 
2.015 
1.994 

—  1 

0 
0 

56 
+    4 
—  43 

8.57 
7.85 
6.95 

3 
3 
3 

63 
82 
94 

1QO 
200 
300 

—0.013 
0.127 
0.239 

6.23 
5.77 
5.26 

0.489 
0.387 
0.282 

7.43 

7.26 

7.02 

21 

20.41 

1.931 

+  1 

82 

5.98 

4 

100 

400 

0.350 

4.71 

0.175 

6.73 

31 

30.38 

1.833 

2 

114 

4.96 

4 

101 

1867. 

1875. 

100,  Apr.  10 
20 
30 
May  10 

9.35 
1933 
29.30 

9.27 

1.706 
1.562 
1.411 
1  .'260 

2 
3 
3 
3 

137 
149 
152 
150 

397 
3.04 
2.23 
1.55 

3 
3 
3 

0 

97 
88 
75 
60 

0 
100 
200 
300 

—0.313'—  4.90 
0.422i    4.32 

0.527      3.70 
0.627     3.05 

—0.211 

—  0.1  OX 
+0  OOG 
0.115 

+6.83 
6.50 
6.12 

5  (58 

20 

19.24 

1.114 

3 

140 

1.03 

2 

43 

400 

0.722;    2.37 

0.222     5.20 

30 

29.22 

0.982 

3 

123 

0.68 

2 

26 

1868  B. 

1876  B. 

June  9 

8.19 

0.869 

3 

103 

0.52 

1 

+    8 

19 

18.16 

0.777 

2 

80 

0.53 

1 

—  10 

0 

—0.691 

—2.60 

+0.188 

+5.37 

29 

28.14 

0.710 

2 

54 

0.71 

1 

28 

100 

0.781 

1.91 

0.29^ 

4.86 

July  9 

8.11 

0.669 

1 

—  28 

1.08 

—  1 

46 

200 

0.865 

1.20 

0.397 

4.31 

300 

0.941 

—0.49 

0.49S 

3.73 

200,          19 

18.08 

0.655 

1 

0 

1.63 

0 

62 

400 

1.019+0.23 

0.595 

3.11 

29 

28.05 

0.670 

+  1 

+  30 

2.31 

0 

77 

Aug.  8 

7.03 

0.715 

0 

59 

3.16 

+  1 

94 

1869. 

1877. 

18 
28 

17.00 
26.97 

0.788 
0.893 

0 

—  1 

89 
121 

4.19 
5.36 

1 
1 

110 
124 

0 
100 

—0.987 
1.049 

—0.01 
+0.71 

+0.56-2 
065(3 

+3.32 
2.68 

Sept.  7 
17 
27 

5.94 
15.92 
25.89 

1.030 
1.199 
1.401 

2 
2 

3 

153 

185 
218 

6.67 
8.13 
9.73 

0 
0 

139 
153 
166 

200 
300 
400 

1.101 
1.144 
1.177 

1.41 
2.11 

2.78 

0.745 

0.8*7 
0.903 

2  02 
1.35 
0.66 

Oct.    7 

5.86 

1.636 

3 

251 

11.45 

0 

175 

187O. 

1878. 

17 

15.84 

1.903 

4 

282 

13.22 

0 

181 

0 

—1.167 

+2.56 

+0.8781+0  89 

300,          27 

25.81 

2.199 

4 

3C9 

15.07 

0 

185 

100 

1.193 

3.21 

0.951  +0.20 

Nov.   6 

4.78 

2.520 

5 

333 

1692 

0 

184 

200 

1.209 

3.84 

1.013—0.49 

16 

14.75 

2.863 

6 

351 

18.74 

0 

178 

300 

1.214 

4.44 

1.068     1.19 

26 

24.73 

3.219 

6 

360 

2047 

—  1 

166 

400 

1.20fc 

4.  99 

14*6]     1.87 

Dec.   6 

4.70 

3.579 

6 

358 

22.05 

1 

149 

1871. 

1879. 

16 
26 
36 

14.67 
24.64 
34.62 

3.932 
4.269 
+4.575 

5 
5 
—  5 

346 
323 

+290 

23.43 
2455 
—25.40 

2 
3 
—  3 

126 
99 
—  70 

0 
100 
200 

-1.211 
1.199 
1.1/7 

+4.81 
533 

5.81 

+1.100 
1.1  40 
1.171 

—1.64 

2.32 
y.98 

300 

1.145 

624 

1    1  O'  * 

»>    /»fc\ 

400 

]]l04 

.  &-± 
6.61 

1.204 

4/22 

1872  B. 

1880  B. 

*  6  0,                 Aug.  166. 

*  d  Mean  Sun,     Aug.  17.6. 

0 
100 

—1.1191+6.49 
1.071     6.«3j 

+  1.201 
1.206 

—  4.C2 
4.61 

200 

1.014 

7.11 

1.201 

5.16 

300 

0.949 

7.33 

1.183 

5.66 

400 

—0.876 

+7.48+1.159 

-6  12 

--  

1                         II 

SPECIAL  TABLES. 


145 


TABLE  XXIV.—  *32  Irsae  Majoris. 

h    ra                                                    °      ' 

R.A.  10    8.6.                       Dec.  +65  45. 

Upper  transit  at  fictitious  meridian. 

| 

A    a 

A    <J 

Side- 
real 

AQ« 

A^ 

A    a 

A    6 

ol 

Day. 

° 

1870. 

Var.in 

10  y. 

Diff.  for 
10  d. 

1870. 

Vt*r.in 
10  y. 

Diff.  for 
10  d. 

0 

—0.058—7.15 

J873;, 

—0.743+7.35 

100 

0.241 

6.90 

0.575     7.39 

8 

// 

200 

0.421 

6.60 

0.403     7.36 

0,  Jan.   0 

—  0.36 

+1.943 

—13 

+  595 

—15.85 

—  3 

+  69 

300 

0.599 

6.24 

0.228;    7.28 

10 

+  962 

2.506 

13 

527 

14.90 

4 

121 

400 

0.771     5.82 

0.051     7.13 

20 

19.59 

2.991 

12 

442 

13.45 

5 

168 

30 

29.56 

3.384 

11 

343 

11.57 

6 

207 

1866. 

1874. 

Feb.    9 

8.54 

3.674 

10 

235 

9.34 

6 

238 

0 

—0.713—5.96 

—0.111 

+7.19 

19 
Mar.   1 
11 
21 

18.51 
0.48 
10.45 
20.43 

3.853 
3.919 
3.878 
3.738 

9 
7 
5 
3 

123 

+     12 
—    93 
186 

6.85 
4.21 
—  1.54 
+  1.04 

7 

7 
7 
7 

258 
267 
265 
251 

100 
200 
300 
400 

0.882 
1.042 
1.193 
1.334 

5.51 
5.01 
4.46 

3.88 

+0.066 
0.24-2 
0.415 

0.585 

7.00 
6.76 
6.46 
6.10 

31 

30.40 

3.510 

—  1 

266 

3.45 

G 

228 

1867. 

1875. 

100,  Apr.  10 
20 

9.37 
19.34 

3211 

2.858 

2 

329 
375 

5.57 
7.34 

6 
5 

196 
156 

0 

100 

—1.288 
•  1.421 

—4.08 
3.47 

+0.528 
0.694 

+623 

5.84 

30       29.32 
MavlO         9.29 

2.468 
2.060 

4 
5 

411 

8.68 
9.57 

4 
3 

112 
64 

200 
300 

1.542 
1.649 

2.83 
2.17 

0.855 
1.008 

5.41 
4.93 

*  20       19.26 

1.651 

6 

404 

9.97 

2 

+  15 

400 

1.742 

1.49 

1.153 

4.42 

30       29.24 

1.256 

7 

383 

9.87 

—  1 

—  34 

1868  B. 

1876  B. 

June  9 

8.21 

0.889 

7 

350 

9.29 

0 

82 

19       18.18 

0.561 

7 

305 

8.24 

+  I 

127 

0 

-1.712 

—1.72 

+1.105 

+4.59 

29  1    28.15 

0281 

7 

25* 

6.76 

1 

169 

100 

1.795 

1.03 

1.244 

4.05 

July  9 

8.13 

+0.058 

6 

194 

4.88 

2 

206 

200 
300 

1.862 
1.912 

—0.33 
+036 

1.373 

1.490 

3.48 

2.87 

200,          19  I     18.10 

-0.104 

5 

130 

2.65 

3 

239 

401 

1.946 

1.0(5 

1.595 

2.24 

29       28.07 

0.201 

4 

—    62 

+  0.13 

3 

266 

Aug.  8         7.04 

0.228 

+  2 

+      7 

—  2.65 

4 

288 

1869. 

1877. 

18 
28 

17.02 
26.99 

0.185 
—0.070 

0 
—  2 

79 
152 

5.62 
8.73 

4 

4 

305 
316 

0 
100 

—  1.9361+0.83 
1.958     1.51 

+1.561  '+2.46 
1.657      1.81  J 

Sept.  7 
17 
27 

5.96 
15.94 
25.91 

+0.113 
0.380 
0.714 

4 
6 
9 

225 
29e 
370 

11.91 
15.11 

18.28 

4 
4 
3 

320 
319 
311 

200 
300 
4UO 

1.9641    2.19 
1.953     2.84 
1.924[    3.46 

1.740     1.16 

1.809+0.49 
1.863,—  0.19 

Oct.    7 

5.88 

1.119 

11 

439 

21.32 

3 

296 

187O. 

1878. 

17 

15.85 

1.591 

13 

504 

24.18 

2 

276 

0 

—1.935+3.26  +1.846+0.04 

300,          27 

25.83 

2.125 

16 

563 

26.81 

-f-  1 

248 

100 

1.896 

3.86 

1.8'JO 

—0.63 

Nov.  6 

4.80 

2.714 

18 

613 

29.12 

0 

213 

200 

1.840 

4.43 

1.918 

1.30 

16 

14.77 

3.346 

20 

650 

31.05 

—  1 

172 

300 

1.768 

4.96 

1.931 

1.97 

26 

24.74 

4.008 

21 

672 

32.54 

2 

126 

400 

1.682 

5.45 

1.927 

2.61 

Dec.   6 

4.72 

4.684 

23 

677 

33.55 

3 

74 

1871. 

1879. 

16 
26 
36 

14.69 
24.66 
34.64 

5.356 

6.002 
+6.6U4 

23 
24 
—24 

663 
627 
+  572 

34.02 
33.95 
-33.33 

4 
5 

—  7 

—  20 
+  35 
+  89 

0 
100 
200 

—1.713 
1.617 

1.507 

+5.29 
5.75 
6.15 

+1.930-2.40 
1.915     3.U3 
1.885     3.64 

300 

1.386 

6.50 

1.839     4.  '23 

400 

1.252 

&80 

L778     4.77 

*  8  Mean  Sun,    Feb.  21.9. 

187i|  B. 

1880  B. 

-*  6  0,                 Aug.  22  9. 

0 

—1.298+6.70: 

+1.800 

—4.59 

;jc  6  Mean  Sun,     Aug.  23.5. 

100 

1.158     6.96 

1.728 

5.11 

20U 

1.009     7.16 

1.642 

5.59 

300 

0.851 

7.30' 

1.541 

6.03 

'  400 

—0.637  +7.37J  +1.427 

—6.41 

10 

146 


SPECIAL  TABLES. 


TABLE  XXIV.-  /leonis. 

h    m                                                  °      ' 

E.A.  10  12.8.                      Dec.  +  20  30. 

Upper  transit  at  fictitious  meridian. 

AQa 

A    d 

Side- 
real 

AQa 

AQ<5 

AQa 

AQrf 

V_y 

Day. 

Sidereal  Day. 

VIeanDay. 

| 

• 

INTO. 

Var.inDiff.for 
10  y.       10  d. 

1870.   V-M" 

Diff.  for 

10  d. 

1865. 

s               " 

1873. 

8                     " 

! 

0 

+0.514—7.06 

—0.883 

+7.33 

100 

0.415-    6.80 

0.812 

7.35 

s 

n 

200 

0.3121    6.48*      0.734 

731 

0,Jan.    0 

—  0.35 

+0.859 

—  3  +311 

—  7.46 

0 

—124 

300 

0.207     6.111!    0.651 

7.21 

10 

+  9  62 

1.154 

3       277 

8.56         0 

95 

400 

0.099     5.68 

0.56* 

7.05 

20 

19.59 

1.410 

3 

235 

9.36         0 

66 

30 

29.56 

1.603 

2 

188 

9.87  I—  1 

36 

1866. 

1874. 

Feb.   9 

8.54 

1.785 

1 

137 

10.07 

2 

—    4 

0 

+0.136 

—5.83 

—0.593 

+7.11 

19 
Mar.  1 
11 
21 

18.51 
0.48 
10.45 
20.43 

1.896 
1.954 
1.965 
1.932 

—  1 

0 

0 
0 

84 
52 

9.96 
9.62 
9.  16 

8.36 

2 
2 
3 
3 

+  22 
45 
64 
76 

100 
200 
300 
400 

+0.028 
—0.081 
0.189 
0.295 

5.3? 
4.86 
4.31 
3.72 

0.501 
0.40C 
0.306 
0.203 

6!  66 
6.35 
5.99 

31 

30.40 

1.864 

+  1 

84 

7.66 

3 

84 

1867. 

1875.         | 

100,  Apr.  10 
20 

9.37 
19.35 

1.766 

1.64,8 

2 

2 

109 
125 

6.69 

5.82 

3 
3 

88 
85 

0 
100 

—0.259 
0.364 

3.92 
3.3! 

—0.239 
O.K>? 

+6.11 

5.72 

30 

29.32 

1.519 

2 

132 

5.00         3 

79 

200 

0.465 

2.67  L—0.034 

5.28 

May  10 

9.29 

1.386 

3 

133 

4.24 

2 

71 

300 

0.562 

2.00 

:+().07(      4.79  ! 

20 

19.26 

1.253 

3 

129 

3.59 

2 

59 

400 

0.654 

1.32 

j    0.17:>     4.27 

30 

29.24 

1.129 

3 

119 

3.C6 

2 

47 

1868  B. 

18761$. 

June  9 
19 

8.21 

18.18 

1.017 
0.921 

3 
3 

105 

87 

2.66 
2.40 

2 

2 

33 

18 

0 

—0.624—1.55 

+0.138 

+4.45 

29 
July  9 

28.15 
8.13 

0.844 
0.788 

2 

2 

67 
45 

2.29 
2.33 

1 
1 

+    3 
—  12 

100 
200 
30( 

0.712 
0.794 
0.869 

0.86 
—0.1? 
+0.5fe 

0.241 
0.341 
0.4& 

3.91 
3.33 
2.72 

200,          19 

18.10 

0.755 

1 

—  22 

2.53  !—  1 

28 

400 

0.936J     1.21 

O.G3J 

2.09 

29 
1         Aug.  8 

28.07 
7.05 

0.745 
0.761 

0 

4-    3 

30 

2.89 
3.41 

0 

0 

44 

60 

1869. 

1877. 

18 
28 

17.02 

26.99 

0.801 
0.877 

0 
0 

58 

87 

4.09 
4.96 

0 

0 

77 

95 

( 
100 

—0.915+0.98 
0.976     1.6? 

+0.5001+2.30 
0.590     1.65 

200 

1.030     2.33 

0.677i     1.00 

Sept.  7 
17 
27 

5.C6 
15.94 
25.91 

0.979 
1.115 

1.282 

—  1 

2 
2 

119 
152 

185 

6.00         0 
7.23  +  1 
8.03         1 

114 
131 
148 

i  300 

I  400 

1.074  i    2.9? 
1.1081    3.  5D 

0.757'+0.33 
0.833-0.34 

Oct.    7 

5.88 

1.484 

3 

219 

10.19         1 

164 

1870. 

1878. 

17 

15.85 

1.720 

4 

252 

11.89         1 

178 

c 

—1.098+331)  +0.806 

—0.11 

300,          27 

25.83 

1.988 

4 

284 

1373 

1 

188 

\  100 

1.126 

3.9t 

0879 

0.78 

Nov.  6 

4.80 

2.286 

5 

311 

15.64 

+  1 

194 

200 

1.145 

4.54 

0.942 

1.45 

16 

1477 

2.608 

5 

332 

17.59 

0 

196 

1  30( 

1.153 

5.0( 

0.99? 

2.10 

26 

24.74 

2.947 

5 

344 

19.54 

0 

191 

400 

1.152 

5.5. 

;    1.045 

2.75 

Dec.   6 

4.72 

3.294 

5 

349 

21.39 

—  1 

179 

1871. 

i         1879. 

16 
26 
36 

14.69 
24.66 
34.64 

3.641 
3.978 
+4.290 

5 
5 
—  5 

344 

326 
+298 

23.11 
24.64 
—25.92 

1 

2 
—  2 

163 
141 
—114 

101 
20( 

—1.154 
1.146 
1.128 

1+5.3? 

5.85. 
•6.21 

+1.030—2.53 
1.072;     3.15 
1.105      3.76 

300 

1.101 

6.54 

i     1.129     4.33 

400 

U06S 

6.82 

i     1.143     4.86 

1872B. 

1880  B. 

*  6  ©,                 Aug.  24.0. 
>jc  6  Mean  Sun,     Aug.  24.6. 

c 

—1.07&4-G.74 

'+1.13CI—  4.G9 

10' 

1.0  i()     6  9.v 

1.14? 

&.5JU 

!  20C 

0.983 

7  li 

1.I4< 

5.67 

!  SCO 

0.926     7.21 

i    1.1  :^ 

6.09 

400 

—  0.860!+7.3,r, 

+  l.!i:i—  6.46 

SPECIAL  TABLES. 


147 


TABLE  XXIV.—  *  9  Draconis  (H.) 

h    ra                                                 °      ' 

R.A.  10  24.0,                       Dec.  +  76  23. 

Upper  transit  at  fictitious  meridian. 

Sictercfil  Dflv 

AToQTi  Tln^r 

*0« 

^         It 

^ 

** 

** 

** 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in  Diff.  for 
10  y.       10  d. 

1863. 

8                   " 

1873. 

8                      " 

0 

—0.783—6.82  —  0.463J+7.26 

100 

1.047 

6.531—  0.191      7.24 

8 

// 

200 

1.302 

6.18  -r-0.078!    7.16 

0,Jan.    0  —  0.34 
10+9  63 

+3.040 
3.979 

—31 
32 

+088 

884 

—17.33 
16.18 

—  4 
5 

+  86 
142 

300 
400 

1.546 
1.777 

5.78 
5.33 

0.345     7.03 
0.609;    6.r3 

20 

19.60 

4.799 

32 

750 

14.50 

6 

193 

30 

29.57 

5.471 

31 

592 

12.36 

7 

235 

1866. 

1871. 

Feb.    9 

8.55 

5.976 

30 

415 

9.83 

8 

268 

0 

—1.701—  5.49;  +0.520 

+6.90  : 

19 
Mar.   1 
11 
21 

18.52 
0.49 
10.46 
20.44 

6.298 
6.432 
6.380 
6  153 

27 
24 
20 
16 

228 
+  40 
-142 
310 

7.04 
4.10 
—  1.13 
+  1  74 

8 
9 
9 

8 

289 
298 
294 
279 

100 
200 
300 
400 

1.922 
2.126 
2.312 
2.477 

5.00 
4.47 
3.90 
3.30 

0.780 
1.034 
1.278 
1.511 

6.67 
6.38 
6.04 
5.66 

31 

30.41 

5.767 

11 

458 

4.41 

8 

253 

1867. 

1875. 

100,  Apr.  10 
20 
30 

9.38 
19.36 
29.33 

5.246 
4.617 

3.909  . 

6 
—  2 

+  2 

580 
674 
737 

6.76 
8.71 
10.21 

7 
7 
5 

217 
174 
125 

0 
100 
200 

—2.4241—3.51 

2.575|    2.89 
2.704     2  24: 

+1.434 
1.659 
1.869 

+5.79 
5.37 
4.91 

May  10 

9.30 

3.152 

6 

771 

11.20 

4 

72 

300 

2.809 

1.57 

2.GGC 

4.40 

20 

19.27 

2.377 

10 

776 

11.64 

2 

+  17 

400 

2.889     0.89; 

2.243 

3.86 

30 

29.25 

1.610 

12 

749 

11.53 

—  1 

—  38 

1868  B. 

1876  B. 

June  9 
19 

8.22 
18.19 

0.877 
+0201 

14 
15 

708 
641 

10.88 
9.71 

0 
+  1 

91 
142 

0 

-2.865 

—1.12 

+2.185+4.05 

29 

28.16 

—0.399 

16 

557 

8.06 

2 

188 

100 

2.928 

—0.44 

2.351 

3.49 

July   9 

8.14 

0.908 

15 

459 

5.96 

3 

230 

200 

2.966 

+0.25' 

2.498 

2.90 

300 

2.978 

0.93! 

2.624 

2.29 

200,          19 

18.11 

.313 

14 

350 

3.48 

4 

267 

400 

2.964 

1.61 

2.728 

1.65 

29 

28.08 

.605 

12 

232 

+  0.65 

4 

24)7 

Aug.  8 

7.06 

.775 

10 

—108 

—  2.44 

5 

320 

1869. 

1877. 

18 

28 

17.03 

27.00 

.819 
1.734 

6 

+  2 

+  20 
151 

5.74 
9.18 

5 
5 

338 
349 

0 
100 

—2.971 
2.939 

+1.38 
2.04 

+2.695+1.87 
2.785     1.22 

Sept.  7 
17 

27 

5.97 
15.95 
25.92 

1.517 
.170 
0.692 

—  2 
8 
13 

282 
413 
541 

iy.70 
16.22 
19.67 

5 
5 
4 

353 
350 
340 

200 
300 
400 

2.883 
2.802 
2.696 

2.69 
331 
3.90 

2.852+0.57 
2.895!—  0.09 
2.915J    0.75 

Oct.    7 
17 

5.89 
15.86 

—0.089 
+0.633 

19 
25 

664 
779 

22.99 
26.09 

4 
3 

322 

297 

1870. 

1878. 

0 

-2.735  +3.70i  +2.911 

—0.53 

300,          27 

25.84 

1.466 

30 

883 

28.91 

2 

265 

100 

2.614 

4.27 

2.915 

1.19 

Nov.  6 
16 

4.81 
14.78 

2.394 
3.402 

36 
42 

971 

1040 

31.36 
33.38 

0 

225 
179 

200 
300 

2.470 
2.306 

4.80 
5.29 

2.894     1.84 
2.849     2.48 

26 

24.76 

4.467 

47 

1085 

34.91 

—  2 

127      400 

2.123     5.72 

2.781 

3.10 

Dec.   6 

4.73 

5.562 

51 

1101 

35.90 

3 

70 

1871. 

1879. 

16 
26 
36 

14.70 
24.67 
34.65 

6.658 
7.721 

+8.718 

55 
57 
—59 

1085 
1036 
+952 

36.30 
36.11 
35.32 

5 

6 

—  7 

-  11 

+  49  i  100 

i    i  no    M    -IvJU 

+108   |  200 

—2.187 
1.992 

1.780 

+5.58 
5.99 
6.34 

+2.807'—  2.89 
2.723!    3.49 
2.616J    4.07 

I 

300 

1.554 

6  64 

2  487 

4.60  ' 

i 

400 

1.315 

U.U^t 

6.8c 

£337 

5.11 

*  8  Mean  Sun,     Feb.  25  8. 

1872  B. 

1SSOB. 

*  6  0,                 Aug.  S7.1. 

0 

—  1.397  +6.8J  1+2.390 

-4.94 

;jc  6  Mean  Sun,     Aug.  27.4. 

100 

1.15i 

7.01      2.22U 

542 

200 

0.896 

7.15;'      2.043 

5.85 

300 

0.635 

7.21      1.84?, 

C..M4 

!  400  —0.369  +7.26  +1.626  —  6.f.7 

SPECIAL  TABLES. 


TABLE  XXIV.—  p  Leonis. 

h    m                                                     °      ' 

E.A.  10  26.0.                       Dec.  +    9  58. 

Upper  transit  at  fictitious  meridian 

• 

A0tt 

V 

Side- 
real 
Day. 

*p« 

*n' 

*8« 

& 

Sidereal  Day. 

Mean  Day. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                     " 

1873. 

8                    " 

0 

+0.573 

—6.77 

—0.896 

+7.24 

100 

0.483 

6.48 

0.835 

7.22 

8 

// 

200 

0.389 

6.1-2 

0.767 

7.14 

0,  Jan.    0 

—  0  34 

+0.758 

—  3 

+302 

—  4.67 

+   1 

-172 

300 

0.291 

5.72 

0.694 

6.99 

10 

+  9.63 

1.045 

3 

272 

6.29 

+  1 

151 

400 

0.191 

5.26 

0.614 

6.79 

20 

19.60 

1.299 

£ 

234 

7.69 

0 

127 

30 

29.57 

1.511 

2 

189 

8.83 

0 

100 

1866. 

1874. 

Feb.   9 

8.55 

1.676 

1 

140 

9.69 

0 

72 

0 

+0.2251—5.42 

—0.642 

+6.87 

19 
Mar.   1 
11 
21 

18.52 
0.49 
10.46 
20.44 

1.792 
1.861 

1.885 
1.886 

—  1 

0 
0 
0 

92 
46 

±3? 

10.27 
10.58 
10.66 
10.54 

—  1 
1 

2 
2 

45 
—  20 
+    2 
22 

100 
200 
300 
400 

0.123     4.93 

+0.020     4.40 
-0.082     3.83 
0.185!    3.22 

0.559     6.63 
0.472     6.34 

0.38l|    5.99 
0.288|    5.60 

31 

30.41 

1.813 

+  1 

69 

10.23 

2 

37 

1867. 

1875. 

100,  Apr.  10 
20 
30 

938 
19.35 
29.33 

1.731 

1.630 
1.517 

2 
2 
2 

93 

108 
118 

9.80 

9.28 

8.70 

2 

2 
3 

48 
55 
60 

0 

100 
200 

—0.150 
0.251 
0.350 

—3.43 

2.80 
2.15 

—  0.320|+5.74 
0.221     532 
!     0.127     4.85 

May  10 

9.30 

1.3U6 

3 

121 

8.08 

3 

62 

300 

0.446 

1.49  -0.029 

4.34 

20 

19.27 

1.276 

3 

119 

7.47 

3 

61 

400 

0.538 

0.81 

;+0.069j     3.80 

30 

29.25 

1.160 

3 

112 

6.87 

2 

59 

1868  B. 

1876  B. 

June  9 
19 

29 

July    9 

8.22 
18.19 
28.16 
8.14 

1.053 
0.960 

0.882 
0.820 

3 
2 
2 
2 

101 

86 
70 
52 

6.30 
5.78 
5.31 
4.94 

2 
2 

2 

1 

55 
49 
42 
33 

0 
100 
200 
300 

—0.508 
0.596 
0.680 
0.757 

—1.04 
—0.36 
+0.33 
1.01 

+0.036 
0.134 
0.230 
0.3-25 

+3.99 
3.43 

2.83 
2.22 

200,          19 

18.11 

0.779 

2 

31 

4.67 

1 

24 

400 

0.828 

1.68 

0.418J     1.58 

29 
Aug.  8 

28.08 
7.05 

0.758 
0.700 

1 

+  1 

—  10 
+  15 

4.47 
4.42 

1 

—  1 

+  12 
—    2 

1869. 

1877. 

18 

17.03 

27.00 

0.788 
0.841 

0 
0 

40 

68 

4.51 
4.76 

0 
0 

17 
34 

0 
100 

—0.805 
0.870 

+1.46 
2.12 

'+0.387 
0.477 

+1.79 
1  15 

Sept.  7 
17 

5.97 
15.95 

0.925 
1  039 

—  1 
1 

99 
130 

5.19 
5.83 

0 
0 

53 
75 

200 
300 
400 

0.928 
0.978 
1.019 

2.76      0.563 
3.37      0.645 
3.96!    0.722 

+0.50 
—0.16 

0.82 

27 

25.92 

1.186 

2 

164 

6.69 

0 

97 

Oct.    7 

5.89 

1.368 

2 

198 

7.76 

0 

120 

1870. 

1878. 

17 

15.86 

1.583 

3 

232 

9.08 

0 

142 

0 

-1.006 

+3.7?  :+0.69? 

—0.60 

300,          27 

25.84 

1.832 

3 

264 

10.58 

0 

162 

100 

1.042 

4.33      0.77( 

1<25 

Nov.  6 

4.81 

2.110 

3 

292 

12.30 

+  1 

180 

200 

1.068 

4.85      0.83( 

1.90 

16 

14.78 

2.414 

4 

315 

14.16 

1 

191 

300 

J.085 

5.33      0.896 

2.53 

26 

24.75 

2  737 

4 

330 

16.10 

1 

198 

40< 

1.093 

5.76,     0.949 

3.15 

Dec.  6 

4.73 

3.071 

4 

336 

18.09 

+  1 

200 

1871. 

1870. 

16 
26 
36 

14.70 
24.67 
34.64 

3.405 
3.730 
+4.036 

4 
-3 
—  3 

331 
317 

+293 

20.07 
21.96 
-23.70 

0 

•1 

195 
183 
-165 

10( 

—  1.C91 

1.093 
1.085 

+5.62 
6.02 
6.36 

+0.93-2 

().98€ 
1      1.019 

-2.94 
3.54 
4.11 

301 

l.OGfe 

6.66      1.05( 

4  65 

400 

1.642 

6.8U 

1.073|    5.15 

1872  B. 

38SOB. 

5fc  (5  ©,                 Aug.  27.6. 

5fc  <5  Mean  Sun,     Aug.  27.9. 

0 
100 

—1.052 
1.0-21 

'+6.82 
7.01 

+1.066!—  4.98 
1.083J     5.45 

200 

0.98C 

7.15 

;      1.09C 

5.88 

30( 

0.932     7.23 

1      1.088 

6.  -26 

400 

—  0.876'+7.24 

+1.07?  -6.fc8 

SPECIAL  TABLES. 


149 


TABLE  XXIV.-I7  Argus. 

km                                                       °      ' 

R.A.  10  40.0.                       Dec.  —  59    0. 

Upper  transit  at  fictitious  meridian. 

AQa 

A0<J 

Side- 
real 

AQa 

A    6 

i   Ana 

AO<* 

Mean  Day 

Day. 

j 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

18-70. 

Var.  iu  Diff  for 
10  y.  |    10  d. 

• 

1865. 

8                    " 

18 

7S. 

I 

0+1.256—6.44 

j-  1.156+7.13 

100     1.245 

0.1U 

!     1.192 

/  *  Oo 

8 

// 

200     1.223 

5.71 

1.217 

6.92 

0,  Jan.   0  —  0.34 

+1.347 

—  2 

+447 

+14.30 

+  3 

—286 

300!     1.190 

5.27 

1.233 

6.74 

10   +  9.64 

1.768 

—  1 

393 

11.25 

3 

322 

400     1.146 

4.79 

1.238 

6.49 

20  |     19.61 

2.130 

0 

327 

7.89 

3 

349 

j 

30 

29.58 

2.420 

+  1 

253 

4.31 

3 

387 

1836. 

1874. 

Feb.  9 

8.56 

2.634 

2 

175 

+  0.59 

3 

375 

0 

+1.162—495 

'—  1.237 

+6.58 

19 
Mar.   1 
11 
21 

18.53 
0.50 
10.47 
20.45 

2.769 

2.828 
2.812 
2.730 

3 
4 
5 
6 

97 
+  21 
—  50 
114 

—  3.15 

6.83 
10.38 
13.69 

3 
3 
3 
3 

373 

363 
344 
318 

100 
200 
300 
400 

1.112 

1.052 
0.083 
0.906 

4.44 
3.89 

2*.6S 

|     1.236 
1.2^4 
!     1.2C2 
1.170 

G  30 
5.97 
5.59 
5.17 

31       30.42 

2.587 

6 

171 

16.72 

o 

287 

1867. 

S, 

?5. 

100,  Apr  10        9.39 
30       19.36 

2.391 
2.153 

6 

7 

219 

256 

19.42 
21.72 

2       251 
1       210 

0 
100 

+0.933 

0.850 

—2.89 
2.25 

—  1.1  821+5.  32 
L144     4.87 

30       29.34 

1.882 

6 

284 

23.61 

+  1 

165 

200 

J.6o 

1.C96 

4.37 

May  10         9.31 

1.587 

6 

305 

25.02 

0 

118 

300 

0.663 

0.94 

1.040 

3.85 

20       19.28 

1.274 

5 

317 

25.96 

0 

69 

400 

0.560 

0.26 

1    0.975 

.     3.29 

30 

29.26 

0.955 

5 

320 

26.39 

—  1 

—  18 

1868  B. 

1876  B. 

June  9         8.23 
19       18.20 
29       28.17 
July  9         8.15 

0.637 
0.327 
+0.035 
—0.234 

5 
4 
3 
2 

315 

302 
282 
254 

28.32 
25.76 
24.71 
23.21 

1 
1 

2 
3 

+  32 
81 
128 
171 

o 

100 
•  200 
300 

+0.595 
0.490 
0.380 
0.267 

—0.49 
+0.19 
0.86 
1.52 

—0.998+3.48 
0.927      2.90 
0.849     2.30 
0.764     1  68  ! 

200,          19  !     18.12 

"  0.470 

+  1 

216 

21.31 

4 

207 

,  400     0.152 

2.17 

0673 

1.05 

29  j    28.09 

0.664 

0 

172 

19.08 

4 

240 

Aug.  8  j      7  06 

0.812 

0 

121 

16.53 

4 

264 

1869. 

1S77. 

18 

28 

17.04 
27.01 

0.903 
0.932 

—  1 

2 

—  61 
+    4 

13.82 
10.98 

4 
4 

279 

285 

0 
1  100 

+0.191 

+0.075 

+1.96 
2.60 

—  0.705.  -H.  20 
0.610+0.61 

Sept.  7 
17 

27 

5.98 
15.95 
25.93 

0.893 
0.782 
0.598 

2 
3 
3 

74 
147 
222 

8.16 
5.44 
2.93 

4 
4 
4 

279 
263 
236 

200 
300 
400 

—0.042 
0.157 
0.271 

3.21 

3.80 
4.34 

0.509 
0.404 
:     0.295 

-0.03 
0.68 
1.32 

Oct.    7 

5.90 

0.339 

4 

294 

—  0.75 

4 

199 

187O. 

1878. 

17        15.87 

—0.012 

4 

361 

+  1.02 

3 

153 

0—0.233+4.16 

—0.333—1.11 

300,          27 

25.85 

+0.380 

4 

420 

2.28 

2 

98 

100     0.346     4.68 

0.222 

1.75 

Xov.  6 

4.82 

0.8^5 

3 

468 

2.97 

2 

+  38 

200     0.455     5.16 

—0.130 

'    2.37 

16 

14.79 

1.312 

3 

503 

3.04 

—  1 

—  24 

30()l     0.560     5.60 

+0.004 

•2.98 

26 

24.76 

1.827 

3 

523 

2.49 

0 

86 

400J     0.060|    5.98 

0.11- 

1    3.56 

Dec.  6 

4.74 

2.353 

3 

525 

+  1.32 

0 

148 

1871. 

1S79. 

16 
26 
36 

14.71 

24.68 
34.65 

2.872 
3.367 
+3.821 

2 
—  1 
0 

510 
477 

+429 

-  0.46 
2.78 
—  5.57 

+  1 
1 
+  2 

206 

257 
—  2^9 

0 
100 

1  200 

—0.6271+5.86 
0.723J    6.21 
0.812     6.51 

+0.079—3.37 
0.193     3.93 
.     0.305     4.47 

300 

0.895     6.75 

0.415 

4.97 

;  400 

0.970J    6/J4 

!    0.5^ 

5.43 

1872  B. 

1880  B. 

^c  6  Mean  Sun,     Aug.  31.5. 
*  6  0,                 Aug.  31.5. 

0 

-0.945+6.Sr 

+0.486 

—5.28 

1  100 

1.015 

7.02 

0.591 

5.71 

200 

1.075     7.11 

0.6&! 

(5:09 

300 

1.127     7.14 

0.783 

(5.  40  ' 

400—1.169+7.11 

+0.871 

*w 

150 


SPECIAL  TABLES. 


TABLE  XXIV.—  I  Leonis. 

h    m                                                    °      ' 

R.A.  10  42.4.                       Dec.  +  11  14. 

Upper  transit  at  fictitious  meridian. 

AQa 

' 

A0<* 

Side- 
real 

AQa 

A    * 

A^a 

AaJ 

Day. 

SiQcrtul  Duy. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

s              " 

1873. 

s                 " 

0 

+0.558 

—6.38 

—0.886 

+7.10 

100 

0.468 

6.04 

0.824 

7.02 

s 

/' 

200 

0.374 

5.64 

0.756 

6.88 

0,Jan.    0 

—  0.33 

+0.673 

—  3 

+312 

—  5.16 

+  1 

—174 

300 

0.275 

5.20 

0.681 

6.69 

10 

+  A64 

0.973 

3 

285 

6.79 

1 

152 

400 

0.175 

4.71 

0.601 

6.44 

20 

19.61 

.240 

2 

247 

8.18 

+  1 

126 

30 

29.58 

.466 

o 

204 

930 

0 

98 

1866. 

1874. 

Feb.    9 

19 
Mar.   1 
11 
21 

8.56 

18.53 
0.50 
10.47 
20.45 

.147 

.781 
.866 
.906 
.904 

2 

1 
—  1 

0 

+  1 

158 

109 
62 

+  18 
—  22 

10.14 

10.68 
10.93 
10.94 
10.74 

0 

—  1 
1 
1 

1 

69 

39 
—  12 

+  10 
30 

0 
100 
200 
300 
400 

+0.2091—4.88 
0.107     4.36 
+0.004     3.80 
—0.098     3.21 
0.201  1    2.59 

—0.629 
0.545 
0.458 
0.366 
0.272 

+6.53 
6.24 
5.90 
5.52 
5.09 

•31 

30.42 

.865 

1 

54 

10.35 

2 

45 

1867. 

1875. 

LOO,  Apr.  10 
20 

9.39 
19.37 

.798 
.706 

1 

2 

81 
100 

9.85 
9.24 

2 

2 

56 
(55 

0 
100 

—0.166 
0.267 

—2.80 
2.16 

—0.304;  +5.^4 
0.209     4.78 

30 

29.34 

.600 

2 

110 

8.57 

2 

68 

200 

0.366 

1.51 

0.111 

4.29 

May  10 
20 

9.31 

19.28 

.488 
.370 

2 
2 

116 
117 

7.89 
7.23 

2 

2 

67 
65 

300 
400 

0.461 
0.552 

0.84 
0.17 

—0.013 
+0.085 

3.76 
3.20 

30 

29.26 

.255 

2 

112 

6.59 

2 

62 

1868  B. 

1876  B. 

June  9 

8.23 

.147 

3 

104 

6.00 

2 

56 

19 

18.20 

.048 

3 

93 

5.48 

2 

48 

0 

-0.522 

—0.39 

+0.052+3.39 

29 

July   9 

28.18 
8.15 

0.962 
0.892 

3 

2 

78 
61 

5.05 
4.70 

2 
2 

39 
30 

100 

200 

0.610 
0.692 

+0.28 
0.95 

0.149!     2.81 
0.246     2.21 

«/ 

300 

0.769 

1.61 

0.341!     1,59 

200,          19 

18.12 

0.840 

2 

43 

4.46 

2 

18 

400 

0.838 

2.26 

0.432 

0.95 

29 

28.09 

0.806 

1 

—  24 

4.34 

1 

+    6 

Aug.  8 

7.07 

0.793 

+  1 

0 

4.35 

1 

—    9 

1869. 

1877. 

18 

28 

17.04 
27.01 

0.806 
0.844 

0 
0 

+  25 
52 

4.52 
4.8f 

1 

26 
44 

0 

100 

—0.815 

0.880 

+2.04 

2.C8 

+0.402'+!.  16 
0.491|+0.52 

Sept.  7 
17 
27 

5.98 
15.96 
25.93 

0.911 

1.008 
1.139 

—  1 
1 

I 

82 
114 
149 

5.40 
6.14 

7.09 

0 
0 
0 

63 

84 
106 

200 
300 
400 

0.937 
0.985 
1.025 

3.28 

3.86 
4.40 

0.577 
0.658 
0.734 

—0.13 
0.78 
1.42 

Oct.    7 

5.90 

1.307 

2 

185 

8.27 

4-  i 

129 

1870. 

1878. 

17 

15.87 

1.509 

2 

220 

9.67 

i 

150 

0 

—  .013 

+4.22 

+0.7091—1.20 

300,          27 

25.85 

1.746 

3 

254 

11.26 

i 

170 

100 

.047 

4.74 

0.781 

1.84 

Nov.   6 

4.82 

2.016 

3 

285 

13.05 

i 

186 

200 

.071 

5.21 

0.846 

2.46 

16 

14.79 

2.31:} 

4 

310 

14.96 

i 

197 

300 

.087 

5.64 

0.905 

3.06 

26 

24.77 

2.633 

4 

328 

16.98 

+  i 

204 

400 

.OJ3 

6.02 

0.956 

3.64 

Dec.    6 

4.74 

2.966 

4 

337 

19.02 

0 

203 

1871. 

1879. 

16 
26 
36 

14.71 

24.68 
34.66 

3.303 
3.634 
+3.948 

4 
4 
4 

336 
324 

+303 

21.03 
22.95 
—24.71 

0 
0 
0 

197 
185 
—166 

c 

100 
200 

—  .092 
.092 

.083 

+5.90 
6.24 
6.53 

-1-0.940 
0.986 
1.024 

—3.44 

4.00 
4.53 

300 

.065 

6.77 

1.054 

5.02 

400 

6/J4 

1.'075 

5i48 

1872  B. 

}88O  B. 

#  6  0,                 Sept.  1.9. 
;jc  6  Mean  Sun,     Sept.  1.1. 

0 

—1.047 

+6.89 

+1.0691—5.33 

100 

1.014 

7.0:) 

1.084 

5.75 

200 

0.973 

7.1  1 

1.090 

6.12 

300 

0.922 

7.15?      1.087 

6.45 

400 

^0.866  +7.08  '+1.074 

-6.71 

SPECIAL  TABLES. 


151 


TABLE  XXIV.—  rf  Leonis. 

h    m                                                     °      ' 

K.A.  11    7.2.                       Dec.  +  21  14. 

Upper  transit  at  fictitious  meridian. 

Sidcrccil  Day 

^Iccin  Day 

A0a 

V 

Side- 
real 
Day. 

-a- 

V 

M- 

*a* 

187O. 

Vnr.  in 
10  y. 

Diff.  foi 
10  d. 

1870. 

Vur.in 
10  y. 

DifT.  for 
10  d. 

186-3. 

1873.^ 

0 

+08.470 

—5.73 

—  0.  839  +6.82 

100 

0.372 

5.32 

0.767 

6.65 

I 

// 

200 

0.271 

4.87 

0.689 

6.43 

0,Jau.    0 

—  0.32 

+0.560 

—  3 

+336 

—  8.39 

0 

—153 

300 

0.168 

4.37 

0,606 

6.16 

10 

+  9.66 

0.885 

3 

311 

9.77 

0 

123 

400 

0.063 

3.83 

0.518 

5.84 

20 

19.63 

1.180 

3 

278 

10.83 

0 

89 

30 

29.60 

1.439 

2 

237 

11.54 

—  I 

56 

1866. 

187i. 

Feb.   9 

8.57 

1.652 

2 

191 

11.89 

1 

—  17 

0 

+0.098 

—4.01 

—0.548+5.95 

19 
Mar.   1 
11 
21 

18.55 
0.52 
10.49 
20.47 

1.819 
1.935 
2.001 
2.023 

2 
1 
—  1 
0 

142 
91 
43 

+    2 

11.89 
11.58 
11.00 
10.20 

2 
2 
2 
2 

+  16 
45 
70 

88 

100 
201) 
300 
400 

—0.007 
0.112 
0.217 
0.320 

*  3.45 
2.86 
2.24 
1.61 

0.458 
0.363 
0.266 
0.167 

5.60 
5.20 
4.76 

4.28 

31 

-   30.44 

2.006 

4-  i 

—  35 

9.26 

3 

100 

1867. 

1875. 

100,  Apr.  10 
20 
30 

9.41 
19.38 
29.36 

1.955 
1.876 
1.778 

t 
i 

2 

66 
90 
107 

8.22 
7.13 
6.06 

CO  CO  CO 

107 
109 
105 

0 
100 
200 

—0.2851—1.82 
0.386     1.18 
0.484  —0.52 

—0.201 

—O.JO! 
0.000 

+4.44 
3.94 
3.40 

May  10 
20 

9.33 
19.30 

1.664 
1.544 

2 
2 

118 
121 

5.04 
4.13 

3 
3 

97 

85 

300 
400 

0.577 
0.665 

+0.14 
0.80 

+0.101 
0.201 

2.  84 
2.25 

30 

29.27 

1.424 

3 

120 

3.36 

3 

71 

1SG8  B. 

1876  B. 

June  9 

8.25 

1.3L5 

3 

116 

2.72 

2 

54 

19 

18.22 

1.194 

3 

107 

2.27 

2 

36 

0 

—0.636 

+0.58  +0.167 

+2.45 

29 

28.19 

1.092 

3 

96 

2.00 

1 

+  17 

100 

0.720 

1.23 

0.96C 

1.86 

July  9 

8.16 

1.003 

2 

82 

1.93 

—  1 

±    3 

200 
300 

0.797 
0.868 

1.87 

2.50 

0.363 
0.456 

1.-24 

+0.62 

200,          19 

18.14 

0.929 

2 

66 

2.05 

0 

22 

400 

0.931 

3.10 

0.546—0.01 

29 

28.11 

0.872 

I 

46 

2.36 

0 

42 

Aug.  8 

7.08 

0.837 

+  1 

—  24 

2.88 

0 

63 

1869. 

1877. 

18 

28 

17.06 
27.03 

0.8-25 
0.839 

0 
0 

+  M 

3.62 
4.54 

+  1 

83 
104 

0 
100 

-0.911+2.90 
0.96*!     3.49 

+0.516 

+0.19 
—0.44 

Sept.  7 
17 
27 

6.00 
15.97 
25.95 

0.883 
0.958 
1.068 

—  1 
1 
2 

59 
92 
123 

5.69 
7.05 
8.61 

1 
1 

1 

125 
146 
166 

200 
300 
400 

1.017     4.04 
1.0571     4.55 
1.0881    5.03 

4X685 
0.762 
0.833 

1.07 
1.69 
2.^0 

Oct.    7 

5.92 

1.215 

2 

167 

10.37 

1 

184 

187O. 

1878. 

17 

15.89 

1.403 

3 

206 

12.29 

1 

200 

0 

—1.0791+4.87 

+0.810—2.10 

300,         27 
Nov.  6 

25.86 
4.84 

1.627 
1.890 

3 
4 

244 

279 

14.37 
16.55 

1 
1 

213 

221 

100 
200 

1.103     5.3-2 
1.118     5.71 

0.876     2.69 
0.935     3.27 

16 

14.81 

2.184 

4 

309 

18.78 

1 

224 

300 

1.124     6.09  j    0.987 

3.82 

26 

24.78 

2.506 

5 

333 

21.01 

2 

221 

400 

1.1191    6.36 

1.030 

4.34 

Dec.   6 

4.76 

2.848 

5 

348 

23.17 

2 

211 

1871. 

1879. 

16 
26 
36 

14.73 

24.70 
34.67 

3.199 
3.549 
+3.687 

5 
5 
—  5 

352 
346 

+328 

25.20 
27.03 
—28.59 

1 
+  1 

0 

194 
171 
—143 

0 
100 

200 

—1.122 
.111 
.091 

+0.26 
6.52 
6.72 

+1.016—4.17 
1.054     467 
1.083!     5.13 

i 

300 

1.062 

6.87 

1.104^    5.54 

400 

!024 

1873  IS. 

15*0  JB. 

sfc  d  O,                 Sept.  8.0. 

>jc  6  Mean  Sun,     Sept.  7.4. 

0 

-1.038 

+6.92 

+1.112;—  5.80 

100 

0.994 

6.98 

1.117 

6.14 

200 

0.942 

6.97 

1.112 

643 

300 

0.882 

6.90 

1.09* 

6.66 

400 

—0.815+6.77  +1.075 

-6.84 

152 


SPECIAL  TABLES. 


TABLE  XXIV.-tf  Crateris. 

h    m                                                      o      / 

R.A.  11  12.8.                      Dec.  —  14    5. 

Upper  transit  at  fictitious  meridian. 

Side- 

A/^tt 

' 

^/T>4 

' 

real 

AQ# 

AQ^ 

AQ(Z 

AO^ 

Sidereal  Da 

Day. 

1S7O. 

Var.inDiff.for 
10  y.      10  d. 

187O. 

Var.in 
lUy. 

Diff.  f  oi- 
lO  d.    ! 

1865. 

s              " 

1873. 

s               " 

! 

0 

+0.742 

—5.57 

—0.969+6.74 

100 

0.669 

5.15 

0.930     6.56 

8 

// 

200 

0.591 

4.68 

0.883     6.32 

0,Jan.    0 

—  0.31 

+0.527 

—  3 

+320 

f  3.05 

+  2 

—239 

300 

0.508 

4.17 

0.830 

6.03 

10  |+  9.66 

0.835 

2 

294 

+  0.64 

2 

241 

400 

0.420 

3.62 

0.770 

5.69 

20 

19.63 

.113 

2 

262 

—  1.76 

2 

237 

30 

29.61 

.357 

1 

223 

4.09 

3 

227 

1866. 

1874. 

Feb.   9 

8.58 

.557 

1 

178 

6.29 

3 

212 

0 

+0.449 

—3.81 

—0.791+5.81 

19 

Mar.  1 

n 

21 

18.55 
0.52 
10.50 
20.47 

.712 

.822 

.ass 

.912 

—  1 

0 
0 
+  I 

132 

88 
45 
+    5 

8.31 
10.12 
11.70 
13.02 

2 
1 

+  I 
0 

192 
170 
145 
119 

100 

200 
300 

400 

0.359 
0.265 
0.169 
0.072 

3.24 

2.64 
2.02 
1.38 

0.726 
0.656 
0.581 
0.500 

5.44 
5.03 

4.58 
4.08 

31 

30.44 

.900 

1 

-29 

14.08 

0 

94 

1867. 

1875. 

100,  Apr.  10 
20 
30 
May  10 
20 

9.41 

19.39 
29.36 
9.33 
19.31 

1.857 
1.790 
1.704 
1  604 
1.497 

2 
2 
3 
3 
3 

56 
77 
94 
104 
110 

14.90 
15.47 
15.80 
15.91 
15.81 

1 
1 
2 
2 

69 
45 
—  22  ; 
0  ; 
+  21 

0 
100 
200 
300 
400 

+0.105 
+0.006 
—0.092 
0.189 

0.285 

—1.60 
0.95 
—0.29 
+0.36 
1.02 

—0.528+4.25 
0.445     3.74 
0.358     3.20 
0.2691     2.63 
0.177     2.04 

30 

29.28 

1.385 

3 

113 

15.50 

2 

40  i 

1868  B. 

1876  B. 

June  9 

8.25 

1.273 

3 

111 

15.01 

2 

57 

19 

18.22 

1.165 

3 

106 

14.36 

2 

73  ' 

0 

—0.253+0.80 

—  0.2C8  +2.24 

29 

28.20 

1.063 

3 

99 

13.55 

2 

88 

100 

0.346 

1.45 

0.116 

1  64 

July  9 

8.17 

0.969 

3 

88 

12.61 

2 

99  i 

200 

0.437 

2.08 

—0.022 

1.02 

300 

0.524 

2.70 

+0.072+0.39 

200,          19 

18.14 

0.888 

2 

74 

11.58 

2 

108  i 

400 

0.606 

3.29 

0.165—0.24 

29 

28.11 

0.822 

2 

58 

10.47 

2 

112  i 

Aug.  8 

7.09 

0.774 

2 

38 

9.35 

i 

113  i 

1S69.         |         1877. 

18 
28 

17.06 
27.03 

0.748 
0.746 

1 

+  1 

—  15 
+  13 

8.23 
7.19 

2 
I 

109 

99  ! 

0 
100 

—0.579 
0.657 

+3.10!+0.133 
3.67      0.226 

—0.03 
0.66 

Sept.  7 
17 

27 

6.00 
15.98 
25.95 

0.776 
0.838 
0.935 

0 
0 

45 
79 
117 

6.27 
5.52 
5.01 

2 
1 
1 

84 
64  ! 
39 

200 
300 

400 

0.730 
0.796 
.  0.855 

4.20 
4.70 
5.16 

0.317 
0.405 
0.491 

1.28 
1.90 
2.50 

Oct.    7 

5.92 

1.073 

1 

157 

4.76 

1 

+    8  i 

1870. 

1878. 

17 

15.90 

1.250 

1 

196 

4.87 

—  1 

—  27  i 

0 

—0.836 

+5.01  +0.462—2.30 

300,          27 

25.87 

1.465 

2 

235 

5.31 

0 

61 

100 

0.890 

5.44,     0.545     2.88 

Nov.  6 

4.84 

1.719 

2 

271 

6.10 

0 

98  i   200 

0.936 

5.82;    0.623     3.45 

16 

14.81 

2.005 

3 

300 

7.27 

0 

135  !    300 

0.974 

6.15      0.697     3.99 

26 

24.79 

2.317 

3 

322 

8.79 

0 

167 

400 

1.004 

6.42      0.764 

4.49 

Dec.  6 

4.76 

2.647 

2 

335 

10.60 

+  1 

194  | 

1871. 

1879. 

16 
26 
36 

14.73 

24.70 
34.68 

2.984 
3319 
+3.641 

2 
2 
—  2 

338 
330 
+312 

12.65 
14.90 
—17.27 

1 
1 

~*~ 

216 
232  ! 
—240 

0 
100 
200 

—0.995 
1.019 
1.034 

+6.34 
6.57 
6.76 

+0.742 
0.806 
0863 

—4.33 

4.81 
5.25 

: 

300 

1.041 

6.88 

0.913 

5.65 

400 

1.038 

0.956 

G.01 

1872  B. 

188O  B. 

*  6  0,                 Sept.  9.6. 

>fc  8  Mean  Sun,     Sept.  8.8. 

0 

—1.040+6.94 

+0.943 

—5.89 

100 

1.032 

6.96 

0.980 

6.22 

200 

1.015 

6.93J     1.009 

6.49 

300 

0.990 

6.84      1.030 

6.70 

1 

400 

—0.956+6.69  +1.042 

—6.88 

i 

SPECIAL  TABLES. 


153 


TABLE  IXIV.-r  Leonis. 

h    m                                                    °      ' 

R.A.  11  21.3.                        Dec.  +  3    34. 

Upper  transit  at  fictitious  meridian. 

AQa 

A    d 

'Side- 
real 

AQ« 

A^ 

Afta 

AQ<5 

0                     Day. 

AIofiQ  Dsy. 

187O. 

Var.  ia  Diff.  for 
10  y.       10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                      " 

1873. 

B                     " 

0 

+0.606 

—5.33 

—0.902+6.62 

100 

0.521 

4.89 

0.847 

6.41 

g 

// 

200 

0.432 

4.40 

0.7851    6.15 

0,  Jan.   0 

—  0.31 

+0.455 

—  3 

+322 

—  2.81 

+  2 

—205 

300 

0.339 

3.87 

0.717     5.83 

10 

+  9.67 

0.767 

3 

300 

4.79 

2 

191 

400 

0.243 

3.31 

0.644|    5.47 

20 

19.64 

1.052 

2 

269 

662 

2 

172 

30 

29.61 

1.303 

2 

232 

8.21 

1 

147 

1864». 

1874. 

Feb.    9 

8.58 

1.515 

1 

189 

9.55 

+  1 

121 

0 

+0.276 

—3.50 

—0.669 

+5.60 

19 
Mar.    1 
11 
21 

18.56 
0.53 
10.50 
20.47 

1.681 

1.802 
1.880 
1.917 

1 

1 
—  1 
0 

143 

99 
57 

+  18 

10.62 
11.40 
11.92 
12.19 

0 
0 
—  1 
1 

93 
65 
39 
-  15 

100 
200 
300 
400 

0.178 
+0.079 
—0.021 
0.121 

2.92 
2.31 
1.68 
1.04 

0.592 
0.510 
0.424 
0.335 

5.21 
4.77 
4.30 
3.79 

31 

1  30.45 

1.917 

+  1 

—  17 

12.23 

1 

+    6 

1867. 

1875. 

100,  Apr.  10 
20 

9.42 
19.39 

1.884 
1.828 

1 
2 

45 

68 

12.08 
11.77 

1 
1 

24 

37 

0 
100 

—0.087—1.26 
0.186—0.61 

—0.366 
0.274 

+3.97 
3.44 

30 

29.37 

1.750 

2 

85 

11.35 

2 

48 

200 

0.284+0.04 

0.181 

2.88 

May  10 

9.34 

1.659 

2 

95 

10.82 

2 

56 

300 

0.379;     0.70 

—0.087 

2.31 

20 

19.31 

1.561 

2 

102 

10.24 

2 

60 

400 

0.470     1.34 

+0.009 

1.71 

30 

29.28 

1.456 

3 

105 

9.62 

2 

64 

1868  B. 

1876  B. 

June  9 
19 

29 

8.26 
18.23 
2820 

1.353 
1.253 
1.158 

3 

3 
3 

102 

98 
92 

8.97 
8.34 
7.72 

2 
2 

64 

62 
60 

0 
100 

—0.440 
0.529 

+1.13 
1.77 

—0.023+1.91 
+0.072     1.30 

July  9 

8.17 

1.071 

3 

81 

7.15 

1 

55 

200 
300 

0.613 
0.691 

2.39 
2.99 

0.167     0.69 
0.260  +0.06 

200,          19 

18.15 

0.996 

2 

68 

6.63 

1 

48 

1  400 

0.764 

3.56 

0.352—0.56 

29 

28.12 

0935 

2 

53 

6.19 

1 

40  II 

Aug.  8 

7.09 

0.890 

1 

35 

5.84 

1 

30 

1869. 

1877. 

18 
28 

17.07 
27.04 

0.865 
0.865 

+  1  j—  13 
0   +  12 

5.61 
5.54 

—  1 

0 

+  16 
—    2 

0 
100 

—0.740 

0.808 

+3.38 
3.93 

+0.321 
0.410 

—0.36 
0.98 

Sept.  7 
17 

27 

601 
15.98 
25.96 

0.891 
0.948 

.038 

0 
0 

41 
73 

108 

566 
5.98 
6.51 

0 
0 
0 

22 
42 
66 

200 
300 

400 

0.869 
0.9-2  i 
0.967 

445 
4.92 
5.36 

0.497 
0.579 
0.657i 

1.60 
2.20 
2.79 

Oct.    7 

5.93 

.165        2 

146 

7.30 

+  1 

92   1 

1870. 

1878. 

17 

15.90 

.331 

2 

185 

8.35 

1 

118 

0 

—0.953 

+5.21 

+0.631 

—2.59 

300,          27 

25.87 

.535 

3       £23 

9.66 

1 

143   i  100 

0.992 

5.62 

0.706 

3.17 

Nov.  6 

4.85 

.776 

3 

258 

11.21 

1 

166  jl  200 

1.023 

5.97 

0.774 

3.71 

16 

14.82 

2.050 

3       289 

12.98 

2 

187 

300 

1.045 

6.27 

0.837 

4.23 

26 

2479 

2.352 

3 

313 

14  94 

2 

202 

400 

1.058 

6.51 

0.893 

4.72 

Dec.   6 

4.77 

2.674 

3 

329 

17.01 

2 

212 

1871. 

1879. 

16 
26 
36 

14.74 
24.71 
34.68 

3.007 
3.340 
+3.663 

3       335 
3       330 
—  3   +314 

19.15 

21.28 
—23.34 

2 

215   1      0 

oift  1 
<   i  no 

—  20°  ;  #ju 

—1.054+6.44 
1.061     6.65! 
l.OStf    6.80! 

+0.874—4.56 
0.92oi    5.02 
0.969     5.44 

i  snn 

1.048 

K  K.Q; 

1.004 

5.81 

•fc  6  0,                 Sept.  11.9. 
5(c  c5  Mean  Sun,     Sept.  11.0. 

400 

1.028     6.92 

1.031 

6.14 

1872  B.             1880  B. 

0 

—1.036  +6.  92'  +1.023  —6.  03 

100 

1.010     6.92      1.044 

6.33 

200 

0.976     6.85      1.057 

6.57 

300 

0.934     6.731     1.060 

6.75 

400  —0.884+6.56  +1.055;—  6.88 

154 


SPECIAL  TABLES. 


TABLE  XXIV.—*  A  Draconis. 

h    m                                                    °      ' 

R.A.  11  23.7.                       Dec.  +70    3. 

Upper  transit  at  fictitious  meridian. 

AQa 

A0d 

Side- 
real 

A    a 

AQ<5 

AQa       Aa<5 

eanDa 

Day. 

Sidsrcjil  D&y. 

187O. 

Var.in 
10  y. 

Diff.  foi 
10  d. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                    " 

1873. 

8                    " 

0 

—0.603 

—5.26 

—0.279 

100 

0.789 

4.81 

—0.088 

6.37 

8 

// 

200 

0.967 

4.32 

+0.102 

6.10 

0,Jan.   0 

—  0.30 

+1.162 

—14 

+758 

—18.94 

—  1 

—  15 

300 

1.138 

3.79 

0.291 

5.77 

10 

+  9.67 

1.901 

15 

715 

18.78 

2 

+  48 

400 

1.299 

3.22 

0.477 

5.40 

20 

19.64 

2.584 

16 

647 

18.00 

3 

107 

30 

29.61 

3.188 

16 

558 

16.65 

4 

161 

1866. 

1874. 

Feb.    9 

8.59 

3.695 

16 

452 

14.80 

4 

208 

0 

—1.246 

—3.42 

+0.415 

+5.53 

19 
Mar.   1 
11 
21 

18.56 
0.53 
10.51 

20.48 

4.088 
4.358 
4.501 
4.518 

15 
14 
12 
11 

333 

207 
+  79 
—  43 

12.52 
9.92 
7.11 
4.21 

5 
5 
6 
6 

246 
273 

288 
291 

100 
200 
300 
400 

1.400 
1.541 

1.669 

1.783 

2.83 
2.22 
1.59 
0.95 

0.598 
0.777 
0.948 
1.111 

5.14 
4.70 
4.22 
3.71 

31 

30.45 

4.417 

9 

157 

—  1.33 

6 

282 

1867. 

1875. 

100,  Apr.  10 
20 

9.42 
19.40 

4.208 
3.906 

7 
4 

258 
343 

+  1.39 

3.87 

5 
5 

262 
232 

0 
100 

—1.746 
1.849 

—1.17 

—0.52 

+  1.057 
1.214 

+3.88 
3.35 

30 

29.37 

3.528 

—  2 

419 

6.01 

4 

194 

200 

1.936 

+0  14 

1.361 

2.79 

May  10 

9.34 

3.092 

0 

459 

7.73 

4 

150 

300 

2.006 

0.79 

1.496 

2.21 

20 

19.32 

2.616 

+  2 

489 

9.00 

3 

102 

400 

2.059 

1.44 

1.619 

1.61 

30 

29.29 

2.119 

4 

502 

9.76 

2 

+  50 

1868  B. 

1876  B. 

June  9 

8.26 

1.617 

5 

499 

9.99 

—  1 

—    3 

19 

18.23 

1.126 

6 

480 

9.70 

0 

55 

0 

—2.043+1.22 

+1.579 

+1.81 

29 

28.20 

0.661 

7 

449 

8.90 

+  1 

106 

100 

2.085 

1.86 

1.694 

1.21 

July  9 

8.18 

+0.233 

8 

406 

7.60 

154 

200 

2.107 

2.48 

1.794 

+0.59 

300 

2.111 

3.07 

1.880 

—0.04 

200,          19 

18.15 

—0.147 

8 

353 

5.83 

2 

199 

400 

2.097 

3.64 

1  .950 

0.66 

29 

28.12 

0.470 

8 

292 

3.64 

3 

239 

Aug.  8 

7.10 

0.728 

7 

223 

+  1.07 

3 

274 

1869. 

1877. 

18 
28 

17.07 

27.04 

0.913 
1.019 

6 
5 

146 
—  65 

—  1.83 
4.99 

4 
4 

304 
328 

0 
100 

—2.101+3.46 
2.076J    4.00 

+1.928 

1.988 

—0.45 
1.07 

Sept.  7 
17 
27 

6.01 
15.99 
25.96 

1.042 
0.976 
0.817 

3 
+  1 

+  21 
112 

206 

8.37 
11.89 
15.49 

4 
5 
5 

346 

357 
361 

200 
300 
400 

2.0311     4.51 
1.969,     4.98 
1.889J    541 

2.031 

2.058 

2.067 

1 

1.69 
2.29 

2.87 

Oct.    7 

5.93 

0.563 

4 

302 

19.09 

5 

358 

187O. 

1878. 

17 

15.90 

-0.214 

6 

396 

22.62 

4 

347 

0 

—1.918 

+5.27  +2.0661—2.68 

300,          27 

25.88 

+0.228 

9 

488 

26.00 

4 

327 

100 

1.829 

5.67h     2.0641     3.25 

Nov.  6 

4.85 

0.760 

12 

573 

29.14 

3 

300 

200 

1.724 

6.01  I     2.046     3.79 

16 

14.82 

1.372 

14 

648 

31.97 

3 

264 

300 

1.604 

6.30!    2.0101    4.30 

26 

24.80 

2.052 

17 

710 

34.39 

2 

220 

400 

1.471 

6.54 

i     1.958|     4.78 

Dec.   6 

4.77 

2.786 

20 

753 

36.34 

+  1 

169 

1871. 

1879. 

16 
26 
36 

14.74 
24.71 
34.69 

3.550 
4.325 
+5.085 

22 
24 

-25 

773 

772 
+745 

37.76 
38.59 

—38.81 

0 

-  1 

___  9 

113 

—  53 
+    9 

0 

100 
200 

—1.517 
1.376 
1.223 

+6.46  +1.977 
6.66H     1.914 
6.81  ;     1.834 

-4.62 

5.08 
5.49 

300 

1.060 

6  891      i  ?-W 

5.85 

400 

0.889 

6.92 

1.629 

6.17 

1872  B. 

188O  B. 

%  8  Mean  Sun,     Mar.  12.9. 
*  6  0,                 Sept.  12.5. 

0 

—0.948 

+6.91 

+1.668 

—6.07 

>JC  6  Mean  Sun,     Sept.  11.5. 

100 

0.772 

6.90      1.549 

6  36 

200 

0.590 

6.83 

J.416 

6.59 

300 

0.404 

6.70 

1.271 

6.77 

400—0.215 

+6.52 

+1,116 

—6.89 

1                         ii 

SPECIAL  TABLES. 


155 


TABLE  XXIV.—  v  Leonis. 

h    ni                                                       o      ' 

R.A.  11  30.3.                       Dec.  —    0    6. 

Upper  transit  at  fictitious  meridian. 

i 

A0a 

A0d 

Side- 
real 

Aaa 

A^d 

Aaa 

A^ 

Sidereal  Day    '^r^oT^Tiaxr 

Day. 

1870. 

Vur.inDiff.  foi 
10  y.       10  d. 

1870. 

Van.  in 
10  y. 

Diff  for 
10  d. 

1865. 

8                    " 

1873. 

B                    " 

0 

+0.635—  5.06 

—0.916+6.48 

100 

0.553 

4.  DO 

0.865 

6.24 

8 

// 

200 

0.466 

4.09 

0.806 

5.95 

0,  Jan.   0 

—  0.30 

+0.406 

—  3   4-324 

—  1.55 

+  2 

-213 

300 

0.375!    3.55 

0.741 

5.61 

10 

+  9.67 

0.720 

3       303 

3.64 

2 

203 

400 

0.280|    2.97 

0.670 

5.22 

20 

19.65 

.009 

2 

273 

5.60 

1 

187 

30 

29.62 

.264 

2 

237 

7.37 

1 

166 

1866. 

1874. 

Feb.  9 

8.59 

.482 

f     2 

196 

8.91 

1 

141 

0 

-fO.312 

—3.17 

—0.695+5.36 

19  !    18.56 
Mar.  1         0.54 
11  i     10.51 
21       20.48 

.655 

.784 
.871 
.916 

—  1 
0 
0 
0 

151 

108 
66 
4-  26 

10.19 
11.20 
11.96 
12.44 

+  i 

0 
0 

115 
88 
02 
37 

100 
200 
300 
400 

0.216 
0.117 
+0.018 
—0.081 

2.57 
1.96 
1.32 
0.68 

0.621!     4.94 
0.541     4.49 
0.457;     4.00 
0.370     3.47 

31       30.45 

.924 

+  1 

—    8 

12.70 

—  1 

—  15 

1867. 

1875. 

100,  Apr.  10         9.43 

.901 

1 

36 

12.74 

1 

4-    4 

0 

-0.048-0.89 

-0.399'-l-3.65 

20  !    19.40 

.853 

2 

60 

12.62 

2 

20 

100 

0.147—0.24 

0.310 

3.11 

30       29.37 

.782 

2 

78 

12.35 

2 

34 

200 

0.244  M-0.41  !    0.218 

2.54 

May  10 

9.34 

.699 

3 

90 

11.95 

2 

45 

300 

0.340 

1.06|!    0.124 

1.96 

20 

19.32 

.604 

3 

98 

11.46 

2 

53 

400 

0.433 

1.69;    0.030     1.35 

30 

29.29 

.504 

3 

102 

10.90 

2 

59 

1868  B.                1876  B. 

June  9         8.26 
19       18.24 
29       28.21 

July  9        8.18 

.401 
.301 
.204 
1.115 

3 
3 
3 
3 

102 
99 
94 

85 

10.29 
9.65 
9.00 
8.34 

2 
2 
2 
2 

63 
65 
66 
64 

0 
100 
200 
300 

_0.  402  +  1.48 
0.49*     2.11 
0.577     2.72 
0.6571     3.30 

; 

—0.0621+1.56 
+0.033     0.95 
0.128+0.33 
0.221—0.30 

200,          19       18.15 

1.035 

2 

75 

7.72 

2 

60 

400 

0.732     3.85 

0.313 

0.92 

29 

28  13 

0.966 

2 

61 

7.15 

2 

54 

Aug.  8         7,10 

0.915 

2 

43 

6.65 

1 

45 

1869. 

1877. 

J8       17.07 
28       27.04 

0.882 
0.871 

1 
4-  1 

—  23 
+    2 

6.25 
5.99 

1 
1 

33 
19 

0 
100 

—0.707 
0.778 

+3.68 
4.21 

+0.282 
0.373 

—0.72 
1.33 

Sept.  7 
17 
27 

6.02 
15.99 
25.96 

0.888 
0.935 
1.016 

0 
0 
0 

31 
63 

100 

5.87 
5.96 
6.29 

1 

0 

0 

±»1 

45 

200 
300 
400 

0.841 
0.897 
0.945 

4.70 
5.15 
5.56 

0.460 
0.544 
0.623 

1.94 
2.53 
3.10 

Oct.    7 

5.94 

1.135 

—  1 

138 

6.87 

+  1 

70 

1870. 

1878. 

17 

15.91 

1.292 

2 

177 

7.70 

I 

98 

0 

—0.929 

+5.43 

+0.597!—  2.91 

300,          27       25.88 

1.489 

2 

217 

8.83 

1 

126 

100 

0.972 

5.80 

0.673!     3.47 

Nov.  6         4.85 

1.724 

2 

252 

10.22 

1 

152 

200 

1.006 

6.12 

0.744i     3.99 

16       14.83 

1.992 

2 

284 

11.86 

1 

176 

300 

1.031 

6.39 

0.809 

4.49 

26  '    24.80 

2.290 

3 

310 

13.72 

1 

196 

400 

1.047     6.60 

0.867 

4.95 

Dec.  6  i      4.77 

2.609 

3 

327 

15.74 

1 

208 

1871. 

1879.       J 

16 
26 
36 

14.74 
24.72 
34.69 

2.940 
3.274 
+3.599 

3 
3 
—  3 

334 

331 
+317 

1787 
20.04 
—22.18 

2 
2 

+  2 

216 
216 
—211 

0 
100 
200 

—1.043 
1.053 
1.055 

+6.54 
6.71 
6.83 

+0.818 
0.902 
i     0.948 

-4.80 
5.23 
5.62 

300 

1.047 

6^89 

1    0.986 

5.97 

400 

1.031 

6.89 

1.016 

6.27 

1872  B. 

188O  B. 

*  6  Mean  Sun,     Sept.  14.4. 
*  6  0,                  Sept.  13.3. 

100 

—1.037 
1.015 

+6.  90!+  1.007|—6.17 
6.86    .  1.032     6.44 

200     0.985 

6.77 

1.048 

6.64 

300     0.946 

6.621     1.C55 

6.HO 

' 

400;—  0.901: 

+6.41  +1.053—6.89 

156 


SPECIAL  TABLES. 


TABLE  XXIV.-o  Virginis. 

h    m                                                       °       ' 

R.A.  11  58.6.                       Dec.  +    9  27. 

Upper  transit  at  fictitious  meridian. 

A    a 
° 

A0rf 

' 

Side- 
real 

AQ« 

Aad 

A^a 

AQ(J 

. 

Day. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

a              " 

1873. 

8                    " 

0 

+0.551 

—4.18 

—0.867 

+5.98 

100 

0.463 

3.65 

.    0.807 

5.65 

B 

// 

200 

0.372 

3.08 

0.741 

5.27 

0,  Jan.  0 

—  0.28 

+0.240 

—  3 

+334 

—  4.81 

4  2 

—203 

300 

0/277 

2.49 

0.669 

4.85 

10 

+  9.69 

0.567 

3 

319 

6.75 

2 

183 

400 

0.179 

1.88 

0.592 

4.39 

20 

19.66 

0.874 

3 

294 

8.46 

2 

157 

I 

30 

29.64 

1.152 

2 

262 

9.88 

I 

128 

1866. 

1871. 

Feb.   9 

8.61 

1.396 

2 

224 

11.02 

+  1 

98 

0 

+0.212 

—2.09 

—0.619+4.55 

19 
Mar.   1 
11 
21 

18.58 
0.56 
10.53 
20.50 

1.598 
1.758 
1.873 
1.948 

2 
1 
—  1 

0 

181 
137 

95 
55 

11.83 
12.31 
12.48 
12.40 

0000 

64 
32 
—    4 
+  21 

100 
200 
300 

400 

0.113 
+0.014 
—0.086 
0.185 

1.46 

0.82 
—0.18 
+0.47 

:    0.538 
!    0.453 
;    0.365 
1    0.274 

407 
3.55 
3.01 
2.44 

31 

30.47 

1.984 

0 

+  18 

12.08 

—  1 

43 

1867.                     1873. 

100,  Apr.  10 
20 

9.45 
19.42 

1.986 
1.958 

4  i 

:J 

11.56 
10.90 

1 

2 

60 

72 

0 

100 

—0.152 
0.250 

+0.25—0.305 
0.9('i    0.212 

+2.63 
2.05 

30 

29.39 

1.908 

2 

61 

10.14 

2 

79 

200 

0.346 

1.54      0.118 

1.45 

May  10 

9.36 

1.838 

2 

78 

9.34 

2 

82 

300 

0.439 

2.16—0.023     O.b5 

20 

19.34 

1.753 

2 

89 

8.52 

2 

81 

400 

0.528 

2.76+0.073+0.23 

30 

29.31 

1.661 

2 

96 

7.72 

2 

78 

1868  B.                1876  B. 

June  9 
19 

8.28 
18.26 

1.561 
1.457 

3 
3 

102 
103 

6.96 
6.26 

2 
2 

73 
65 

0 

—0.499 

+2.56+0,041 

+0.44 

29 

28.23 

1.356 

3 

100 

5.66 

2 

56 

100 

0.-584 

3.15      0.136 

—0.18 

July    9 

8.20 

1.257 

2 

96 

5.14 

2 

44 

200 
300 

0.665 
0.740 

3.71      0.230 
4.24!    0.322 

0.80 
1.41 

200,          19 

18.17 

1.164 

2 

89 

4.77 

1 

31 

400 

0.808 

4.73k    0.411 

2.00 

29 

28.15 

1.079 

2 

79 

4.53 

—  1 

17 

I! 

Aug.  8 

7.12 

1.006 

2 

65 

4.44 

0 

4-    i 

1869.                     1877. 

18 
28 

17.09 
27.06 

0.951 
0.915 

1 

1 

46 
—  24 

4.51 

4.78 

0 
0 

—  17 

36 

0 
100 

—0.786 

0.849 

+4.57+0.381 
5.03H    0.469 

—1.81 
2.40 

Sept.  7 
17 
27 

6.04 
16.01 

25.98 

0.905 
0.924 
0.976 

0 
—  1 

70 

5.22 
5.91 
6.81 

-J-  1 

1 
1 

57 
79 

102 

200 
301 
400 

0.905 
0.953 
0.993 

5.44      0.552 
5.81      0.63-> 

6.13|    0.706 

2.97 
3.52 
4.03 

Oct.    7 

5.95 

1.066 

1 

110 

7.95 

1 

126 

1870.                    1878. 

17 

15.93 

1.196 

2 

150 

9.33 

2 

150 

[j 

300,          27 

25.90 

3.367 

2 

192 

10.95 

2 

173 

0 
100 

—0.980 
1.014 

+6.03+0.681 
6.31  !    0.75* 

—3.86 
436 

Nov.  6 

4.87 

1.580 

2 

232 

12.77 

2 

192 

200 

1.039 

6.53 

i     0.8Ki 

4.8-2 

16 

14.85 

1.830 

3 

268 

14.77 

2 

208 

300 

1.055 

6.70'     0.874 

5.1*5 

26 

24.82 

2.114 

3 

299 

16.92 

2 

218 

400 

1.062 

6.81 

0.925 

5.63 

Dec.  6 

4.79 

2.425 

3 

321 

19.12 

2 

22-2 

1871. 

1879. 

16 
26 
36 

14.76 
'24.74 
34.71 

2753 
3.090 
+3.424 

3 
4 
—  4 

334 

337 

+329 

21.35 
23.52 
-25.57 

2 
2 

221 
212 
—196 

0 
100 
'200 

—1.061 
1.062 
1.053 

+6.78 
6.85 
6.87 

+0.9081-5.50 
0.954     5.85 
0.992     6.16 

300 

1.036 

6.82 

1.022J     6.41 

400 

1.011 

6.72 

L043J     6.61 

1872  B. 

188OB. 

*  6  ©,                Sept.  22.3. 

%  6  Mean  Sun,     Sept.  20.4. 

d 

—1.020  +6.76  +1.037  —6.55 

. 

100 

0.989 

6.62      J.052 

6.71 

200 

0.949 

6.43 

1.059     6.  £2 

300 

0.902 

6.18 

1.057     6.87 

• 

400 

—0.847  +5.88  +1.046i—  6.86 

SPECIAL  TABLES. 


157 


TABLE  XXIV.—  *  4  Draconis  (H.) 

h    m                                                    °      ' 

R.A.  12    6.1.                       Dec.  +  78  20. 

Upper  transit  at  fictitious  meridian. 

Aoa 

AQ<5 

Side- 
real 

AQ« 

A    * 

AQ° 

AQ<5 

vl/ 

Day. 

i  SidcrcRi  Ds.y. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

187O. 

Var.in 
lOy. 

Diff.  for 

10  d. 

1865. 

8                    " 

1873. 

B                        " 

0 

—1.821 

—3.93 

+0.576 

+5.84 

100 

2.055 

3.39 

0.854 

5.48 

a 

// 

200 

2.271 

2.81 

1.124 

5.08 

0,Jan.    0 

—  0.27 

+0.718 

—18 

+  1214 

-20.23 

0 

—  50 

300 

2.468 

2.21 

1.384 

4.64 

10 

+  9.70 

1.920 

23 

1184 

20.41 

—   1 

+  15 

400 

2.644     1.59 

1.632 

4.16 

20 

19.67 

3.072 

27 

1113 

19.93 

2 

79 

30 

29.64 

4.132 

31 

1003 

18.83 

3 

140 

1866. 

1874. 

Feb.    9 

8.62 

5.065 

33 

856 

17.15 

3 

194 

0 

—2.587—1.80 

+1.5501+4.33 

19 
Mar.    1 
11 
21 

18.59 
0.56 
10.54 
20.51 

5.839 
6.429 
6.820 
7.004 

35 
35 
35 
33 

685 

492 

28c 
+    81 

14.97 
12.39 
9.52 

6.48 

4 
4 
5 
5 

240 
275 
298 
308 

100 
200 
300 
400 

2.747 

2.884 
2.995 
3.080 

1.17 

—0.52 
+0.13 
0.77 

1.789 
2.012 
2.219 

2.406 

3.83 
3.30 
2.74 
2.16 

31 

30.48 

6.983 

30 

—  121 

3.39 

5 

306 

1867. 

1875. 

100,  Apr.  10 
20 

9.45 
19.43 

6.766 
6.370 

27 
23 

310 

479 

—  0.39 
+  2.42 

5 
4 

293 
268 

0 
100 

-3.054 
3.122 

+0.55 
1.20 

+2.345 

2.520 

+2.36 
1.77 

30 

29.40 

5.816 

18 

624 

4.94 

4 

234 

Wo 

3.162 

1.83 

2.673 

1.16 

May  10 
20 

9.37 
19.34 

5.131 
4342 

13 

8 

742 
831 

7.07 

8.75 

3 
3 

192 
143 

300 
400 

3.174 
3.159 

2.45 
3.04 

2.805  +0.55 
2.913|—  0.07 

30 

29.32 

3.478 

—  3 

892 

9.93 

2 

91 

1868  B. 

1876  B. 

June  9 
19 
29 

8.29 
18.26 
28.23 

2.568 
1.641 
+0.721 

+  2 
11 

923 
926 

907 

10.56 
10.65 
10.18 

1 
—  1 
0 

+  36 
—  19 
74 

0 
100 

—3.167+2.84 
3.134     3.4-4 

+2.879J+0.14 
2.971—0.48 

July   9 

8.21 

—0.165 

15 

863 

9.17 

+  1 

128 

200 
300 

3.073     3.9(5 
2  985     4.47 

3.039     1.09 
3.082     1.70 

1200,          19 

18.18 

0.993 

18 

796 

7.64 

2 

178 

400 

2.672     4.94 

3.C99 

2.29 

29 

28.15 

1.755 

20 

715 

5.63 

2 

224 

Aug.  8 

7.13 

2.422 

22 

615 

3.19 

3 

265 

1869. 

1877. 

18 

28 

17.10 
27.07 

2.960 
3.416 

23 
23 

50C 
371 

+  0.35 
-  2.82 

3 
4 

301 
331 

0 
100 

—2913 
2.784 

+4.79 
5.2S 

+3.096J—  2.C9 
3.097     2.67 

27 

6.04 
16.02 
25.99 

3.719 
3.677 

3.880 

22 
21 
18 

23-2 

—    82 
+    76 

6.26 
9.b9 
13.6(3 

4 
5 
5 

355 
372 

381 

200 
300 
400 

2.630 
2.454 
2.257 

5.6-2 
5.97 
6.2K 

3.072     3.23 
3.021      3.77 
2.946!    4.27 

Oct.    7 

5.96 

3.722 

15 

240 

17.49 

5 

187O. 

1878. 

17 

15.93 

3.400 

12 

405 

21.28 

5 

376 

0 

—2.326+6.17 

+2.97:1 

—4.10 

3CO,          27 

25.91 

2.912 

7 

569 

24.97 

4 

360 

100 

2.116'    .6.42 

2.862 

4.58 

Nov.   6 

4.88 

2.263 

H-  2 

727 

28.45 

4 

335 

200 

1.889     6.6* 

2.760 

5.03 

16 

14.85 

1.4(32 

—  4 

873 

31.64 

4 

302 

300 

1.647 

6.77 

2.627 

5.43 

26 

24.83 

-0.523 

10 

1000 

34.46 

3 

260 

496 

1.390 

6.85 

2.46(5 

5.79 

Dec.    6 

480 

+0.531 

16 

1103 

36.81 

2 

209 

1871. 

1879. 

16 
26 
36 

14.77 
24.74 
34.72 

1.673 
2.869 
+4.081 

22 

27 
—33 

1175 
1210 
+1206 

38.63 

39.84 
—40.43 

2 
0 

153 
91 
—  26 

0 
100 
200 

—1.478 
1.214 
0.941 

+6.83 
6.87 
6.86 

+2.5-23—5.67 
2.348     6.00 
2.]53|    6.28 

i 

300 

0.661 

fi7P 

1.940 

fi-SJ 

400 

0.376     6.66 

1.709|    6.68 

1872  B. 

1880  B. 

*  c5  Mean  Sun,     Sept.  22.3. 
>jc  8  Mean  Sun,     Mar.  23.7. 

0 

—0.472'  +6.  71 

+1.769—6.63 

*  c5  ©,                 Sept.  24.4. 

100—0.185     6.54 
•2<>o  +0.1  03     6.3-2 

1.548 
1.294 

6.77 
685 

300     0.389     G.i'f 

1.029 

6.67 

400  +0.671+5.72 

+0.754  —6.83 

i 

158 


SPECIAL  TABLES. 


TABLE  XXIV.-*  /*  Chainaslcontis. 

h    m                                                    °      ' 

R.A.  12  10.8.                       Dec.  —  78  35. 

Upper  transit  at  fictitious  meridian. 

A    a 

0 

A    6 

' 

.Side 
rea 

AQa 

A^ 

AQa 

A    j 

Day 

Sidereal  Day. 

MeanDay 

1870. 

Yar.in 
10  y. 

Diff.  for 
10  d. 

187O. 

Var.in 

10  y. 

Diff.  fo 
10  d. 

1865. 

8                    " 

1873. 

8                     " 

0 

+3.158 

—3.79 

I—  2.485 

+5.74 

100 

3.228 

3.22 

2.6(54 

5.37 

8 

// 

200 

3.269 

2.64 

2.820 

4.96 

0,Jan.   0 

—  0.27 

+0.946 

-13 

+1209 

+19.48 

+  1 

—146 

1  300 

3.282 

2.  Ob 

2.953 

4.51 

10 

+  9.70 

2.130 

—  6 

1147 

17.73 

2 

203 

400 

3.267 

1.40 

3.061 

4.02 

20 

19.67 

3.230 

0 

1049 

15.43 

3 

254 

30 

29.65 

4.218 

+  7 

92: 

12.67 

4 

298 

1866. 

1874. 

Feb.   9 

8.62 

5.070 

13 

776 

9.51 

4 

333 

I 

+3.275—1.62 

—3.027+4.19 

19 
Mar.  1 
11 
21 

18.59 
0.57 
10.54 
20.51 

5.770 
6.306 
6.673 

6.870 

19 
24 
29 
33 

619 
452 
283 
+  114 

604 
+  2.36 
—  1.44 

5.28 

5 
5 
5 
5 

359 
376 
384 
383 

100 

!  200 
I  300 
400 

3.241      0.9b 
3.178—0.33 
3.087+0.32 
2.970J    0.96 

3.119 
3.184 
3.223 
3.235 

3.67 
3.13 

2.57 

1.98 

31 

30.48 

6.901 

36 

—    51 

9.07 

5 

374 

1867. 

1875. 

100,  Apr.  10 
20 

9.46 
19.43 

6.771 
6.489 

38 
39 

206 
355 

12.74 
16.20 

5 
4 

358 
334 

10( 

+3.012 

2.878 

+0.74 
1.39 

—3.234 
3.228 

+2.18 
1.59 

30 

29.40 

6.065 

40 

490 

19.39 

4 

303 

200 

2.718 

2.01 

3.196 

0.98 

May  10 

9.38 

5.514 

39 

611 

22.25 

3 

267 

300 

2.534 

2.62 

3.136 

+0.36 

20 

19.35 

4.848 

38 

716 

24.71 

3 

225 

400 

2.328 

3.21 

3.054 

-0.26 

30 

29.32 

4.084 

35 

806 

26.73 

2 

178 

1868  B. 

1S76B. 

June  9 
19 

8.29 
18.27 

3.242 
2.342 

32 

28 

87e 
921 

28.25 
29.26 

0 

127 
74 

0 

+2.400 

+3.02 

—3.085 

—0.05 

29 

28.24 

1.407 

24 

944 

29.72 

0 

—  19 

100 

2.181 

3.5fc 

2.984 

0.67 

July  9 

8.21 

+0.463 

19 

940 

29.63 

—  1 

+  37 

200 
300 

1.943 
1.689 

4.12 
4.62 

2.858 
2.709 

1.28 
1.88 

200,          19 

18.18 

-0.463 

14 

906 

28.99 

2 

91 

400 

1.420 

5.08 

2.537 

2.47 

29 
Aug.  8 

28.16 
7.13 

1.343 
2.146 

8 
+  3 

846 
755 

27.82 
26.15 

3 
4 

143 

190 

1869. 

1877. 

18 
28 

17.10 

27.08 

2.843 
3.407 

—  3 

8 

63f 

486 

24.04 
21.56 

4 
5 

231 
264 

0 
100 

+1.512 
1.235 

+  4.93 
5.36 

—2.598 
2.412 

—2.27 

2.85 

Sept.  7 

6.05 

3.812 

12 

316 

18.79 

5 

288 

200 
300 

0.948 
0.654 

5.74 
6.0? 

2.205 
1.981 

3.40 
3.92 

17 

16.02 

4.036 

16 

—  126 

15.84 

5 

301 

400 

0.354 

6.34 

1.739 

4.42 

27 

25.99 

4.063 

19 

+    75 

12.80 

5 

304 

Oct.    7 

5.96 

3.884 

21 

284 

9.81 

5 

293 

187O. 

1878. 

17 

15.94 

3.497 

21 

491 

6.97 

5 

271 

0 

+0.456 

+6.26 

—1.822 

—4.25 

300,          27 

25.91 

2.908 

21 

686 

4.42 

4 

238 

100 

+0.  154 

6.50 

1.571 

4.73 

Nov.  6 

4.88 

2.138 

20 

862 

2.24 

4 

194 

200 

—0.148 

6.66 

1.305 

5.16 

16 

14.86 

1.192 

17 

1012 

—  0.56 

3 

142 

300 

0.448 

6.80 

1.028 

5.55 

26 

24.83 

—0.120 

14 

1126 

+  0.58 

2 

84 

400 

0.743 

6.8? 

0.742 

5.89 

Dec.   6 

4.80 

+1.050 

10 

1205 

1.10 

—  1 

+  20 

1871. 

1879. 

16 
26 
36 

14.77 
24.75 
34.72 

2.277 
3.520 
+4.739 

—  4 

+  2 
+  8 

1242 
123? 
+1194 

0.99 
+  0.23 
—  1.16 

0 
+  2 

—  44 

108 
-168 

0 
100 
200 

—0.644 
0.935 
1.218 

+6.85 
6.88 
6.85 

—0.840 
0.546 
—0.252 

—5.78 
6.09 
6.36 

300 

1.489 

6.76 

+0.048 

6  57 

400 

1.748 

6.61 

0.34H 

6.73 

1872  B. 

1880  B. 

*  S  Mean  Sun,     Mar.  24.9. 

*  6  ©,                 Sept.  25  6. 

0 

—1.662 

+6.67 

+0.247 

-6.68 

>JC  6  Mean  Sun,     Sept.  33.5. 

100 
200 

1.910 
2.142 

6.49 
6.25 

0.546 
0.841 

6.80 
6.86 

300 

2.355 

5.96 

1.130 

6.86 

400 

-2.548 

+5.62 

+1.410 

-6.81 

SPECIAL  TABLES. 


159 


TABLE  XXIV.-?  Virginia. 

h    m                                                  ,01 

R.A.  12  13.3.                       Dec.  +    03. 

Upper  transit  at  fictitious  meridian. 

A0a 

A0« 

Side- 
real 
Day. 

*«« 

*n< 

AQ- 

w 

i  Sidereal  Day. 

Moat!  D&y. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

i87o.  hy£- 

Diff.  for 
10  d. 

1865. 

B                      " 

1873. 

B                     " 

0 

+0.633—3.69 

—0.915 

+5.69 

100 

0.551      3.13 

0.864 

5.31 

8 

ii 

200 

0.464     2.54 

0.806 

4.89 

0,  Jan.   0  —  0.27 

+0.157 

—  3 

+332 

—  1.51 

+  2 

—216 

300 

0.373     1.93 

0.740 

4.43 

10   4-  9.70 

0.483 

3 

320 

3.63 

2 

207 

400 

0.278,     1.30 

0.669 

3.94 

20 

19.67 

0.793 

3 

297 

5.62 

I 

190 

30 

29.65 

.075 

2 

267 

7.41 

1 

169 

1866. 

1874. 

Feb.    9 

8.62 

.325 

2 

231 

8.99 

1 

145 

0 

+0.311  —  1.52|!—0.694  +4.11 

19 
Mar.    1 
11 
21 

18.59 
0.57 
10.54 
20.51 

.536 
.707 
.836 
.925 

2 
1 
—  1 
0 

191 
150 
109 

70 

10.30 
11.34 
12.10 
12.59 

4- 

O  00  — 

118 

90 
62 
37 

100 
200 
300 
400 

0.214     0.88      0.619 
0.116—0.231     0.539 
+0.017+0.42!    0.456 
—0.083     1.06      0.368 

3.59 
3.05 
2.48 
1.89 

31 

30.48 

.977 

+  1 

34 

12.84 

0 

—  14 

1867. 

1875. 

100,  Apr.  10 
20 

9.46 
19.43 

.994 
.984 

1 
2 

+    3 
—  23 

12.87 
12.70 

0 
—  1 

+  2\ 

0 

100 

—0.049  +0.85 
0.148     1.49 

—0.398  +2.09 
0.308     1.49 

30  |    29.40 

.949 

2 

45 

12.39 

1 

37 

200 

0.246     2.11 

0.216     0.88 

May  10         9.37 

1.895 

2 

62 

11.96 

1 

48 

300 

0.342     2.72  1  i    0.123+0.26 

20 

19.35 

1.825 

2 

77 

11.44 

1 

56      400 

0.434     3.30  1    0.028—0.36 

30 

29.32 

1.741 

3 

88 

10.85 

1 

61 

1868  B. 

1876  B. 

June  9 
19 
29 
July  9 

8.29 
18.27 
28.24 
8.21 

1.650 
1.554 
1.454 
1.355 

3 
3 
3 
3 

94 

98 
100 
99 

10.22 
9.58 
8.93 
8.31 

1 
2 
2 
2 

64 

65 
64 
61 

0 
100 
200 

—0.403 
0.493 
0.579 

+3.11 
3.67 
4.21 

—0.060—0.15 
+0.035     0.76 
0.130     1.38 

0.659 

4.70 

0.223     1.98 

200,           19 

18.18 

1.258 

3 

94 

7.72 

56      400 

0.733 

5.15 

0.315!    2.56 

29 

28.16 

1.168 

3 

86 

7.20 

50 

Aug.  8 

7.13 

1.088 

3 

74 

6.73 

41 

1869. 

1877. 

18 
28 

17.10 

27.07 

1.021 

0.973 

2 
2 

58 
36 

6.38 
6.15 

30 

0 
100 

—0.709 
0.779 

+5.01 
5.43 

+0.284 
0.374 

—2.37 
2.94 

Sept.  7 
17 
27 

6.05 
16.02 

25.99 

0.950 
0.953 
0.991 

0 
0 

—  11 

+  20 
57 

6.08 
6.21 
6.55 

—  1 

0 
0 

—    3 
23 
45 

200 
1  300 
410 

0.84:2 
0.89^ 
0.946 

5.80 
6.12 
6.3!) 

0.46* 
0.545 
0.625 

3.49 
4.01 
4.50 

Oct.    7 

5.96 

.067 

0 

95 

7.12 

0 

71 

1870. 

1878. 

17 

15.94 

.182 

0 

137 

7.97 

+  1 

97 

'o 

—0.930+6.30 

+0.598—4.34 

300,          27 

25.91 

.^41 

—  1 

180 

9.07 

1 

124 

100 

0.973     6.53      0.674 

4.80 

Nov.  6 

4.88 

.542 

2 

221 

10.44 

1 

150 

200 

1.007     6.71 

0.745 

5.'J2 

16 

14.86 

.782 

•    2 

258 

12.05 

2 

173 

300 

1.032     6.8-2 

0810 

5.61 

26 

24.83 

2.057 

2 

290 

13.89 

2 

193 

40u 

1.048     6.8C 

0.868 

5.95 

Dec.   6 

4.80 

2.360 

2 

314 

15.90 

3 

208 

1871. 

1879. 

16 
26 
33 

14.77 
24.75 
34.72 

2683 
3.016 
+3.350 

3 
3 
—  3 

329 
335 
+328 

18.03 
20.20 
-22.35 

3 
3 
+  3 

216 
217 
—212 

0 
100 
200 

—1.043 
1.054 
1.055 

+6.87 
6.89 
6.84 

+0.849J-5.84 
0.903     6.14 
0.949     6.40 

1 

300 

1.047 

6.75 

0.987 

6.6* 

400 

1.031 

6.59 

1.017 

6.75 

] 

1872  B. 

1880  B. 

#•  6  0,                 Sept.  26.4. 

>|c  6  Mean  Sun,     Sept.  24.1. 

0 

—1.037+6.65 

+1.008 

—6.70 

100 

1.015 

646 

1.032 

6.  Hi 

200 

0.984 

6.21 

1.048 

6.b7 

300 

0.945 

5.91 

1  055 

6.86 

400 

—0.899 

+5.57  +1.053 

—6.80 

||                                                    | 

160 


SPECIAL  TABLES. 


TABLE  XXIV.-ai  Crucis. 

•h    m                                                    °      ' 

E.A.  12  19.4.                       Dec.  —  62  23. 

Upper  transit  at  fictitious  meridian. 

A0a 

A    6 

' 

Side- 
real 

A^a 

AQrf 

Aaa 

AQ<5 

\y 

Day. 

Sidereal  Day. 

H  can  Day. 

1870. 

Var.in 

10  y. 

Diff.  for 
10  d. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                    " 

1873. 

8                    " 

0 

+1.626 

—3.49 

—1.548 

+5.56 

100 

1.600 

2.91 

1.584 

5.16 

8 

// 

200 

1.560 

2.32 

1.606 

4.72 

0,Jan.    0 

—  0.27 

+0.301 

—  7 

+588 

+17.28 

4-2 

-169 

300 

1.506 

1.70 

1.614 

4.25 

10 

+  9.71 

0.877 

5 

561 

15  34 

2 

219 

400 

1.438 

1.06 

1.610 

3.74 

20 

19.68 

1.417 

4 

518 

12.93 

3 

263 

30 

29.65 

1.908 

3 

462 

10.11 

4 

297 

1866. 

1874. 

Feb.    9 

8.62 

2.338 

—  1 

396 

7.01 

4 

323 

0 

+1.463 

—1.27 

—  1.6131+3.91 

19 
Mar.   1 
11 
21 

18.60 
0.57 
10.54 
20.52 

2.699 

2.987 
3.200 
3.338 

2 
4 
6 

325 
251 
175 
101 

3.67 

+  0.18 
—  3.37 

6.88 

4 
4 
4 

4 

343 
353 
354 

349 

100 
200 
300 
400 

1.387 
1.299 
1.200 
1.090 

-0.63 
+0.02 
0.67 
1.31 

1.599     3.39 
1.573     2.83 
1.534'   2.25 
1.481      1.66 

31 

30.49 

3.404 

7 

+  31 

10.32 

5 

336 

1867. 

1875. 

100,  Apr.  10 
20 

9.46 
19.43 

3.402 
3.337 

8 
9 

—  34 

95 

13.58 
16.61 

4 
3 

315 

290 

0 
100 

+1.128 
1.012 

+1.10 
1.73 

—1.500 
1.440 

+  1.85 
1.25 

30 

29.41 

3.214 

10 

150 

19.36 

3 

259 

200 

0.887 

2.35 

1.3(58 

0.64 

May  10 
20 

9.38 
19.35 

3.039 

2.819 

10 
11 

199 
241 

21.78 
23.82 

2 
2 

224 

184 

300 
400 

0.755 
0.616 

2.95IJ     1.284+0.02 
3.52      1.191—0.60 

30 

29.32 

2.559 

11 

277 

25.44 

2 

139 

1868  B.                1876  B. 

June  9 
19 

8.30 
18.27 

2.268 
1.951 

11 

10 

305 
327 

26.60 
27.30 

+  1 
0 

93 
—  45 

0 

+0.664 

+3.34 

—1.223—0.39 

29 

28.24 

1.617 

10 

339 

27.50 

0 

+    5 

100 

0.521 

3.89 

1.123 

1.01 

July  9 

8.21 

1.276 

9 

342 

27.21 

—  1 

53 

200 

0.374 

4.41 

1.014 

1.61 

300 

0.224 

4.88 

0.895 

2.21 

200,          19 

18.19 

0.937 

8 

333 

26.44 

2 

101 

400 

0.072 

5.32 

0.770 

2.79 

29 

28.16 

0.613 

7 

313 

25.20 

3 

145 

Aug.  8 

7.13 

0.314 

6 

282 

23.55 

3 

186 

1869. 

1877. 

18 
28 

17.11 

27.08 

+0.053 
—0.158 

5 
3 

238 

182 

21.51 
19.18 

3 
4 

220 
246 

0 

100 

+0.124 
—0.028 

+5.18 
5.59 

—0.814 
0.684 

-2.60 
3.17 

Sept.  7 
17 
27 

6.05 
16.02 
26.00 

0.308 
0.385 
0.381 

2 

0 

115 

—  38 
+  48 

16.62 
13.93 
11.23 

5 
5 
4 

264 
271 

268 

200 
300 
400 

0.180 
0.329 
0.475 

5.94 
6.24 
6.49 

0.548 
0.407 
0.263 

3.70 
4.21 
4.68 

Oct.    7 

5.97 

0.288 

I 

137 

8.60 

4 

255 

1870. 

1878. 

17 

15.94 

—0.106 

2 

228 

6,17 

4 

230 

0 

—0.426 

+6.41 

—0.312 

—4.53 

300,          27 

25.91 

+0.168 

2 

318 

4.04 

3 

195 

100 

0.570 

6.62 

0.16(5 

4.98 

Nov.  6 

4.89 

0.528 

3 

400 

2.30 

2 

151 

200 

0.708 

6.7? 

—0.018 

5.39 

16 

14.86 

0.965 

2 

471 

1.04 

2 

99 

300 

0.839 

6.87 

+0.130 

5.75 

26 

24.83 

1.466 

2 

529 

0.31 

—  1 

+  43 

400 

0.964 

6.90 

0.^78 

6.07 

Dec.   6 

4.81 

2.017 

2 

570 

0.18 

0 

—  17 

1871. 

1879. 

16 
26 
36 

14.78 
24.75 
34.72 

2.601 
3.197 
+3.786 

2 
—  1 

0 

593 
596 
+579 

0.65 
1.70 
—  3.32 

0 

+  3 

76 
134 

—189 

0 
100 
200 

-0.923 
1.041 
1.151 

+6.89 
689 
6.83 

+0.228 
I     0.374 
0.518 

—5.97 
6.26 
6.49 

300 

1.250 

6.71 

0.658 

6.07 

400 

1.339 

6.53 

0.792 

6.80 

1872  B. 

188O  B. 

*  6  ©,                 Sept.  28.1. 

#  6  Mean  Sun,     Sept.  25.7. 

0 
100 

—1.3101+6.59 
1.391     6.38 

+0.7471—6.76 
O.K78     6.85 

200 

1.460 

6.12 

1.001      6.88 

300 

1.517     5.80 

1.117     6.85 

400—  1.561  j+5.43  +1.223J—  6.77 

SPECIAL  TABLES. 


161 


TABLE  XXIV.-/3  Coryi. 

h    m                                                        o      ' 

E.A.  12  27.6.                       Dec.  —  22  41. 

Upper  transit  at  fictitious  meridian. 

| 
!  Sidereal  Day. 

AJo3.ii  Dsy. 

A0a 

AO<J 

Side- 
real 
Day. 

Aoa 

A^ 

!  Aaa 

v 

1*70. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                   " 

1873. 

0 

+0.854 

—3.21 

—1.060 

+5.38 

100 

0.784 

2.62 

i     1.027 

4.96 

• 

/; 

1  300 

0.706 

2.01 

i     0.985 

4.50 

0,Jan.    0 

—  0.26 

+0.091 

—  3 

+352 

+  6.50 

+  2 

—214 

;  300 

0.623 

1.38 

!    0.936 

4.00 

10 

+  9.71 

0.439 

3 

340 

4.28 

2 

229 

i  400 

0.533 

0.73 

!    0.879J    3.47 

20 

19.68 

0.769 

3 

318 

+  1.95 

3 

2:*8 

30 

29.66 

1.073 

2 

289 

—  0.45 

3 

240 

1866. 

1874. 

Feb.    9 

8.63 

1.344 

2 

252 

2.82 

3 

234 

0 

+0.5641—0.95 

—0.899 

+3.66 

19 
Mar.   1 
11 
21 

18.60 
0.58 
10.55 
20.52 

1.575 

1.766 
1.916 
2.024 

1 
—  1 
0 

+  1 

211 

170 
128 

87 

5.12 
7.31 
9.32 
11.15 

3 
3 
2 
2 

225 
211 
192 
172 

100 

.  200 
300 
400 

0.472 
0.375 
0.275 
0.173 

-0.30 
+0.35 
1.00 
1.64 

i    0.837 
!    0.768 
|    0.693 
!     0.613 

3.11 
2.54 
1.U5 
1.34 

3J 

30.49 

2.092 

50 

12.75 

2 

150 

1867. 

1875. 

100,  Apr.  10 
20 

9.47 
19.44 

2.126 
2.129 

2 
2 

+  18 
—  11 

14.14 
15.28 

1 
+  1 

127 

103 

0 
100 

+0.207 
+0.104 

+1.42 
2.06 

—  0.641 
1     0.557 

+1.55 
0.94 

30 
May  10 

29.41 
9.38 

2.106 

2.058 

3 
3 

36 

58 

16.20 
16.89 

0 
0 

81 
56 

200 
300 

0.000 
-0.104 

2.67 
3.26 

i    0.469 

i    0.377 

+0.32 
—0.30 

20 

19.36 

1.991 

4 

76 

17.33 

0 

32 

,400 

0.208 

3.82 

:    0.282 

0.92 

30 

29.33 

.907 

4 

90 

17.54 

0 

—    9 

1868  B. 

1876  B. 

June  9 

8.30 

.811 

4 

102 

17.52 

—  1 

+  13 

19 

18.28 

.704 

3 

111 

17.29 

1 

I        M  J 

34 

0 

—0.173 

+3.63 

—0.314 

—072 

29 

28.25 

.590 

3 

117 

16.84 

] 

54 

100 

0.275 

4  17 

0.217 

1.33 

July   9 

8.22 

.471 

3 

119 

16.20 

1 

73 

200 
300 

0.374 
0.470 

4.67 
5.12 

0.119 
—0.019 

1.93 
2.52 

200,          19 

18.19 

.354 

3 

118 

15.37 

2 

90 

400 

0.5621    5.54 

+0.080 

3.09 

29 

28.17 

.238 

3 

112 

14.40 

2 

104 

Aug.  8 

7.14 

.132 

3 

100 

13.30 

2 

115 

1869. 

1877. 

18 

28 

17.11 

27.08 

.039 
0.967 

2 
2 

83 
61 

12.12 

10.90 

2 
2 

121 
122 

f 
100 

—0.532 
0.620 

+5.41 
5.79 

+0.047 
i    0.146 

—2.90 
3.46 

Sept.  7 
17 

27 

6.06 
16.03 
26.00 

0.919 
0.902 
0.924 

2 

1 
+  1 

—  33 

+  «8 

9.69 

8.57 
7.57 

2 

2 
2 

117 

107 
90 

200 
300 
400 

0.703 
0.779 
0.849 

6.12 

6.40 
6.62 

!    0.245 
0.341 
!    0.436 

3.98 
4.47 
4.93 

Oct.    7 

5.97 

0.988 

0 

87 

6.79 

1 

66 

187O. 

1878. 

17 

15.95 

1.098 

0 

133 

6.26 

1 

38 

0 

-0.826 

+6.55 

+0.4031—4.78 

300,          27 

25.9-2 

1.255 

^ 

180 

6.04 

—  1 

4-    6 

100 

0.891 

6.73 

I    0.496 

5.21 

Nov.   G 

4.89 

1460 

1 

226 

6.15 

0  :—  30 

200 

0.948 

6.80 

0.584 

5.60 

16 

1487 

1.709 

1 

269 

6.64 

0 

68 

30(. 

0.996 

6.92 

0.667 

5.94 

26 

24.84 

1.997 

1 

304 

7.51 

+  1 

106 

400 

1.036 

6.9'2 

0.745 

6.23 

Dec.   6 

4.81 

2.315 

2 

331 

8.75 

1 

141 

i 

1871. 

1879. 

16 
26 
36 

14.78 
24.76 
34.73 

2.656 
3.008 
-f-3.362 

2 
2 
-  2 

348 

355 
+350 

10.32 
12.17 

—14.28 

2 
2 

+  3 

172 
199 
—221 

0 
100 
200 

—1.024 
1.058 
1.083 

+6.92 
6.89 
6.81- 

+0.719 
i     0.793 
0.861 

—6.14 
6.40 
6.61 

300 

1.09e 

6.64 

j    o.  922 

6.76 

'  400 

1J05 

6!44 

0'.974 

6.86 

1872  B. 

18SO  B. 

*  6  ©,                  Sept.  30.3. 

1 

5fc  6  Mean  Sun,     Sept.  27.8. 

0 

—1.1031+6.51 

i+0.958 

—(5.83 

100 

1.104     6.27!     1.005 

6.89 

200 

1.094     5.98 

1.045 

6.89 

300 

1.076     5.63  !     1  076 

6.83 

400 

—  1.049!+5.24'  +1.097  —6.71 

ii 

11 


162 


SPECIAL  TABLES. 


TABLE  XXIV.—*  K  Draconis, 

h    m                                                  Of 

R.A.  12  27.9.                       Dec.  +  70  30. 

Upper  transit  at  fictitious  meridian. 

A0« 

A0o 

Side- 
real 
Day. 

A«- 

*• 

^ 

w\ 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1S65. 

B 

1873. 

0 

—0.860 

—3.19 

+0.055 

+5.37 

100 

1.020 

2.61 

0.232 

4.95 

s 

// 

200 

1.1  7,-i 

1.99 

0.406 

4  49 

0,  Jan.  0 

—  0.26 

+0.060 

—  8 

+773 

—19.77 

+   1 

—101 

300 

1.314 

1.36 

0.576 

3.99 

10 

+  9.72 

0.831 

10 

764 

20.46 

0 

—  36 

400 

1.444 

0.72 

0.742 

3.47 

20 

19.69 

1.580 

11 

730 

2049 

—   1 

+  29 

30 

2966 

2.282 

13 

671 

19.89 

2 

92 

1866. 

1874. 

Feb.   9 

8.63 

2.914 

14 

589 

18.67 

2 

150 

0 

—1.401 

—0.94 

+0.687|+3.65 

19 
Mar.   1 
11 
21 

18.60 
0.58 
10.55 
20.52 

3.455 

3.889 
4.2U5 
4.398 

14 
14 
13 
13 

490 
377 
255 
131 

16.91 
14.68 

12.08 
9.23 

3 
3 
4 
4 

201 
243 
274 

294 

100 
200 
300 

400 

1.524 
1.633 
1.727 

1.807 

—0.29 
+0.36 
1.01 
1.65 

0.848 
1.001 
1.147 
1.282 

3.10 
2.53 
1.94 
1.33 

31 

30.50 

4.468 

11 

+    9 

6.25 

4 

301 

1867. 

1875. 

100,  Apr.  10 
20 

9.47 
19.44 

4.419 
4260 

10 

8 

—106 

210 

3.26 

-  0.38 

4 

4 

296 

280 

G 
100 

—1.782 
1.851 

+1.44 

2.07 

+1.237 
1.366 

+  1.54 
0  92 

30 

29.41 

4.003 

6 

302 

+  2.30 

4 

253 

200 

1.904 

2.68 

1.483 

+0.30 

May  10 

9.39 

3661 

4 

•378 

4.66 

3 

219 

300 

I.U41 

3.27 

1.58S 

—0.32 

20 

19.36 

3.252 

—  2 

439 

6.64 

3 

177 

400 

1.960 

3.83 

1.679 

0.94 

30 

29.33 

2.769 

0 

483 

8.18 

2 

129 

1868  B. 

1876  B. 

June  9 
19 

8.30 

18.28 

2.291 
1.771 

+  2 
3 

512 

525 

9.22 
9.75 

2 

79 
+  26 

G 

—1.955 

+3.65 

+1.650 

—0.73 

29 

28.25 

1.246 

5 

523 

9-74 

0 

—  28 

100 

1.963 

4.18 

L732 

1.34 

July    9 

8.22 

0.729 

6 

509 

9.20 

0 

80 

200 
300 

1.954 
,1.928 

4.68 
5.14 

1.800 
1.854 

1.94 
2.53 

200,          19 

18.19 

+0.233 

7 

482 

8.14 

-f  1 

131 

400 

/1.885 

5.55 

1.892]    3.10 

29 

28.17 

—0.231 

8 

444 

6.58 

2 

179 

Aug.  8 

7.14 

0.650 

9 

394 

4.56 

2 

224 

1869. 

1877. 

18 
28 

17.11 

27.09 

.015 
.315 

9 

9 

334 
265 

+  2.12 

—  0.70 

3 
3 

264 
299 

0 
100 

—  .902 

.848 

+5.42 

5.80 

+  1.88! 
1.909 

—291 
3.46 

200 

.778 

6.13 

1.921 

3.99 

Sept.  7 

6.06 

.542 

8 

186 

3.84 

4 

328 

300 

.694 

6.40 

1.917 

4.48 

17 

16.03 

.685 

7 

99 

7.25 

4 

352 

40G 

.594 

6.62 

1.898 

4.93 

27 

26.00 

.737 

6 

—    4 

10.85 

4 

368 

Oct.    7 

5.98 

.692 

5 

+  96 

14.58 

4 

377 

187O. 

1878. 

17 

15.95 

.543 

3 

201 

18.37 

5 

378 

G 

—  .629 

+6.55 

+1.906 

—4.78 

300,          27 

25.92 

1.289 

+  1 

308 

22.12 

4 

371 

100 

.521 

6.73 

1.876 

5.21 

Nov.  6 

4.90 

0.929 

—  1 

412 

25.75 

4 

354 

20G 

.400 

6.85 

1.830 

5.60 

16 

14.87 

—0.466 

3 

511 

29.17 

4 

328 

300 

.267 

6.92 

1.769 

5.94 

26 

24.84 

+0.090 

6 

600 

32.29 

3 

293 

400 

.124 

6.92 

1.694 

6.24 

Dec.  6 

4.81 

0.729 

8 

675 

35.01 

3 

249 

1S71. 

1879. 

16 
26 
33 

14.79 
24.76 
34.73 

1.433 

2.182 
+2.952 

10 
12 
-14 

730 
764 

+772 

37.25 
38.95 
-40.03 

2 
2 

+  i 

198 
140 

—  77 

0 
100 
200 

—  .173 

.024 

0.866 

+6.92 
6.89 
6.79 

+1,723 
1.636 
1.537 

—6.14 
6.40 
6.61 

300 

0.7()l|    6.64 

1.425 

6.76 

400 

0.531J     6.43 

1.3UG 

6.86 

1872  B. 

1880  B. 

#  8  Mean  Sun,    Mar.  29.3. 

*  6  ©,                 Sept.  30.4* 

0 

—0.589+6.51 

+1.344 

—6.83 

#  c5  Mean  Sun,     Sept.  27.9. 

100 

0.416 

6.27 

1.212 

6.89 

. 

200 

0.240 

5.97 

1.070 

6.89 

300 

—0.063 

5.62 

0.917 

683 

400 

+0.115+5.23 

+0.757 

—6.71 

SPECIAL  TABLES. 


163 


TABLE  XXIV.—  *  32  Camelopardalis  (H)  (foil.) 

j 

h    m                                                    °      ' 

R.A.  152  48.2.                       Dec.  +  84    7. 

Upper  transit  at  fictitious  meridian. 

A0a 

A0d 

Side- 
real 

Ana 

6^6 

Aaa 

^ 

SKlt?rc£il  D&v. 

Mean  Day 

Day. 

1870. 

Var.  in 
10  y. 

Diff.  fot 
10  d. 

1870. 

Var.  in 
10  y. 

Diff  for 
lUd. 

1865. 

8                    '.' 

1873. 

8                     '' 

0 

—4.6811—2.47 

+2.707 

+4.90 

100 

4.998     1.851 

3.161 

4.42  j 

8 

// 

200 

5.271      1.21 

3.588 

3.91  : 

0,  Jan.   0   —  0.24 

-1.051 

+  5 

+2225 

—20.45 

0 

-  96 

300 

5.498—0.56 

3.984 

3.36  : 

10   +  9.73 

0*1.193 

—15 

2250 

21.07 

0 

—  29 

400 

5.677  +0.10 

4.347 

2.79  i 

20 

19.70 

3.423 

34 

2195 

21.03 

0 

+  37 

30 

29.67 

5.556 

53 

2C60 

20.34 



101 

1866. 

1874. 

Feb.  0 

8.65 

7.517 

69 

1849 

19.02 

161 

0 

—5.622—0.12 

+4.228 

+2.99  j 

19 
Mar.  1 
11 
21 

18.62 
0.59 
10.56 
20.54 

9.233 
10.643 
11  701 
12.374 

84 
96 
104 
109 

1572 
1241 

869 
475 

17.14 
14.79 
12.06 
9.07 

213 

256 

288 
307 

100 
200 
300 
400 

5.769 
5.865 
5.910 
5.904 

+0.53 
1.19 

1.8:1 
2.46 

4.56C 
4.866 
5.124 
5.34C 

2.40 
1.80 
1.18 

0.56  | 

31 

30.51 

12.648 

111 

+    74 

5.95 

314 

1867. 

1875. 

100,  Apr.  10        9.48 
20       19.46 

12.529 
12.019 

108 
103 

—  319 

688 

—  2.83 

+  0.18 

309 
292 

0 

100 

—5.912 
5.871 

+2.25 
2.86 

+5.272+0.77 
5.459+0.14 

30 

29.43 

11.160 

94 

1023 

2.97 

264 

200 

5.779 

3.45 

5.600—0.49 

May  10 

9.40 

9.986 

82 

1315 

5.43 

228 

300 

5.637 

40i 

5.6C5 

1.11 

20       19.37 

8.546 

68 

1557 

7.50 

184 

400 

5.447 

4.53 

5.743 

1.73 

30       29.35 

6.890 

52 

1745 

9.09 

—  1 

J34 

1868  B. 

1876  B. 

June  9 

8.32 

5.074 

34 

1878 

10.16 

0 

81 

19 

18.29 

3.152 

—15 

1957 

10.69 

0 

+  25 

0 

—5.516+4.36 

+5.732 

—1.52 

29 

28.26 

+1.177 

+  4 

1981 

10.67 

0 

—  31 

100 

5.294 

4.8(i 

5.749 

2.13 

July  9 

8.24 

-0.794 

23 

1955 

10.08 

0 

86 

200 

5.026 

5.31 

5.719 

2.72 

300 

4.715 

5.72 

5.641 

3.28 

200,          19 

18.21 

2.717 

42 

1883 

8.95 

0 

139 

400 

4.363 

6.07 

5.517 

3.82 

29 

28.18 

4.545 

59 

1767 

7.31 

0 

190 

Aug.  8 

7.16 

6.238 

76 

1612 

5.17 

+ 

235 

1869. 

1877. 

18       17.13 
28       27.10 

7.757 
9.068 

90 
103 

1421 

1197 

+  2.62 
—  0.33 

276 
312 

0 
100 

—4.4861+5.96 
4.110[    6.28 

+5.564 
5.410 

-3.65 
4.16 

Sept.  7 
17 
27 

6.07 
16.05 
26.02 

10.141 
10.948 
11.466 

113 

120 
125 

945 
666 
365 

3.60 
7.14 

10.87 

342 

364 
380 

200 
30C 
400 

3.699 
3.257 
2.789 

6.54 
6.7f, 
6.90 

5.211 
4969 
4.686 

4.65 
5.10 
5.51 

Oct.   7 

5.9V 

11.673 

127 

—  47 

14.72 

388 

1870. 

18 

rs. 

17 

15.96 

11.556 

126 

+282 

18.60 

388 

0—2.949 

+6.85 

+4.785 

—5.37 

300,          27 

25.94 

11.107 

122 

618 

22.44 

378 

100     2.466 

6.96 

4.476 

5.75 

Nov.  6 

4.91 

10.322 

114 

950 

26.14 

360 

200     1.962 

7.01 

4.129 

6.08 

16 

14.88 

9.212 

104 

1268 

29.60 

332 

300|     1.443 

7.00 

3.747 

6.37 

26  !    24.86 

7.794 

91 

15C'2 

32.74 

295 

40C 

0.913 

6.9lii 

3.333 

6.60 

Dec.  6  |      4.83 

6.1CO 

76 

1818 

35.47 

1 

249 

1 

1871. 

1879. 

16       14.80 
26       24.77 
36       34,75 

4.174 

—2.072 
+0.140 

59 
40 
+20 

2024 
216? 
+2241 

37.70 
39.36 
—40.39 

+  1 

0 
0 

195 
136 
—  71 

0—1.093+6.96- 
100|    0.559     6.85 
20fJ—  0.022,     G.Ge 

+3.476—6.52 
3.042     6.72 

2.583;    6.86 

! 

3004-0514      fi.dfV 

2.101 

6.94 

400 

1.044 

6.17 

1.600 

6.96 

1872  B. 

1880  B. 

>fc  8  Mean  Sun,     April  3.4. 

*  6  0,                  Oct.  6.1. 

0  +0.866+6.27 

+  1.771 

—6.96 

>fc  c5  Mean  Sun,     Oct.  3.0. 

100;     1.390     5.96 

1.260 

6.95 

200      1.900     5.60 

0.738 

6.87 

300     2.392i     5.19  +0.218     6.74 

400  +2.863+4.74  —0.325 

—6.55 

164 


SPECIAL  TABLES. 


TABLE  XXIV.-12  Canum  Venaticorum. 

h    m                                                    o      / 

R.A.  12  49.9.                       Dec.  +  39    1. 

Upper  transit  at  fictitious  meridian. 

AQa 

' 

AQd 
' 

Side- 
real 

AQa 

A^ 

Aaa 

A        ,, 

. 

Day. 

Sidcrtul  Duy. 

1870. 

Var.  in 
10  y. 

Diff.  for 

JOd. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                    " 

1873. 

8                       " 

0 

+0.191 

—2.42 

—0.610 

+4.85 

100 

+0.090 

1.79 

0.525 

4.36 

8 

// 

200 

—0.013 

1.15 

0.436 

3.85 

0,Jan.    0 

—  0.25 

—0.114 

—  4 

+392 

—13.93 

+  2 

—190 

300 

0.115 

—0.50 

0.343 

330 

10 

+  9.73 

+0.278 

4 

389 

15.60 

2 

143 

400 

0.217 

+0.16 

0.248 

2.73 

20 

19.70 

0.661 

4 

374 

16.77 

+  1 

91 

30 

29.67 

1.023 

4 

348 

17.41 

0 

—  37 

1866. 

1874. 

Feb.    9 

8.65 

L354 

3 

312 

17.51 

—  1 

+  15 

0 

—0.182 

—0.06 

—0.281 

+2.92 

19 
Mar.    1 
11 
21 

18.62 
0  59 
10.56 
20.54 

1.644 

1.888 
2.082 
2.223 

3 
3 
3 
2 

268 
219 
167 
116 

17.11 

16.22 
14.90 
1323 

1 
2 
2 
2 

65 
112 
151 
181 

100 
200 
300 
400 

0.283 
0.38J 
0.475 
0.566 

+0.60 
1.25 
1.90 
2.52 

0.184 
—0.086 
+0.012 
0.110 

2.34 
1.73 
1.11 

0.48 

31 

30.51 

2.315 

2 

67 

11  31 

2 

203 

1867. 

1875. 

ICO,  Apr.  10 
20 
30 
May  10 

9.48 
19.45 
29.43 
9.40 

2.359 
2.359 
2.319 

2.246 

1 
—  1 

0 
0 

+  21 
—  21 

57 

88 

9.20 
7.01 

4.84 
2.78 

3 
3 
3 
2 

217 
220 
213 
199 

0 
100 
200 
300 

—0.536 
0.623 
0.705 
0.781 

+2.32 
2.93 
3.5i 

4.07 

+0.076 
0.175 
0.271 
0.364 

+0.69 
+0.06 
—0.57 
1.19 

20 

19.37 

2.144 

+  1 

113 

—  0.88 

2 

179 

400 

0.849 

4.59 

0.455 

1.80 

30 

29.35 

2.021 

1 

133 

+  0.79 

2 

154 

1868  B. 

1876  B. 

June  9 

8.32 

1.879 

2 

149 

2.18 

2 

124 

19 

18.29 

1.724 

2 

159 

3.25 

2 

89 

0 

—0.827 

+4.42 

+0.425 

—  1  60 

29 

28.26 

1.563 

3 

165 

3.95 

1 

52 

100 

0.891 

4.91 

0.513 

2.20 

July   9 

8.24 

1.396 

3 

168 

4.28 

—  1 

+  15 

200 

0.947 

5.36 

0  597 

2.79 

300 

0.994 

5.76 

0.676 

3.35 

>CO,          19 

18.21 

1.229 

3 

165 

4.24 

0 

—  23 

400 

1.033 

6.11 

0.750 

3.89 

29 

28.18 

1.067 

3 

157 

3.81 

0 

62 

Aug.  8 

7.15 

0.916 

2 

144 

2.99 

0 

100 

1869. 

1877. 

13 

28 

17.13 

0.781 
0.664 

2 

2 

127 

105 

1.81 

+  0.28 

+  1 

136 
170 

0 
100 

—  .021 
.054 

+6.00 
6.3-> 

+0.725 
0.795 

—3.72 
4.24 

27 

6.07 
16.04 
26.02 

0.573 
0.516 
0.497 

1 

+  1 
0 

75 
—  39 
+    2 

—  1.59 
3.77 
6.25 

2 
3 
4 

203 
234 

260 

200 
300 
400 

.077 
.(J91 
.096 

6.58 
6.78 
6.92 

0.858 
0.914 
0.963 

4.72 
5.16 
5.57 

Oct.    7 

5.99 

0.521 

0 

49 

8.95 

4 

280 

187O. 

1878. 

17 

15.96 

0.596 

—  1 

99 

11.84 

4 

298 

0 

—1.096 

+6.88 

+0.947 

—5.43 

300,          27 

25.94 

0.720 

1 

150 

14.89 

4 

310 

100 

1.094 

6.98 

0.991 

5.81 

Nov.   6 

4.91 

0.897 

2 

203 

18.02 

4 

315 

200 

1.0^5 

7.02 

1.021; 

6  13 

16 

14.88 

1.126 

2 

255 

21.17 

4 

312 

300 

1.063 

7.0J 

1.053 

6.41 

26 

24.85 

1.405 

3 

301 

24.23 

4 

300 

400 

1.034     6.93 

1.072 

6  63 

Dec.   6 

4.83 

1.726 

4 

340 

27.15 

4 

281 

1871, 

1879. 

16 

26 
36 

14.80 
24.77 
34.74 

2.083 
2.461 

+2;  85  1 

4 
5 

—  5 

369 

386 
+392 

29.83 
32.18 
—34.13 

4 
3 

+  2 

253 
216 
—173 

0 
100 
200 

—1.045 

1.009 
0.986 

+6.96 
6.84 
6.67 

+1  066 
1.079 
1.082 

—6.56 
6.75 

6.88 

300 

0.914 

6.44 

1.077 

6.95 

400 

0*.854 

6J4 

1.063 

6.97 

1872  B. 

1880  B. 

*  6  0,                 Oct.  6.5 

*  c5  Mean  Sun,     Oct.  3.5 

0 
100 

—0.875 
0.811 

+625 
5.93 

+1.068 
1.04b 

-6.97 
6.95 

200 

0.740 

5.56 

1.019 

6.87 

300 

0.664 

5.15 

0.980 

6.73 

400 

—0.582 

+4.69 

+0.934 

—6.53 

SPECIAL  TABLES. 


165 


TABLE  XXIV.—  0  Virginia. 

h    m                                                    01 

R.A.  13    3.2,                      Dec.  —    4  51. 

Upper  transit  at  fictitious  meridian. 

Aoa 

A    6 

Side- 
real 

A^a 

AQ<5 

AQa 

AQd 

\~s 

:Day. 

Sitlcreul  Dav. 

' 

Mean  Day. 

1 

. 

i 

i  e-rn     Var.  in  Diff.  for 

10  y.      lOd.    ;! 

1865. 

8                    " 

1873. 

8 

! 

!      .  1 

0 

+0.681 

—1.94 

—  0.949 

+4.51 

100 

0.600 

1.30 

0.901 

3  99 

a 

// 

200 

0.515 

—0.64 

0.846 

3.44 

O.Jan.    0  '—  0.24 

—0.135   —  3 

+333 

+  0.32 

+  2   -209 

300 

0.425 

+0.03 

0.783 

2.87 

10   _|_  9.74 

+0.197         3 

33$ 

—  1.77 

3 

208      400 

0.330 

0.69 

0.715 

2.27 

20       19.71 

0.523 

3 

317 

3.83 

3 

199 

30       29.68 

0.829 

3 

294 

5.74 

2 

184   i 

1866. 

1874. 

Feb.   9         8.65 

1.110 

2 

266 

7.50 

2       165 

0 

+0.362+0.47 

—0.7:581+2.47 

19 

Mar.  1 
11 
21 

18.63 
0.60 
10.57 
20.55 

.361 
.573 
.750 

.889 

2 
1 

—  1 
0 

232 
195 
158 
122 

9.03 
10.30 
11.33 
12.11 

2 
2 

1 
1 

140 
115 
91 
65 

100 
200 
300 
400 

0.266 
0.1  6H 
+0.068 
—0.033 

1.13 
1.78 
•2.4* 
3.04 

0.666 
0.58c 
0.5G5 
0.419 

1.88 
1.24 
+0.61 
—0.03 

31 

30.52 

.994 

0 

87 

12.62 

+  1 

40 

1867. 

187.3. 

100,  Apr.  10 
20 

9.49 
19.46 

2.063 
2.103 

0 

-f-  i 

54 
+  25 

12.90 
12.99 

0 
0 

—  19 
Q 

0 
100 

+0.001 
—0.099 

+2.83 
3.4b 

—  0.44^+0.18 
0,359—0.46 

30 

29.44 

2.114 

2 

12.90 

0 

+  16 

200 

0.199 

4.0G 

0.268!     1.09 

May  10 

9.41 

2.101 

3 

24 

12.67 

0 

29 

300 

0.297 

4.51 

0.17-1      J.71 

20 

19.38 

2.067 

3 

44 

12.32 

0 

40 

400 

0.392 

5.03 

0.078 

2.32 

30 

29.35 

2.013 

3 

61 

11.87  L  1 

48 

1868  B. 

1876  B. 

June  9 
19 

8.33 
18.30 

.943 

.862 

3 
3 

76 

88 

11.36 
10.79 

1 

1 

54 

58 

0 

—0.360 

+4.87 

—0.111 

—2  12 

29 

28.27 

.770 

3 

97 

10.20 

1 

61 

100 

0.453 

5.33 

—0.015 

2.71 

July  9 

8.25 

.668 

3 

105 

9.58 

1 

62 

200 
300 

.  0.541 
0.625 

5.75 
6.11 

+0.0e! 
0.176 

3.29 

384 

!  200,          19 

18.22 

561 

3 

109 

8.96 

1 

62 

400 

0.703 

6.42 

0.270     4.35 

29 
Aug.  8 

28.19 
7.16 

.451 
.343 

3 
3 

109 
104 

8.35 
7.79 

1 
1 

59 
53 

I860. 

1877. 

18 
28 

17.14 
27.11 

.244 
.158 

3 
2 

93 

77 

7.30 
6.89 

1 
—  1 

45 
35 

0 
100 

-0.678 
0.752 

+6.  33i  +0.239  —4.19 
6.601     0.331      4.68 

200 

0.819 

6.82 

0.421 

5.14 

Sept.  7 

6.08 

.091 

2 

56 

6.60        0 

21 

300 

0.879 

6.9c 

0.508 

5.55 

17 

27 

16.05 
26.03 

.047 
.036 

1 
+  1 

—  28 
+    7 

6.47         0+4 
6.52         0—15 

400 

0.932     7.07 

0.591 

5.92 

Oct    7 

6.00 

.062 

0 

46 

6.76 

0 

37 

1870.                  1878. 

17 

15.97 

.129 

0 

88 

7.26         0 

63 

0 

—0.915 

+7.05 

+0.563 

—  5.80 

300,          27 

25.94 

.240 

0 

134 

8.02  -4-  1 

89 

100 

0.982 

7.10 

0.643 

6.14 

Nov.  6 

4.92 

.398 

—  1 

181 

9.05 

2 

117 

200 

.001 

7.10 

0.717 

6.43  ! 

16 

14.89 

.601 

1 

224 

10.35 

2 

143 

300 

.031 

7.03 

0.786 

(5.66 

26 

24.86 

.845 

2 

263 

11.91 

2 

167 

400 

v    .052 

6.90 

0.849 

6.84 

Dec.   6 

4.84 

2.124 

2 

295 

13.68        3 

186 

1871. 

1879. 

16 
26 
36 

14.81 
24.78 
34.75 

2.432 

2.757 
+3.091 

2 
3 
—  3 

318 
331 
+334 

15.62        3 
17.68         4 
—19  78+4 

201 
209 
—210 

0 
100 
200 

—  .045+6.95 
.060     6.7^ 

.066,     6.5(3 

+0.82-'—  <5.7- 
0.886!     6.93 
0.9:57      T.I  H 

300 

.063     6.28 

0.980 

7.04  i 

400 

.051      5.95 

1.015 

7.01 

1872B. 

1880  B. 

*  6  ©,                Oct.  10  1. 

:jc  8  Mean  Sun,    Oct.    6.8. 

C 

—  1.0561+6.07;  +1.004;—  7.03 

100 

1.038     5.70!j     1.033 

6.95 

200 

1.012     5.29J     1.054 

6.82 

300     0.977J     4.84ii     i.oix, 

6.61 

400 

-0.933J+4.35+I.UH-. 

—  (i.o'J 

166 


SPECIAL  TABLES. 


TABLE  XXIV.-C  Virginia. 

h    m                                                 °      ' 

R.A.  13  28.1.                       Dec.  +    0    4. 

Upper  transit  at  fictitious  meridian. 

AQa 

AQ(J 

' 

Side- 
real 

A^a 

A^ 

A^a 

AQJ 

Day. 

Sidereal  Day. 

Mean  Day. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                      " 

1873. 

8                    " 

0 

+0.633 

—1.03 

—0.915 

+3.84 

100 

0.551 

—0.35 

0.864 

3.26 

8 

// 

200 

0.464 

+0.33 

0.805 

2.66 

0,  Jan.   0 

—  0.22 

—0.282 

—  3 

+329 

—  1.35 

+  2 

—213 

300 

0.373 

1.01 

0.740 

2.04 

10 

+  9.75 

+0.048 

3 

329 

3.45 

2 

205 

400 

0.27e 

1.68 

0.669 

1.40 

20 

19.73 

0.374 

3 

321 

5.43 

2 

190 

30 

29.70 

0.687 

3 

304 

7.24 

3 

171 

1866. 

1874. 

Feb.    9 

8.67 

0.979 

3 

279 

8.83 

3 

147 

0 

+0.310+1.45 

—0.694+1.61 

19 
Mar.    1 
11 
21 

1865 
0.62 
10.59 
20.56 

1.244 
1.476 
l.(573 
1.835 

2 
2 
1 
1 

249 
215 
180 
144 

10.16 
11.21 
11.97 
12.44 

2 
2 
1 
1 

119 

90 
61 
33 

100 
200 
300 
400 

0.214 
0.116 

+0.017 
—0.083 

2.12 
2.76 
3.38 
3.97 

0.619     0.97 
0.539+0.31 
0.455—0.34 
0.368     0.99 

31 

30.54 

1.962 

—  1 

109 

12.64 

+  1 

—    8 

1867. 

1875. 

100,  Apr.  10 

9.51 

2.054 

0 

77 

12.61 

0 

+  14 

0 

—0.0494-3.78 

—0.398 

—0.77 

20 

19.48 

2.117 

0 

48 

12.37 

0 

33 

100 

0.148 

4.34 

0.308 

1.42 

30 

29.45 

2.150 

+  1 

+  20 

11.97 

0 

47 

200 

0.246 

4.87 

0.216 

2.05 

May  10 

9.43 

2.157 

2 

—    5 

11.44 

0 

59 

300 

0.342 

5.36 

0.123 

2.67 

20 

19.40 

2.141 

2 

27 

10.80 

0 

66 

400 

0.434 

5.80 

0.028 

326 

30 

29.37 

2.104 

2 

47 

10.12 

0 

69 

1868  B. 

1876  B. 

June  9 

8.34 

2.047 

3 

66 

9.42 

o 

71 

19 

18.?2 

.97:; 

3 

81 

8.71 

0 

71 

0 

—0.403 

+5.66 

—0060 

—3.07 

29 

28.29 

.886 

3 

94 

8.01   I      0 

68 

100 

0.493 

6.06 

+0.035 

3.64 

July  9 

8.26 

.786 

3 

105 

7.36 

0 

63 

200 
300 

0.579 
0.659 

6.42 
6.71 

0.130 
0.223 

4.19 
4.70 

300.          19 

18.24 

.677 

3 

113 

6.76 

0 

57 

400 

0.734 

6.95 

0.315 

5.17 

29 

28.21 

.562 

3 

116 

6.23 

—  1 

49 

. 

Aug.  8 

7.18 

.446 

3 

115 

5.78 

1 

39 

1869. 

1877. 

18 
28 

17.15 
27.13 

.334 
.232 

3 

2 

108 
95 

5.44 
5.23 

—  1 

0 

27 

0 
100 

—0.709 
0.779 

+6.88 
7.08 

+0.284 
0.374 

—5.02 
5.47 

**» 

27 

6.10 
16.07 
26.04 

.145 

.080 
.044 

2 
2 
1 

77 
52 
—  18 

5.17 
5.30 
5.61 

0 

+  1 

—    3 
22 
42 

200 
300 

400 

0.842 
0.89o 
0.945 

7.21 

7.28 
7.29 

0.462 
0.545 
0.625 

5.87 
6.23 
6.53 

Oct.    7 

6.02 

.045 

+  * 

+  20 

6.14 

1 

65 

1870. 

1878. 

17 

15.99 

.085 

0 

62 

6.91 

2 

89 

0 

—0.9301+7.29 

+0.599 

—6.43 

300,          27 

25.96 

.170 

0 

108 

7.93 

2 

115 

100 

0.973!    7.26 

0.675 

6.70 

Nov.  6 

4.94 

.301 

—  1 

153 

9.21 

2 

140 

200 

1.006     7.16 

0.745 

6.91  1 

16 

14.  9J 

.477 

1 

199 

10.73 

3 

164 

300 

1.031 

7.00 

0.810 

7.07  1 

26 

24.88 

.699 

1 

241 

12.47 

3 

184 

400 

1.048     6.79 

0.868 

7.17 

Dec.   6 

4.85 

.958 

2 

277 

14.39 

3 

199 

1871. 

1879. 

16 

26 
36 

14.83 
24.80 
34.77 

2.251 
2.566 

+2.894 

2 
3 
—  3 

305 
323 

+330 

16.43 
18.54 
—20.67 

3 
3 
+  4 

208 
213 
—210 

0 
100 
200 

—  1  043 
1.053 
1.055 

+6.87 
6.61 
6.30 

+0.849 
0.903 
0.949 

—7.14 

7.20 
7.20 

300 

1.047 

5.94 

0.987 

7  14 

400 

1.031 

5.52 

1.017     7.01 

1872  B. 

1880  B. 

•#  6  0,                Oct.  16.8. 

*  6  Mean  Sun,     Oct.  13.  L 

0 
100 

—1.037 
1.015 

+5.67 
5.23 

+  1.0081—7.06 
1  032!     6.90 

200 

0.984 

4.74 

1.048     6.68 

j 

300 

0.945 

4.2^ 

1.055 

6.40 

400 

—0.899 

+3.66 

+1.0531—6.07 

SPECIAL  TABLES. 


167 


TABLE  XXIV.—  T?  Bootis. 

h    m                                                   °      ' 

R.A.  13  48.5.                       Dec.  +  19    3, 

Upper  transit  at  fictitious  meridian. 

A0« 

Ao<* 

'Side 
i  real 

Aa* 

A^ 

AP<« 

AQ<5 

Sidereal  Day 

51  6  an  Day. 

I  Day 

1 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

187O. 

Var.in 
10  y. 

Diff.  foi 
10  d. 

1865. 

s              " 

1873. 

s               " 

c 

+0.437 

—0.27 

—  0.76-2!+3.26 

100 

0.351 

+0.43 

0.699 

2.64 

8 

// 

300 

0.261 

1.12 

0.631 

1.99 

0,Jan.    0 

—  0.20 

-0.436 

—  3 

+331 

—  7.54 

+  2 

—234 

30C 

0.169 

1.80 

0.558]     1.33  1 

10 

+  9.77 

—0.101 

3 

338 

9.75 

2 

207 

4U( 

0.075 

2.4? 

0.480J    0.67  ! 

20 

19.74 

+0.236 

3 

335 

11.67 

2 

174 

30 

29.71 

0.566 

3 

322 

13.22 

2 

135 

1866. 

1874. 

Feb.   9 

8.69 

0.877 

3 

299 

14.36 

2 

93 

•  0 

+0.107 

+2.25 

—0.507 

+0.89 

19 
Mar.   1 
11 
21 

18.66 
0.63 
10.60 

20.58 

.162 
.417 
.638 
.823 

3 
2 
2 

2 

271 
239 
203 
166 

15.08 
15.37 
15.23 
14.71 

0 
—  1 

50 
—    8 
+  33 
69 

100 
200 
300 
40( 

+0.013 
—0.081 
0.175 
0.267 

2.91 
3.54 
4.14 

4.70 

0.426 
0.343 
0.-257 
0.168 

+0.2-2 
—0.45 
1.12 
1.77  | 

31 

30.55 

.970 

1 

129 

13.86 

1 

100 

1867. 

1875. 

100,  Apr.  10 
20 

9.52 
19.50 

2.081 
2.157 

—  1 
0 

93 
60 

12.73 
11.40 

124 
141 

0 

!  100 

—0.236 
0.327 

+4.52 
5.06 

—0.198 
0.109 

—1.56 
2.20  ' 

30 

29.47 

2.201 

0 

+  29 

9.93 

152 

200 

0.415 

5.55 

—0.019 

2.83  ! 

May  10 
20 

9.44 
19.41 

2.215 
2.201 

0 

0 
-  27 

8.38 
6.84 

155 
153 

300 
400 

0.499 
0.578 

5.99 
6.39 

+0.071 
0.160 

3.43  I 
4.01 

30 

29.39 

2.162 

2 

50 

5.33 

145 

1868  B. 

1876  B. 

June  9 

8.36 

2.102 

2 

72 

3.95 

131 

1 

19 

18.33 

2.019 

3 

90 

2.71 

116 

0 

—0.552 

+6.26 

+0.130 

—3.82  1 

29 

28.30 

1.9-22 

3 

105 

1.64 

96 

100 

0.628 

6.6-2 

0.219 

4.37 

July  9 

8.28 

1.809 

3 

119 

0.80 

73 

200 

0.699 

6.91 

0.306 

4.89  ! 

300 

0.763 

7.15 

0.390 

5.37 

200,          19 

18.25 

.685 

3 

130 

—  0.18 

—  1 

49 

400 

0.821 

7.32 

0.471 

5.80  : 

29 
Aug.  8 

28.22 
7.19 

.551 
.414 

3 
3 

137 
136 

+  0.18 
0.28 

0 
0 

+  23 
—    3 

1869. 

1877. 

18 

28 

17.17 
27.14 

.281 
.155 

3 
3 

130 
120 

+  0.11 
—  0.34 

+  11 

31 

60 

0 

100 

—0.802 
0855 

+7.2? 

7.40 

+0.444 
0.523 

—5.67  ' 
6.07  i 

Sept.  7 
17 
27 

6.11 

16.09 
26.06 

1.043 

0.951 
0.886 

2 
2 
•     2 

103 
79 

47 

1.09 
2.11 
3.42 

1 

1 

2 

89 
117 
145 

200 
300 

401 

0.901 
0.938 
0.967 

7.47 
7.4? 
7.40 

0.598 
0.66? 
0.732 

6.42  ; 
6.7-2 
6.97  : 

Oct.    7 

6.03 

0.858 

1 

9 

5.00 

2 

172 

187O. 

1878. 

17 

16.00 

0.869 

-f-  1 

+  33 

6.86 

3 

198 

0 

—0.9581+7.43 

+0.7101—6.89  ; 

300,         27 

25.98 

0.925 

0 

80 

8.96 

3 

221  " 

loo 

0.98-2!    7.32 

0.771     7.10  ! 

Nov.  6 

4.95 

1.029 

0 

129 

11  26 

3 

241 

200 

0.99?     7.15 

0.825 

7.25  ' 

16 

14.92 

1.183 

—  1 

178 

13.76 

3 

257 

300 

1.004     6.92 

0.873 

7.34  : 

26 

24.89 

1.384 

1 

223 

16.37 

4 

265 

401 

1.0021    6.64 

0.91  :i 

7.37  : 

Dec.   6 

4.87 

1.628 

2 

264 

19.03 

4 

266 

1871. 

1879. 

16 

26 
36 

14.84 
24.81 
34.79 

1.909 
2.219 
+2.547 

2 
3 
—  3 

297 
320 
+334 

21.66 
24.22 
-26.58 

4 
4 
+  4 

261 
247 
—224 

0 
100 
200 

—1.003 
0.996 
0.979 

+6.74 
6.41 
6.03 

1 
+0.9001—7.37 
0.936     7.36 
0.964     7.28 

1 

300 

0.955 

5.60 

0.9841    7.15  ; 

400 

0.922 

oil  3 

0.995     6.96  i 

1872  B. 

1880  B. 

*  6  0,                 Oct.  22.2. 

! 

>j<  6  Mean  Sun,     Oct.  18.3. 

0 

—0.934 

+5.29 

+0.9921—7.03 

100 

0.897 

4.79 

0.998     6.80 

200 

0.852!     4.24 

0.996    '6.51 

300 

O.SOO|     3.67, 

0.985     6.J6 

1 

400 

—0.741+3.06 

+0.966—5.76  | 

168 


SPECIAL  TABLES. 


TABLE  XXIV.—  £  Centauri. 

h    m                                                    o      / 

E.A.  13  54.7.                       Dec.  —  59  45. 

Upper  transit  at  fictitious  meridian. 

A0a 

A0d 

Side- 
real    AOC 

AQd 

AQa 

A    <5 

Day. 

Si<  1*31*6  0.1  Day. 

1870. 

Var.  in 

10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                    " 

1873. 

8                    " 

0 

+  1.609 

—0.04 

—1.092 

+3.08 

100 

1.547 

+0.661!     1.693 

2.44 

s 

" 

200 

1.470 

3.35 

1,680 

1.78 

0,  Jan.    0 

—  0.20 

—0.822 

—10 

+564 

+16.01 

—  1 

—  50 

300 

1.381 

2.04 

1.654 

3.12 

10 

+  9.77 

—0.252 

8 

572 

15.25 

0 

100 

400 

1.280 

2.71 

1.634 

0.44 

20 

19.75 

+0.318 

7 

566 

14.02 

+  1 

146 

30 

29.72 

0.875 

6 

544 

12.34 

3 

388 

1866. 

1874. 

Feb.    9 

8.69 

1.402 

5 

510 

10.27 

4 

224 

0 

+3.315+2.49 

-3.628 

+0.67 

39 
Mar.    3 
31 
21 

18.66 
0.64 
30.61 

20,58 

1.891 
2.332 
2.719 
3.047 

3 

—  2 
0 
-h  1 

466 
435 

358 
299 

7.88 
5.23 

+  2.39 

—  0.58 

4 
5 
5 
6 

253 
276 

303 

100 
200 
300 
400 

1.206 
1.086 
0.957 
0.820 

3.14 
3.77 
4.30 
4.91 

.580 
.538 
.444 
—  .358 

—0.01 
0.69 
1.35 
2.01 

31 

30.55 

3.316 

3 

239 

3.61 

6 

304 

i  1867. 

1875. 

100,  Apr.  30 
20 

9.53 
39.50 

3.525 
3.674 

5 
6 

179 
119 

6.64 
9.60 

6 
6 

300 
291 

0 
300 

+0.367 
0.725 

+4.73 
5.26 

—  .388 
.295 

—1.79 
2.44 

30 

29.47 

3.763 

8 

60 

12.45 

6 

277 

200 

0.576 

5.74 

.391 

3.06 

May  30 

9.44 

3.794 

9 

+    2 

15.13 

5 

259 

300 

0.422 

6.17 

.077 

3.66 

20 

39.42 

3.768 

10 

—  54 

17.61 

5 

234 

400 

0.265 

6.55 

0.954 

4.23 

30 

29.39 

3.686 

13 

108 

39.79 

5 

204 

1868  B. 

1876  B. 

June  9 

8.36 

3.553 

12 

158 

23.68 

4 

172 

39 

38.34 

3.372 

33 

203 

23.21 

3 

334 

0 

+0.318 

+6.43' 

—0.990 

—4.04 

29 

28.31 

3.148 

33 

243 

24.35 

2 

94 

100 

+0.160 

6.77 

0.809 

4.59 

July  9 

8.28 

2.887 

13 

275 

25.08 

1 

51 

200 

0.000 

7.05 

0.734 

5.10 

300 

—0.160 

7.27 

0.598 

5.57 

200,          39 

18.25 

2.600 

12 

300 

25.36 

+  1 

—    6 

400 

0.317 

7.42 

0.440 

6.00 

29 

28.23 

2.291 

32 

315 

25.39 

0 

+  40 

Aug.  8 

7.20 

3.974 

33 

317 

24.57 

0 

1        ^v 

84 

1869. 

1877. 

18 
28 

17.17 
27.14 

3.662 
1.369 

10 
9 

305 
280 

23.52 
22.09 

—  1 

2 

325 
162 

0 
300 

-0.265 

0.420 

+7.38 
7.49 

—0.496 
0.347 

—  5.8G 
6.25 

Sept.  7 
17 
27 

6.12 

16.09 
26.06 

1.107 

0.893 
0.738 

8 
7 
6 

240 
386 
120 

20.30 
38.23 
35.94 

2 
2 
3 

394 

219 
2.36 

200 
300 
400 

0.573 
0.720 
0.858 

7.53 
7.51 

7.43 

0.195 
—0.043 
+0.114 

6.58 
6.87 
7.10 

Oct.    7 

6.04 

0.656 

5 

—  42 

33.54 

3 

243 

1870. 

1878. 

37 

16.01 

0.656 

4 

+  43 

11.12 

3 

240 

0 

—0.813 

+7.46 

+0.061  1—7.03 

300,          27 

25.98 

0.744 

2- 

334 

8.77 

3 

227 

100 

0.948 

7.33 

0.216 

7.21 

Nov.   6 

4.95 

0.924 

4-  1 

225 

6.61 

3 

204 

200 

3.074 

7.14 

0.368 

7.34 

16 

14.93 

1.192 

-  1 

332 

4.72 

2 

371 

300 

1.391 

6.89 

0.519 

7.42 

26 

24.90 

1.545 

392 

3.22 

—  1 

330 

400 

1.297 

6.58 

O.OGG 

7.42 

Dec.   6 

4.87 

1.972 

459 

2.14 

0 

85 

1871. 

1879. 

36 
26 
33 

14.84 

24.82 
34.79 

2.459 
2.991 
+3.552 



512 

549 
+569 

1.54 
3.46 

—  3.88 

+  3 

+  34 
—  37 
—  67 

0 
300 
200 

—1.263 
3.362 
3.449 

+6.69 
6.34 
5.94 

+0.6  1  6—  7.43 
0.759;     7.39 
0.896     7.30 

300 

1.523 

5.49 

1.020       7.14 

i 

400 

1.585 

5.00 

1.147 

6.93 

, 

1872  B. 

1880  B. 

*  d  ©,                 Oct.  23.9. 

^c  6  Mean  Sun,     Oct.  19.9. 

0—3.  560 

+5.17  +1.107!—  7.01 

i 

100     1.018 

4.65 

1.223     6.75 

200     1.657 

4.08' 

1.3>8     6.44 

300     1.082 

3.49      1.423     6.07 

' 

400—3.693 

+2.87  +1.506;—  5.65 

'  ! 

SPECIAL  TABLES. 


169 


TABLE  XXIV.—  *aDraconis. 

h    m                                                    o      i 

R.A.  14    0.9.                        Dec.  +  65    0. 

Upper  transit  at  fictitious  meridian. 

A.  a 

" 

A.«J 

Side- 
real 

AQa 

Aa<* 

AQa 

A    d  1 

Day. 

" 

SidcroQl  Day 

vr              T")QV 

y- 

*  e-n     •  Var.  in  Diff.  for 

1870. 

Var.  in 

Diff.  for 

1865. 

1873. 

i  iu  v. 

10  d. 

10  y. 

10  d. 

8                    " 

8 

t 

0 

—0.588 

+0.19 

+0.064 

+2.90 

100 

0.692 

0.90 

O.J79 

2.25 

1 

/' 

200 

0.789 

1.60 

0.293 

1.59 

0,Jan.    0 

—  0.19 

-1.217 

—  2 

+563 

—17.69 

+  2 

—227 

300 

0.880 

2.28 

0.404 

0.91 

10  j+  9  78 

0.636 

3 

596 

19.68 

1 

170 

400 

0.963 

2.95 

0.511 

0.23 

20 

J9.75 

—0.031 

4 

609 

21.07 

+   1 

106 

30 

29.72 

+0.576 

5 

601 

21.79 

0 

—  39 

1866. 

1874. 

Feb.    9 

8.70 

1.J65 

5 

573 

21.85 

0 

+  27 

0 

—0.936  +2.73 

+0.475+0.47 

19 
Mar.    1 

18.67 
0.64 

1.716 
2.213 

6 
6 

527 

465 

21.25 

20.03 

—  1 
1 

92 
151 

100 
200 

1.014 
1.083 

3.38 

4.00 

0.579 
0.678 

—0.23 
0.91 

11 
21 

10.62 
20.59 

2.642 
2.992 

6 
6 

391 
308 

18.26 
16.01 

2 
2 

203 
245 

300 
400 

1.142 
1.193 

4.58 
5.13 

0.772 
0.859 

1.58 
2.24 

31 

30.56 

3.256 

6 

220 

J3.39 

2 

277 

1867. 

1875. 

100,  Apr.  10 
20 

9.53 
19.51 

3.430 
3.515 

6 
5 

129 

+  41 

10.51 
7.49 

2 
2 

297 
306 

100 

—1.1761+4.95 
1.219     5.47 

+0.830 
0912 

—2.01 
2.66 

30 

29.48 

3.514 

5 

—  44 

4.44 

2 

302 

200 

1.251      5.94 

0.987 

3.28 

May  10 

9.45 

3.430 

4 

123 

—  1.47 

2 

289 

300 

1.272     6.35 

1.053 

3.88 

20 

19.42 

3.270 

3 

195 

+  1.31 

2 

266 

400 

1.282|    6.72 

1.111 

4.44 

30 

29.40 

3.043 

2 

258 

3.81 

2 

234 

1868  B. 

1876  B. 

June  9 

8.37 

2.757 

—  1 

312 

5.96 

1 

195 

19 

18.34 

2.422 

0 

357 

7.70 

1 

J51 

0 

—1.280 

+6.60 

+1.092—4.26 

29 

28.31 

2.047 

+  1 

391 

8.97 

—  1 

103 

100 

1.282 

6.92 

1.144     4.79 

July   9 

8.29 

1.642 

2 

416 

9.75 

0 

+  52 

200 

1.274 

7.18 

1.187     5.29 

300 

1.254 

7.38 

1.219     5.75 

200,          19 

18.26 

1.219 

3 

430 

10.01 

0 

0 

400 

1.223 

7.52 

1.241!    6.16 

29 

28.23 

0.786 

4 

434 

9.75 

0 

—  52 

Aug.  8 

7.20 

+0.354 

5 

427 

8.93 

+  1 

103 

1869. 

1877. 

18 
28 

17.18 
27.15 

—0.065 
0.460 

5 
6 

409 
380 

7.70 
5.93 

1 

2 

153 

200 

0 
100 

—1.235 
1.197 

+7.48 
7.57 

+1.235 
1.250 

-6.03 
6.40 

Sept.  7 
17 

27 

6.12 
16.10 
26.07 

0.821 
1.136 
1.392 

6 

7 
6 

340 

287 
224 

3.72 

+  1.09 
—  1.91 

2 
3 
3 

243 

282 
316 

200 
300 

400 

1.149 
1.092 
1.025 

7.59 
7.55 
7.44 

1.256 
1.251 
1.236 

6.73 
6.99 
7.21 

Oct.    7 

6.04 

1.580 

6 

151 

5.22 

3 

345 

1870. 

1878. 

17 

16.01- 

1.690 

6 

-  68 

8.78 

3 

366 

0 

—1.048 

+7.49 

+1.242 

—7.14 

300,          27 

25.99 

1.714 

5 

+  22 

12.51 

4 

380 

100 

0.976 

7.34 

1.220 

7.31 

Nov.   6 

4.96 

1.645 

5 

116 

16.34 

4 

385 

200 

0.894 

7.12 

1.188 

7.42 

16 

14.93 

1.481 

4 

212 

20.17 

4 

380 

300 

0.806 

6.85 

1.146 

7.48 

26 

24.90 

1.222 

3 

306 

23.91 

4 

3(56 

400 

0.711 

6.52 

1.C94 

7.47 

Dec,    6 

4.88 

0.871 

2 

393 

27.45 

4 

341 

1871. 

1879. 

16 
26 

36 

14.85 
24.82 

34.80 

-0.439 
+0.064 
+0.620 

+  1 
0 
—  1 

470 
532 
+577 

30.69 
33.52 
—35.87 

3 
3 
+  3 

305 
260 
—207 

0 
100 

200 

—0.7441+6.64 
0.644     6.27 
0.540     5.85 

+1.113 
1  .055 
0.985 

—7.43 
7.42 
7.31 

300 

0.432     5.38 

fi  Ql  *3 

7.13 

400 

o'.320j    4!86;|    oisSO 

1872  B. 

1880  B. 

*  8  Mean  Sun,     April  21.8. 
*  6  0,                  Oct.  25.5. 

0 

-0.358+5.04 

!+0.  859;—  6.98 

^c  6  Mean  Sun,     Oct.  21.4. 

100 
200 

0.244     4.50J;    0.771 
0.129}    3.93!     0.676 

6.71 

6.37  i 

—0.013     3.32ii    0.575 

5.99 

400  +0.  103+2.  66  +0.470 

—5.55 

170 


SPECIAL  TABLES. 


TABLE  XXIV.-flBootis. 

h    m                                                       01 

E.A.  14  20.8.                       Dec.  +  52  27. 

Upper  transit  at  fictitious  meridian. 

A^a 

A0cJ 

Side- 
real 

AQa 

AQ<5 

A^a 

Anrf 

Day. 

Sid.or63rl  D«iy» 

Alt'  fill  DflV 

1870. 

Var.inDiff.  for 
10  y.      10  d. 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                   " 

1873. 

a              " 

0 

—0.103 

+0.93 

—0.302 

+2.29 

100 

0.193 

1.65 

0.21? 

1.61 

B 

// 

200 

0.28! 

2.35 

0.130 

091 

0,  Jan.   0 

—  0.18 

-1.005 

—  2 

+411 

—15.18 

+  2 

—261 

300 

0.357 

3.03 

—0.042 

+0.21 

10 

+  9.79 

0.580 

3 

437 

17.55 

2 

211 

400 

0.449 

3.69 

+0.045 

—0.50 

20 

19.76 

—0.135 

3 

449 

19.37 

2 

153 

30 

29.74 

+0.314 

3 

446 

20.60 

+  I 

91 

1866. 

1874. 

Feb.  9 

8.71 

0.753 

4 

430 

21.19 

0 

—  27 

0 

—0.422 

+3.47 

+0.016-0.26 

19 
Mar.  1 
11 
21 

18.68 
0.65 
10.63 
20.60 

1.170 
1.551 

1.888 
2.174 

4 
4 
4 
4 

401 
361 
313 
259 

21.14 

20.48 
19.23 

17.48 

0 
0 

—  1 

2 

+  36 
96 
151 

198 

100 

200 
300 
400 

0.502 
0.57» 
0.649 
0.714 

4.11 
4.71 

5.27 
5.79 

0.103 
0.190 
0.275 
0.35? 

0.96 
1.65 
2.32 

298 

31 

30.57 

2.404 

3 

201 

15.29 

2 

236 

1867. 

1875. 

100,  Apr.  10 
20 

9.54 
19.52 

2.576 
2.689 

3 
2 

142 

84 

12.79 

10.05 

2 
3 

264 

281 

0 
100 

—0.693 
0754 

+5.62 
6.10 

+0.328 
0.410 

—2.76 
3.39 

30 

29.49 

2.744 

2 

+  26 

7.21 

3 

285 

200 

0.808 

6.53 

0.486 

4.00 

May  10 

9.  46 

2.743 

1 

—  27 

4.37 

2 

280 

300 

0.856 

6.90 

0.559 

4.58 

20 

19.44 

2.692 

—  1 

76 

—  1.63 

2 

266 

400 

0.896 

7.21 

0.627 

5.12 

30 

29.41 

2.592 

0 

122 

+  0.93 

2 

244 

1868  B. 

1876  B. 

June  9 
19 

8.38 
18.35 

2.450 
2.269 

0 
+  1 

162 
197 

3.22 
5.17 

1 

213 
177 

0 

—0.883+7.11 

+0.605—4.94 

29 

28.33 

2.057 

2 

227 

6.74 

—  1 

136 

100 

0.918     7.38 

0.670     5.45 

July  9 

8.30 

1.818 

2 

252 

7.88 

0 

91 

200 
300 

0.944     7.58 
0.963     7.72 

0.729     5.92 
0.78i>     6.34 

200,          19 

18.27 

1.556 

3 

269 

8.56 

0 

+  44 

400 

0.973     7.79 

0.829|    6.70 

29 

28.24 

1.283 

3 

278 

8.75 

0 

4 

Aug.  8 

7.22 

1.002 

3 

282 

8.47 

+  1 

52 

1869. 

1877. 

18 
28 

17.19 
27.16 

0.721 
0.449 

3 
3 

278 
263 

7.71 
6.47 

2 

2 

100 
147 

0 
100 

—0.970 
0.974 

+7.77 
779 

+0.813—6.59 
0.856     6.91 

«*£ 

27 

6.14 
16.11 

26.08 

+0-.197 
-0.028 
0.216 

3 
3 
3 

240 

208 
167 

4.78 
2.67 
+  0.16 

2 
2 
3 

190 
232 

270 

200 
300 
400 

0.970 
0.958 
0.937 

7.75 
7.64 

7.46 

0.891      7.19 
0.9l9j    7.40 
0.940J    7.55 

Oct.    7 

6.05 

0.360 

3 

117 

—  2.71 

3 

302 

1870*                    1878. 

17 

16.03 

0.447 

2 

—  58 

5.88 

4 

330 

0 

—0.945 

+7.53 

+0.934;—  7.51 

300,          27 

26.00 

0.474 

2 

+    7 

9.30 

4 

352 

100 

0.919 

7.3i 

0.949 

7.62 

Nov.  6 

4.97 

0.432 

1 

76 

12.89 

5 

365 

200 

0.885 

7.03 

0.957     7.67 

16 

14.94 

0.321 

+  1 

147 

16.57 

5 

368 

300 

0.844 

6.69 

0.956     7.65 

26 

24.92 

—0.138 

0 

217 

20.23 

5 

364 

400 

0.795 

6.29 

0.948;    7.58 

Dec.  6 

4.89 

+0.111 

0 

282 

23.81 

4 

350 

1871. 

1879. 

16 

26 
36 

14.86  ' 
24.83 
34.81 

0.423 
0.789 
+1.194 

—  1 
2 
—  3 

340 

387 
+422 

27.19 
30.26 
—32.92 

4 
4 

+  3 

324 

288 
—243 

0 
100 

200 

—0.812 
0.759 
0.700 

+6.43 
6.00 
5.51 

+0.952 
0.939 
0.91? 

—7.61 
7.49 
7.31 

300 

0.635 

4.98 

0.88^ 

7.C6 

400 

0.564 

4.41 

0.852 

6.76 

1872  B. 

1880  B. 

*  6  0,                 Oct.  30.6 
3JC  <5  Mean  Sun,     Oct.  26.5 

0 

—0.588;  +4.  61 

+0.865 

-6.87 

100 

0.515     4.02 

0.823 

6.52 

200 

0.437     3  39 

0.775 

6.12 

300 

0.356     2.74 

0.720 

5.67 

400 

—0.2731+2.07 

+C.658—  5.17 

SPECIAL  TABLES. 


171 


TABLE  XXIY.—*  5  Ursae  Minoris. 

h    m                                                    °      ' 

R.A.  14  27.8.                       Dec.  +  76  16. 

Upper  transit  at  fictitious  meridian. 

A    a 

A0* 

Side- 
real 

AQa 

Aad 

Aqa 

A    6 

' 

Day. 

SiQcrcBl  Duy. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

187O. 

Var.  in 
10  y. 

Diff.  for 
lOd. 

1865. 

B                     " 

1873. 

8                     " 

0 

—  .678 

+1.20 

+  1.034 

+208 

100 

.778 

1.92 

1.186 

1.38 

8 

// 

200 

.862 

2.62 

1.327 

+0.68 

0,  Jan.  0 

—  0.18 

—2.803 

+  9 

+847 

—17.65 

0 

-239 

300 

.931 

3.30 

1.457 

—0.03 

10 

+  9.80 

1.911 

7 

931 

19.76 

0 

182 

400 

.982 

3.95 

1.574 

0.74 

20 

19.77 

—0.951 

4 

982 

21.26 

0 

118 

30 

29.74 

+0.042 

_|_  2 

998 

22.11 

0 

—  51 

1866. 

1874. 

Feb.   9 

8.72 

1.032 

—  1 

978 

22.28 

0 

+  17 

0 

—1.967 

+3.73 

+1.536 

—0.50 

19 
Mar.   1 
11 
21 

18.69 
0.66 
1063 
20.61 

1.985 
2.867 
3.649 
4.305 

4 
7 
9 
11 

923 
836 
723 

588 

21.77 

20.63 
18.89 
16.66 

0 
0 
0 
0 

83 
145 
200 
245 

100 
200 
300 
400 

2.007 
2.029 
2.034 
2.021 

4.36 
4.96 
5.51 
6.01 

1.645 
1.740 

1.820 
1.886 

1.21 
1.90 
2.57 
3.22 

31 

30.58 

4.819 

12 

437 

14.02 

0 

280 

1867. 

1875. 

100,  Apr.  10 
20 

9.55 
19.52 

5.176 
5.372 

13 
14 

277 
+114 

11.09 

7.98 

0 
0 

304 
316 

0 
100 

—2.028+5.85 
2.003!    6.31 

+1.865 
1.920 

—3.01 
3.64 

30 

29.50 

5.405 

14 

—  47 

4.82 

0 

315 

200 

1.961      6.72 

1.960 

4.24 

May  10 

9.47 

5.280 

13 

201 

—  1.71 

0 

304 

300 

1.902     7.08!     1.983 

4.81 

20 

19.44 

5.006 

12 

345 

+  1.23 

0 

283 

400 

1.8271    7.37 

1.989 

5.34 

30 

29.42 

4.595 

11 

474 

3.91 

0 

252 

1868  B. 

1876  B. 

June  9 

8.39 

4.063 

9 

588 

6.25 

0 

214 

19 

18.36 

3425 

7 

6«3 

8.18 

0 

171 

0 

—1.854 

+7.28 

+1.989 

—5.17 

29 

28.33 

2.702 

4 

761 

9.65 

0 

122 

100 

1.768 

7.53 

1.985 

567 

July    9 

8.31 

1.911 

—  1 

818 

10.61 

0 

70 

200 
300 

1.667 
1.551 

7.71 

7.82 

1.964 

1.928 

6.12 
6.5^ 

200,          19 

18.28 

1.073 

+  2 

855 

11.05 

0 

+  17 

400 

1.422 

7.87 

1.875 

6.87 

29 
Aug.  8 

28.25 
7.22 

+0.207 
—0.667 

5 

8 

873 

870 

10.95 
10.33 

0 
0 

—  36 

89 

1869. 

1877. 

18 
28 

17.20 
27.17 

1.527 
2.355 

11 
14 

847 
805 

9.17 
7.52 

0 
0 

141 

190 

0 
100 

—1.467 
1.330 

+786 
7.86 

+1.895 
1.832 

—6.76 

7.07 

Sept.  7 
17 
27 

6.14 
16.12 
26.09 

3.130 
3.831 

4.440 

17 
20 
22 

742 

658 
556 

5.39 
+  2.83 
—  0.11 

0 
0 
0 

235 
276 
312 

200 
300 
400 

1.182 
1.024 

0.858 

7.79 
7.66 
7.46 

1.754 
1.661 
1.553 

7.33 
7.52 
7.66 

Oct.    7 

6.06 

4.938 

24 

436 

3.39 

0 

342 

1870. 

1878. 

17 

16.03 

5.307 

26 

299 

6.94 

0 

366 

0 

—0.915 

+7.53 

+1.592 

—7.62 

300,          27 

26.01 

5.532 

27 

—149 

10.68 

0 

381 

100 

0.743 

7.29 

1.477 

7.71 

Nov.  6 

4.98 

5.601 

27 

+  12 

14.53 

0 

388 

200 

0.566 

6.98 

1.349 

7.74 

16 

14.95 

5.506 

27 

178 

18.41 

0 

385 

300 

0.385 

6.62 

1.210 

7.70 

26 

24.92 

5.245 

27 

344 

22.20 

0 

373 

400 

0.200 

6.20 

1.060 

7.60 

Dec.  6 

4.90 

4.820 

26 

505 

25.82 

0 

349 

1871. 

1879. 

16 
26 
36 

14.87 
24.84 
34.82 

4.241 
3.523 
—2.690 

25 
23 
+21 

653 

780 

+882 

29.16 
32.10 
—34.55 

0 
0 
0 

315 
271 
—219 

0 
100 
200 

-0.263 
—0.078 
+0.108 

+6.34 
5.89 
5.38 

+1.112 
0.956 
0.792 

—7.64 
7.50 
7.29 

300 

0.292 

4  84 

0.621 

7.03 

400 

0.473 

4.25 

0.444 

6.*70 

• 

1873  B. 

188OB. 

:>fc  8  Mean  Sun,     April  28.7. 

*  6  0,                Nov.     1.5. 

o 

+0.4121+4.45 

+0  505—6.81 

*  d  Mean  Sun,     Oct.    28.3. 

100     0.590!    3.84 

0.325     6.45 

200     0.763     3.20 

+0.1421     6.03 

300     0.929     2.53 
400+1.0861+1.84 

—0.042     5.56 
—0.227;—  5.04 

172 


SPECIAL  TABLES. 


TABLE  XXIV.—  a2  Centaurl. 

h    m                                                     °      ' 

E.A.  14  30.8.                       Dec.  —  60  18. 

Upper  transit  at  fictitious  meridian. 

AQa 

AQ<> 

' 

Side- 
real 

Aaa 

A^(5 

AQa 

AQrf 

-. 

vl/ 

Day. 

187O. 

Var.  in 

10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

s             " 

1873. 

8                      " 

0 

+1.620 

+1.30 

—1.756 

+1.97 

100 

1.544 

2.02 

1.746 

1.27 

s 

// 

200 

1.455 

2.72 

1.722 

+0.56 

0,Jan.    0 

—  0.18 

—  1.231 

—  9 

+544 

+15.04 

—  2 

+     3 

300 

1.354 

3.40 

1.633 

—0.15 

10 

+  9.80 

0.675 

8 

566 

14.83 

—  1 

—  46 

400 

1.240 

4.05 

1.631 

0.86 

20 

19.77 

—0.105 

8 

571 

14.13 

+  1 

93 

30 

29.74 

+0.462 

7 

562 

12.98 

2 

137 

1866. 

1874. 

Feb.   9 

8.72 

1.015 

6 

540 

11.41 

2 

175 

0 

+1.280 

+3.84 

—1.650 

—0.62 

19 
Mar.   1 
11 
21 

18.69 
0.66 
10.63 
20.61 

1.538 
2.022 
2.460 
2.846 

4 
3 
—  1 

+  1 

505 
462 
413 
360 

9.50 

7.28 
4.82 
+  2.18 

3 
4 
5 
5 

207 
235 

256 

270 

100 
200 
300 
400 

1.158 
1.027 

0.887 
0.738 

4.46 

5.05 
5.6U 
6.09 

1.589 
1.515 
1.428 
1.330 

1.33 

2.02 
2.69 
3.34 

31 

30.58 

3.178 

2 

303 

—  0.57 

6 

279 

1867. 

1875. 

100,  Apr.  10 
20 

9.55 
19.52 

3.451 
3.666 

3 
5 

244 

186 

3.39 
6.21 

6 

7 

283 
281 

0 
100 

+0.789 
0.636 

+5.93 
6.40 

—1.365 
1.259 

—3.13 
3.76 

30 

29.50 

3.820 

6 

125 

8.99 

7 

273 

2(10 

0.478 

6.80 

1.144 

436 

May  10 

9.47 

3.913 

8 

62 

11.66 

6 

261 

300 

0.316 

7.15 

1.019 

4.93 

20 

19.44 

3.944 

9 

+     1 

14.19 

5 

244 

400 

0.152 

7.43 

0.885 

5.45 

30 

29.42 

3.915 

10 

—  58 

16.52 

5 

221 

1868  B. 

1876  B. 

June  9 
19 

8.39 
18.36 

3.828 
3.683 

11 
12 

116 
171 

18.60 
20.38 

5 
4 

194 
162 

0 

+0.208 

+7.34 

—0.931 

—5.28 

29 

28.33 

3.487 

13 

221 

21.82 

3 

126 

100 

+0.04-2 

7.58 

0.793 

577 

July   9 

8.31 

3.242 

13 

265 

22.88 

3 

86 

200 
300 

—0.124 

0.288 

7.76 

7.86 

0.648 
0.499 

6.22 
6.6-2 

200,          19 

18.28 

2.958 

13 

301 

23.53 

3 

-  44 

400 

0.450 

7.90 

0.344 

6.96 

29 

28.25 

2.642 

13 

329 

23.75 

2 

0 

Aug.  8 

7.22 

2.303 

12 

342 

23.53 

+  1 

+  44 

1869. 

1877. 

18 
28 

17.20 
27.17 

1.961 
1.623 

12 
11 

342 
329 

22.87 
21.79 

0 
—  1 

87 
128 

0 
100 

—0.396 
0.555 

+7.90 

7.89 

—  0.39C 
0.239 

-6.85 
7.16 

Sept.  7 
17 

27 

6.14 
16.11 
26.09 

1.307 
1.030 

0.805 

9 

8 
6 

299 
253 
193 

20.32 
18.51 
16.42 

1 
2 

2 

165 
196 

2-20 

200 
300 
400 

0.709 
0.855 
0.995 

7.81 
7.66 
7.45 

—0.080 
+0.08U 
0.239 

7.40 
7.59 
7.71 

Oct.    7 

6.06 

0.648 

5 

121 

14.14 

3 

234 

1870. 

1878. 

17 

16.03 

0.567 

4 

—  37 

11.76 

2 

239 

0 

—0.9491+7.52 

+0.185 

—7.67 

300,          27 

26.01 

0.577 

3 

+  56 

9.38 

2 

236 

100 

.08si|    7.28 

0.344 

7.75 

Nov.   6 

4.98 

0.679 

+  2 

149 

7.07 

2 

222 

200 

.206 

6.96 

0.500 

7.77 

16 

14.95 

0.875 

0 

242 

4.97 

2 

197 

300 

.319 

6.58 

0.65-2 

7.72 

26 

24.92 

1.162 

0 

329 

3.15 

—  1 

165 

400 

•    .421 

6.15 

0.799 

7.61 

Dec.   6 

4.90 

1.530 

0 

406 

1.68 

0 

125 

1871. 

1879. 

16 
26 
36 

14.87 

24.84 
34.81 

1.970 

2.468 
+3.008 

—  1 
1 
—  1 

471 
521 

+555 

0.67 
0.09 
—  0.02 

+  1 

-M 

80 
+  33 
—  16 

0 
100 
200 

-  .388 
.481 
.562 

+6.31 

5.84 
5.33 

+0.750 
0.893 
1.030 

—7.65 

7  50 

7.28 

300 

.629 

4.77 

1.157 

7.00 

400 

.682 

4.17 

1.276 

6.66 

1872  B. 

1880  B. 

*  6  ©,                 Nov.  2.2. 

*  6  Mean  Sun,     Oct.  29.0. 

0 

—  .665 

+4.38 

+1.237 

—6.78 

100 

.709 

3.76 

1.349 

6.41 

200 

.738 

3.11 

1.450 

5.98 

300 

1.753 

2.44 

1.538 

5.49 

400 

—1.753 

+  1.75 

+1.614 

—4.96 

i 

SPECIAL  TABLES. 


173 


TABLE  XXIV.—  e  Bootis. 

h    m                                                    °      ' 

R.A.  14  39.3.                       Dec.  +  27  37. 

Upper  transit  at  fictitious  meridian. 

AQa 

AQ<J 

Side- 
real 

A^a 

And 

AQ« 

An* 

Day. 

Sidereal  Day. 

1870. 

Var.in 
lOy. 

Diff.  for 
10  d. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                    " 

1873. 

8                     " 

0 

+0.341 

+1.62  —0.663'+].  7  1 

100 

0.258 

2.34 

0.600      1.00 

8 

// 

200 

0.172 

3.04 

0.5321+0.28 

0,Jau.    0 
10 

—  0.17 
+  9.80 

—0.779 
0.454 

—  2 
3 

+315 
334 

-  9.14 
11.60 

+  | 

—261 
230 

300+0.085 
400—0.003 

3.71 
4.35 

0.460;—  0.45 
0.384     1.16 

20 

19.78 

—0.114 

3 

343 

13.72 

2 

192 

30 

29.75 

+0.229 

3 

340 

15.42 

2 

146 

1866. 

1874. 

Feb.    9 

8.72 

0.564 

3 

328 

16.63 

1 

97 

0 

+0.027+4.14 

—0.410 

-0.92 

19 
Mar.    1 
11 
21 

18.69 
0.67 
10.64 
20.61 

0.883 
1.180 
1.448 
1.683 

3 
3 
3 
2 

309 
283 
252 
217 

17.35 
17.55 

17.25 
16.48 

1-1  00  0 

+ 

—  46 

+    5 

54 
99 

100 
200 
300 
400 

—0.061 
0.149 
0.235 
0,319 

4.76 
5.34 
5.87 
6.35 

0.332 
0.252 
0.170 
0.086 

1.63 
SJ.32 
3.00 
3.64 

31 

30.58 

1.882 

2 

182 

15.30 

—  1 

137 

1867. 

1875. 

100,  Apr.  10 

9.56 

2.047 

1 

146 

13.76 

1 

167 

0 

—0.291 

+6.20 

—0.114 

-3.43 

20 
30 

19.53 
2950 

2.174 
2.265 

1 
—  1 

109 
74 

11.97 
9.99 

2 

190 
204 

100 
200 

0.374 
0.453 

6.64  j—  0.030 
7.03  '-4-0.054 

4.06 
4.65 

May  10 

9.48 

2.322 

0 

39 

7.91 

2 

211 

300 

0.528 

7.35 

0.138 

5.20 

20 

19.45 

2.344 

0 

+    6 

5.80 

1 

209 

400 

0.598 

7.6J 

0.220 

5.71 

30 

2942 

2.335 

-f-  1 

-  24 

3.75 

1 

200 

1868  B. 

1876  B. 

June  9 
19 

8.39 
18.37 

2.297 
2.228 

2 

54 

80 

1.82 

—  0.07 

0 

185 
164 

0 

—0.575 

+7.53 

+0.192 

—5.55 

29       28.34 

2.137 

2 

104 

+  1.45 

0 

140 

100 

0.642 

7.75 

0.274 

6.03 

July  9 

8.31 

2.020 

2 

127 

2.72 

0 

lit 

200 
300 

0.704 
0.759 

7.90 
7.97 

0.353 
0.429 

6.46 

6.84 

200,          19 

18.28 

.884 

2 

146 

3.67 

0 

80 

400 

0.807 

7.9e 

0.502 

7.16 

29 

28.26 

.730 

2 

100 

431 

0 

46 

Aug.  8 

7.23 

.566 

2 

169 

4.59 

0 

+  12 

1869. 

1877. 

18 
28 

17.20 

27.18 

.394 
.225 

3 
3 

172 
167 

4.54 
4.12 

-f-  1 

—  23 
59 

0 

100 

—0.791 
0.8:55 

+7.99 
7.9o 

+0.478 
0.548 

—  7.C6 
7.34 

Sept.  7 
17 
27 

6.15 
16.12 

26.09 

1-062 
0.9JO 
0.792 

2 
2 

2 

156 

136 
110 

3.35 
2.23 
+  0.74 

2 
2 
3 

95 
130 
164 

200 
300 
400 

0.872 
0.900 
0.921 

7.85 
7.67 
7.43 

0.613 
0.674 
0.730 

7.56 
7.73 

7.82 

Oct.    7 

6.07 

0.699 

2 

74 

—  1.04 

3 

196 

1S7O. 

1878. 

17 

16.04 

0.646 

+  1 

—  30 

3.16 

4 

227 

0 

—  0.915'+7.52 

+0.712—  7.80 

|  300,          27 

26.01 

0.640 

0 

+  18 

5.56 

4 

253 

100 

0.930 

7.24 

0763     7.85 

Nov.   6 

4.98 

0.682 

0 

68 

8.20 

4 

275 

200 

0.938 

6.81) 

0.808     7.84 

16 

14.96 

0.776 

0 

122 

11.04 

5 

291 

300 

0.937 

6.49 

0.847     7.77 

26 

24.93 

0.925   —  1 

174 

13.99 

5 

299 

400 

0.929     6.03 

0.871)     7.63 

Dec.   6 

4.90 

1.123         2 

2*2 

16.99 

5 

301 

1871. 

1879. 

16 
26 
30 

14.87 
24.85 

34.82 

1.368 
1.651 
+1.962 

1 

CO  1C  tO 

265 
298 
+323 

19.98 
22.83 
—25.47 

5 
5 
+  5 

294 
276 
-251 

0 
100 
200 

—0.932+6.11) 
0.919|    5.70 
0.897     5.16 

+0.869—7.68 
0.89*.     7.50 
0.915     7.25 

300 

0.868 

4.58!      0.92: 

6.94 

400 

0.831!    39C 

0.932 

6.58 

1872  B. 

1S80  B. 

*  d  0,                 Nov.  4.3. 

^c  d  Mean  Sun,     Oct.  31.2. 

0—  0.844'+4.18  +0.931  -6.71 

100     0.803!     3.54 

0.931 

6.31 

200     0.756 

2.87      0.921 

585 

300     0.702 

2.18J    0.905 

5.34 

400—0.642+1.47  +0.880 

—4.78 

174 


SPECIAL  TABLES. 


TABLE  XXIV.—  /a  Bootis. 

h    m                                                    o      / 

R.A.  14  57.0.                       Dec.  +  40  54. 

Upper  transit  at  fictitious  meridian. 

A    a 

A0d 

Side- 
real 

A^a 

AQ6 

*Q« 

AQ<J 

Day. 

Sidereal  Day. 

AT  ORTI  Dflv 

y' 

i 

| 

187O. 

Var.inDiff.  for 
10  y.       10  d. 

187O. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

s              " 

1873. 

i        8                   " 

0 

+0.158+2.2C 

—  0.4911+1.14 

100 

+0.077 

2.9H 

0.4241+0.41 

8 

n 

200 

—0.004 

3.67 

0.353—0.33 

0,Jan.    0 

—  0.16 

—1.041 

—  2 

+330 

—11.71 

+  2 

—285 

300 

0.085 

4.34 

0.279     1.07 

10 

+  9.82 

0.697 

2 

357 

14.37 

2 

246 

400 

0.166 

4.9? 

0.204]     1.79 

20 

19.79 

-0.331 

3 

373 

16.60 

2 

199 

30 

2976 

+0.046 

3 

378 

18.32 

1 

146 

1866. 

1874. 

Feb.   9 

8.73 

0.421 

3 

371 

19.49 

1 

86 

0 

—0.139 

+4.76 

—0.2291—1.55 

19 
Mar.  1 
11 
21 

18.71 

0.68 
10.65 
20.62 

0.784 
1.124 
1.436 
1.715 

3 
3 
3 
3 

353 

327 
296 
259 

20.04 
20.00 
19.38 
18.22 

+  1 
0 
0 
—  1 

—  25 

+  34 
90 
140 

100 
200 
300 
400 

0.219 
0.297 
0.373 
0.445 

5.36 
5.91 
6.41 
6.8? 

:     OJ53 

—  0.075 
+0.003 
0.082 

226 
2.95 
362 
4.26 

31 

30.60 

1.953 

3 

217 

16.59 

1 

183 

1867. 

1875. 

100,  Apr.  10 

20 

9.57 
19.54 

2.148 
2.300 

2 
2 

174 

130 

14.57 
12.26 

I 
1 

218 
243 

0 
100 

-0.421 
0.491 

+6.7* 
?.]'* 

+0.055—4.05 
0.133     4.66 

30 
May  10 

29.52 
9.49 

2.408 
2.473 

0 

86 
44 

9.74 
7.10 

1 
2 

259 
264 

200 
300 

0.556 
0.617 

7.4? 

7.74 

0.209     5.23 
0.284     5.77 

20 

19.46 

2.496 

0 

+    3 

4.48 

1 

260 

400 

0.672 

7.96 

0.356|    6,25 

30 

29.43 

2.479 

0 

—  36 

-  1.92 

1 

249 

1868  B. 

1876  B. 

June  9 

8.41 

2.424 

+  1 

73 

+  0.48 

1 

229 

19 

18.38 

2.333 

108 

2.64 

1 

202 

0 

—0.654+7.89 

+0.332 

—6.09 

29 

28.35 

2.208 

2 

140 

4.50 

—  1 

170 

100 

0.705 

8.06 

0.403 

6.54 

July  9 

8.32 

2.055 

2 

167 

6.02 

0 

134 

200 

0.750 

8.15 

1    0.470 

6.93 

300 

0.788 

8.1? 

0.533 

7.27 

200,          19 

18.30 

1.875 

2 

IPO 

7.17 

0 

94 

400 

0.820 

8.1* 

0.592 

7.55 

29 

28.27 

1.677 

2 

207 

7.90 

0 

52 

Aug.  8 

7.24 

1.462 

2 

220 

8.20 

+  I 

+    9 

1869. 

1877. 

18 

28 

17.21 

27.19 

1.238 
1.014 

3 
3 

225 

222 

8.07 
7.51 

1 

2 

—  35 
79 

10( 

—0.810 

+8.15 
8.05 

+0.572 
0.628 

—7.47 
7.70 

Sept.  7 
17 

27 

6.16 
16.13 
26.11 

0.797 
0.596 
0.418 

3 
3 
2 

210 
191 
162 

6.50 
5.07 
3.23 

2 
2 
3 

122 

164 

203 

200 
300 
400 

0.856 
0.868 
0,872 

7.89 
7.65 
7.35 

0.679 
0.724 
0.763 

7.88 
7.99 
8.03 

Oct.    7 

6.08 

0.274 

2 

123 

+  1.02 

3 

241 

1S7O. 

1878. 

17 

16.05 

0.174 

1 

77 

-  1.57 

4 

274 

0 

—0.871 

+7.46 

+0.750 

—8.02 

300,          27 

26.02 

0.122 

1 

—  25 

4.44 

4 

301 

100 

0.871 

7.12 

0.786 

8.02 

Nov.  6 

5.00 

0.126 

+  1 

+  34 

7.57 

4 

323 

200 

0.863 

6.7* 

|    0.815 

7.96 

16 

14.97 

0.190 

0 

93 

10.88 

5 

338 

300 

0.847 

6.26 

1    0.837 

7.82 

26 

24.94 

0.313 

0 

153 

14.30 

5 

344 

400 

0.824 

5.75 

0.852 

7.63 

Dec.   6 

4.91 

0.496 

—  1 

211 

17.73 

5 

342 

1871. 

1879. 

16 
26 
36 

14.89 

24.86 
34.83 

0.734 
1.019 
+1.345 

1 
1 
—  2 

263 
307 
+341 

21.10 
24.27 
—27.15 

5 
5 
+  5 

329 
304 
-271 

0 
100 
200 
Qnn 

-0.833 
0.805 
0.771 
0  7SO 

+5.93 
5.39 
4.80 
417 

+O.S48 
0.858 
0.861 
0  RnP 

—7.70 
7.46 
7.16 

fi  7Q 

ouu 
400 

U«  9  O\J 

0.684 

.  J.  / 
3.51 

u.  ooc 
0.847 

O.  /if 

6.37 

1873  B. 

188O  B. 

*  6  ©,                 Nov.  8.8. 

He  6  Mean  Sun,    Nov.  4.7. 

0 

—0.700 

+3.74 

+0.851 

-6.52 

100 

0.650 

3.06 

0.835 

6.06 

200 

0.594 

2.35 

0.813 

5..r;5 

300 

0.533 

1.63 

0.783 

4.99 

400 

—0.468+0.90 

+0.747  —4.39 

SPECIAL  TABLES. 


175 


TABLE  XXIV.-3  libra?. 

h    m                                                      o      /                   - 

R.  A.  15  10.0.                       Dec.  —    8  54. 

Upper  transit  ut  fictitious  meridian. 

A0« 

' 

AQ<J 

Side-     A 
real      AQo 

A    d 

AQ<J 

Day. 

Sidereal  Day. 

Mean  Day. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in  Diff.  for 
10  y.       10  d. 

1865. 

8                      " 

1873. 

B                     " 

0 

+0.716 

+2.72 

—0993 

+0.72 

100 

0.635 

3.44 

0.944 

—0.03 

a 

// 

200 

0.547 

4.  US 

0.887 

().7rt 

0,  Jan.   0 

—  0.15 

-0.826 

—  3 

+298 

+  1.37 

+   1 

-164 

300 

0.454 

4.7b 

0.823 

1.53 

10 

+  9.82 

0.519 

3 

316 

-  0.29 

1 

168 

400 

0.357 

5.39 

0.753 

2.25 

20 

'  19.80 

-0.198 

3 

324 

1.97 

2 

165 

30 

29.77 

+0.126 

3 

323 

3.58 

2 

157 

186U. 

1874. 

Feb.    9 

8.74 

0.416 

3 

316 

5.09 

2 

144 

0 

+0.390+5  19 

—  0.777 

-2.00 

19 
Mar.   1 
11 
21 

18.72 

0.69 
10.66 
20.63 

0.756 
1.050 
1.321 

1.568 

3 
3 
2 
2 

303 
283 
259 
235 

6.45 
7.62 
8.58 
9.31 

2 
2 
2 
2 

127 

107 
85 
62 

100 
200 
300 
400 

0.290     5.78 
0.188     r>.::  l 
+0.084     6.78 
—0.021;    7.20 

0.703 
0.62* 
0.537 
0.447 

2.72 
3.41 

4.07 
4.69 

31 

30.61 

1.790 

1 

208 

9.81 

2 

40 

1867. 

1875. 

100,  Apr.  10 
20 

9.58 

19.55 

1.983 
2.150 

—  1 

0 

180 
153 

10.11 
10.21 

2 
2 

20 
—     1 

0 
100 

+0.015 

—  0.09U 

+7.07 
7.45 

—0.478—4.49 
0.386!    5.09 

30 

29.52 

2.288 

0 

124 

10.13 

2 

+  15 

200 

0.194 

7.76 

0.291 

5.65 

May  10 

9.50 

2.398 

+  I 

95 

9.92 

2 

27 

300 

0.296 

8.00 

0.193 

6.16 

20 

19.47 

2.478 

1 

67 

9.60 

2 

37 

400 

0.395 

8.18 

0.094 

6.62 

30 

29.44 

2.531 

2 

38 

9.20 

2 

43 

1868  B. 

1876  B. 

June  9 
19 

29 

8.41 
18.39 
28.36 

2.553 
2.547 
2.511 

2 

2 
3 

+    8 
—  21 
49 

8.75 
8.26 
7.76 

2 
1 
1 

47 
49 
50 

0 

100 

-0.362 
0.459 

+8.13 
825 

—0.128 
-0.029 

—6.47 

6.89 

July   9 

8.33 

2.450 

3 

75 

7.26 

1 

51 

200 
300 

0.552 

0.640 

8.31 
8.29 

+0.07* 
0.171 

7.26 

7.57 

200,           19 

18.31 

2.362 

3 

161 

6.75 

1 

50 

400 

0.722 

8.20 

0.269 

7.81 

29 
Aug.  8 

28.28 
7.25 

2.250 
2.123 

4 

4 

120 
135 

6.26 
5.80 

1 

1 

48 
45 

1869. 

1877. 

18 
28 

17.22 

27.20 

1.981 
1.834 

4 
4 

145 
147 

5.37 
5.00 

1 

0 

40 
36 

0 
100 

—0.695+8.24 
0.773     8.10 

+0.236 
0.333 

—7.74 
7.94 

Sept.  7 

6.17 

1.689 

4 

142 

4.66 

1 

29 

200 
300 

0.844     7.69 
0.907     7.G- 

0.427 
0.51b 

t<.C8 
8.15 

17 

27 

16.14 
26.11 

1.553 
1.436 

3 
3 

104 

4.42 
4.30 

1 

18      400 

0.963     7.-J7 

0.604 

8.16 

Oct.    7 

6.  (9 

1.347 

2 

73 

4.29 

] 

-    8 

1870. 

1878. 

17 

16.06 

1.292 

2 

—  34 

4.46 

2 

25 

0 

—0.945+7.39 

+0.576—8.16 

300,          27 

26.03 

1.281 

2 

+  11 

4.80 

2 

44 

100 

0.995J    7.01 

0.659J     8.12 

Nov.  6 

5.01 

1.315 

+  1 

59 

5.35 

2 

65 

200 

.0^6     6.57 

0.736     8.01 

16 

14.98 

1.400 

0 

111 

6.10 

2 

87 

300 

.069     6.07 

0.810J    7.84  1 

26 

24.95 

1.537 

0 

160 

7.07 

3 

109 

400 

.092 

5.52 

0.87f>i    7.60 

Dec.   6 

4.92 

1.7^0 

0 

206 

8.27 

4 

129 

1871. 

1879. 

16 
26 
36 

14.90 
24.87 
34.84 

1.948 
2212 

+2.507 

—  1 
1 

—  2 

247 
281 

+305 

9.64 
11.16 
—  12.79 

4 
4 

+  5 

145 

158 
—166 

0 
100 
200 

—  .085 
.10-2 
.109 

+5.71 
5.13 
4.51 

+0.8r*1  —  7.69 
0.915     7.40 
0.969;    7.06  ! 

300 

.107 

3.85 

1.014 

6.65 

400 

.096 

3.16 

1.052J    6.19 

187J8  B. 

18SOB. 

•*  6  ©,                 Nov.  12  0. 

^f.  d  Mean  Sun,    Nov.    8.0. 

0 

—  .100 

+3.40 

+1.0401—6.35  [ 

100 
200 

.083 
.056 

2.69 
1.97 

1.072 
1.094 

5.86 
531  i 

300 

.021|     1.23 

1.108 

4.71 

400 

—0.978+0.48  +1.111:—  4.08  | 

li 

176 


SPECIAL  TABLES. 


TABLE  XXIV.—  ^  Bootis. 

h    m                                                     °      ' 

R.A.  15  19.6.                       Dec.  +  37  50. 

Upper  transit  at  fictitious  meridian. 

AQa 

AQd       • 

Side 
real 

A    a 

A^d 

A    a 

A    6 

Day 

0 

0 

0 

Sidereal  Day. 

Mean  Day 

187O. 

Var.  in 
10  y. 

Diff.  foi 
10  d. 

1870. 

Var.  in 
10  y. 

Diff  fo 
10  d. 

1865. 

s               " 

1873. 

8                    " 

0 

+0.221+3.06 

—0.531 

+0.42 

100 

0  144 

3.?7 

0.469 

—0.35 

8 

// 

200 

+0.065 

4.4f 

0.403 

1.10 

0,  Jan.   0 

—  0.14 

—1.125 

—  1 

+303 

—10.26 

+  2 

—292 

300 

—0.014 

5.10 

0.334 

1.85 

10   +  9.83 

0.806 

2 

333 

13.03 

2 

259 

400 

0.093 

5.70 

.   0.263 

2.57 

20 

19.80 

0.463 

2 

352 

15.42 

2 

216 

30 

29.78 

—0.106 

3 

361 

17.33 

1 

165 

1866. 

1874. 

Feb.  9 

8.75 

+0.255 

3 

359 

18.70 

1 

109 

0 

—0.066+5.50 

—0.287—2.33 

19 
Mar.  1 
11 
21 

18.72 
0.69 
10.67 
20.64 

0.609 
0.948 
1.262 
1.517 

3 
2 
3 
3 

348 
328 
300 
269 

19.50 
19.72 
19.33 
18.42 

1 

0 
0 

—  51 
+    9 
66 
116 

100 
200 
300 
400 

0.145 
0.222 

0.298 
0.371 

6.0? 
6.59 
7.05 
7.44 

0.214 

0.140 
—0.065 
+0.011 

3.04 
3.73 
4.38 
5.00 

31 

30.61 

1.799 

2 

233 

17.02 

—  I 

163 

1867. 

1875. 

100,  Apr  10 

9.59 

2.012 

2 

194 

15.18 

1 

201 

0 

—0.347 

+7.32 

—0.014—4.80 

20 

19.56 

2.187 

1 

155 

13.02 

1 

230 

100 

0.41? 

7.6? 

+0.062     5.39 

30 

29.53 

2.322 

1 

115 

10.60 

1 

250 

200 

0.485 

7.90 

0.137     5.93 

May  10 

9.50 

2.416 

—  1 

73 

8.04 

1 

260 

300 

0.548 

8.18 

0.2111    €.43 

20 

19.48 

2.468 

0 

+  33 

5.43 

2 

261 

400 

0.606 

8.32 

0.283     6.87  • 

30 

29.45 

2.482 

0 

—    6 

2.85 

2 

253 

1868  B. 

1876  B. 

June  9 

8.42 

2.456 

0 

45 

—  0.40 

1 

237 

19 
29 

18.39 
28.37 

2.393 

2.297 

+  1 

2 

80 
112 

+  1.87 
3.87 

1 
1 

214 
186 

C 
100 

—0.589 
0.641 

+8.28 
8.38 

+0.259 
0.330 

—6.73 
7.13 

July  9 

8.34 

2.169 

2 

144 

5.58 

1 

154 

20( 
300 

0.690 
0.733 

8.40 
8.35 

0.398 
0.46:5 

7.48 
7.76 

200,          19 

18.31 

•J.010 

2 

171 

6.93 

—  1 

117 

400 

0.768 

8.2o 

0.524 

7.99 

29 

28.29 

1.829 

2 

193 

7.92 

0 

77 

Aug.  8 

7.26 

1.626 

3 

210 

8.48 

0 

+  36 

1869. 

1877. 

18 
28 

17.23 

27.20 

1.412 
1.192 

3 
3 

218 
220 

8.63 
8.35 

0 

+  1 

—    6 
50 

0 
100 

—0.757+8.26 
0.789     8.1J 

+0.501} 
0.562 

—7.92 

8.10 

Sept   7 
17 

27 

6.18 
16.15 
26.12 

0.974 
0.767 

0.5HO 

3 
2 
2 

214 
198 
173 

7.63 

6.50 
4.94 

2 
2 
3 

93 
135 
175 

200 
300 

400 

0.814 
0.83* 
0.842 

7.87 
7.5? 
7  19 

0.615 
0.664 
0.707 

8.21 
8.25 
8.23 

Oct.    7 

6.C9 

0.423 

2 

139 

3.00 

3 

213 

1870. 

1878. 

17 

16.07 

0.304 

2 

97 

+  0.68 

4 

249 

0 

—  0.840'+7.3C 

-j_0.693l—  8.24 

300,          27 

26.04 

0.231 

1 

—  47 

—  1.96 

4 

279 

100 

0.846 

6.91 

0.73H 

8.17 

Nov.  6 

5.01 

0.211 

1 

+     9 

4.88 

4 

304 

200 

0.844 

6.44 

0.76? 

8.04 

16 

14.98 

0.249 

+  1 

66 

8.02 

4 

323 

300 

0.8:35 

5.9* 

0.794 

7.83 

26 

24.96 

0.34-2 

0 

123 

11.31 

4 

334 

400 

0.819 

5.3^ 

o.sir, 

7.58 

Dec.  6 

4.93 

0.495 

0 

181 

14.68 

5 

336 

1871. 

1870. 

16 
26 
36 

14.90 
24.88 
34.85 

0.704 
0.961 
+1.259 

0 

—  1 
—  1 

234 
279 
+315 

18.00 
21.21 
—24.17 

5 
5 
+  4 

328 
310 
—281 

0 
100 
200 

—0.825+5.54 
0.805;     4.94 
0.777     4.29 

+0.808 
0.82f. 
0.83C 

—7.66 
7.35 
6.97 

300 

0.744 

3.61 

0.8:}? 

6.54  ' 

400 

0.703| 

2.90 

6.05  ' 

i 

1872 

B. 

188O  B. 

*  6  ©,                 Nov.  14.3. 

j 

>jc  (3  Mean  Sun,     Nov.  10.4. 

0 

—0.718+3.15 

+0.835'—  6.22  ,' 

100 

0.674 

2.4:2 

0.826 

5.70 

200 

0.624| 

1.6H 

0.810 

5.12 

300 

0.569! 

0.9* 

0.787 

4.50 

400 

—0.510+0.16 

+0.757  —3.84 

1  

j 

SPECIAL  TABLES. 


177 


TABLE  XXIV.-*  f  llrsae  Minoris. 

h    m                                                       o       / 

R.A.  15  21.0.                       Dec.  +  72  18. 

Upper  transit  at  fictitious  meridian. 

A    a 

A.* 

' 

Side- 
real 

A^a 

Aa<J 

Aaa 

AQ<* 

' 

Day. 

1   ^'fterpil  T^«\v 

il63D.  DflV 

1 

1870. 

Var.in 
10  y. 

Diff.  foi 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                     " 

1873. 

8                     " 

1 

0 

—  .029 

+3.11 

+0.637 

+0.38 

100 

.090 

3.82 

0.729 

—0.38 

8 

// 

200 

.141 

4.50 

0.816 

1.14 

0,  Jan.  0 

—  0.13 

-3.017 

+  6 

+568 

—14.75 

0 

—297 

300 

.183 

5.15 

0.895 

1.88 

10 

+  9.84 

2.402 

5 

659 

17.48 

0 

249 

400 

.214 

5.75 

0.967 

2.61 

20 

19.81 

1.706 

4 

727 

19.69 

0 

192 

30 

29.78 

0.956 

3 

770 

21.29 

0 

128 

1866. 

1874. 

Feb.   9 

8.75 

—0.176 

+  1 

784 

22.24 

0 

—  61 

0 

—  .2051+5.55 

+0.943 

-2.37 

19 
Mar.   1 
11 
21 

18.72 
0.70 
10.67 
20.64 

+0.604 
1.359 
2.063 
2.695 

0 
—  1 
2 

3 

772 
733 
671 

589 

22.51 
22.09 
2«.03 
19.37 

0000 

+    8 
74 
137 
193 

100 
200 
300 
400 

.229 
.243 
.245 
.237 

6.12 

6.63 
7.09 

7.48 

1.010 
1.068 
1.117 
1.J57 

3.08 
3.77 
4.42 
5.04 

31 

30.62 

3.235 

4 

490 

17.20 

0 

240 

1867. 

1875. 

'  100,  Apr.  10 

9.59 

3671 

5 

379 

14.60 

0 

278 

0 

—1.241 

+7.35 

+1.145i—4.83 

20 

19.56 

3.991 

6 

261 

11.68 

0 

304 

100 

1.226 

7.70 

1.178 

5.42 

30 

29.53 

4.191 

6 

138 

8.57 

0 

318 

200 

1.200 

7.99 

1.202 

5.97 

May  10 

9.51 

4.268 

6 

+  16 

5.36 

0 

321 

300 

1.164 

8.20 

1.216 

6.46 

20 

19.48 

4.223 

6 

—  104 

—  2.18 

0 

313 

400 

1.1171    8.34 

1.219 

6.90 

30 

29.45 

4.062 

5 

218 

+  0.87 

0 

295 

1868  B. 

1876  B. 

June  9 
19 

8.42 
18.40 

3.791 
3.420 

5 
4 

323 
418 

3.70 
6.22 

0 

o 

269 
234 

0 

—1.134 

+8.30 

+1.219—6.76 

29 

28.37 

2.959 

3 

502 

8.36 

o 

194 

100 

1.081 

8.40 

1.216 

7.16 

July    9 

8.34 

2.421 

—  2 

572 

10.08 

0 

149 

200 
300 

1.019 
0.948 

8.42 
8.36 

1.204 
1.181 

7.50 
7.79 

200,          19 

18.32 

1.819 

0 

629 

11.32 

0 

100 

400 

0.869 

8.24 

1.149 

8.01 

29 

28.29 

1.168   +  1 

670 

12.06 

0 

+  48 

Aug.  8 

7.26 

+0.483 

3 

697 

12.28 

0 

—    4 

1869. 

1877. 

18 

17.23 
27.21 

—0.220 
0.923 

4 

6 

706 
698 

11.98 
11.14 

0 
0 

57 
109 

0 
100 

—0.8961+8.29 
0.812     8.11 

+1.161 
1.122 

—7.94 
8.11 

Sept.  7 

6.18 

1.610 

7 

673 

9.80 

0 

159 

200 
300 

0.721      7.87 
0.624     7.56 

1.074 
1.017 

8.22 
8.26 

17 

16.15 

2.263 

9 

629 

7.97 

0 

207 

400 

0.522!    7.18 

0.951 

8.24 

27 

26.12 

2.863 

1Q 

567 

5.68 

0 

251 

Oct.    7 

6.10 

3.391 

12 

488 

+  2.98 

0 

291 

1870. 

1878. 

17 

1607 

3.832 

13 

392 

—  0.11 

o 

324 

0 

—0.557  +7.32 

+0.974  -8.25 

300,          27 

26.04 

4.170 

14 

280 

3.50 

0 

352 

100 

0.452 

6.90 

0.903 

8.18 

Nov.  6 

5.02 

4.389 

14 

157 

7.13 

0 

372 

200 

0.343     6.43 

0.82:) 

8.04 

16 

14.99 

4.480 

15 

—  25 

10.91 

0 

383 

300 

0.232     5.90 

0.739 

7.83 

m 

24.96 

4.437 

15 

+  113 

14.76 

0 

384 

400 

0.1191     5.32 

0.647 

7.56 

Dec.  6 

4.93 

4.255 

15 

250 

18.56 

0 

375 

1871. 

1879. 

16 
26 
36 

14.91 

24.88 
34.85 

3.940 
3.498 
—2.944 

15 
14 

+13 

381 

501 

+604 

22.21 
25.61 
—28.63 

0 
0 
0 

354 
323 

—280 

100 
200 

—0158 
—0.044 
+0.070 

+5.52 
4.91 
4.26 

+0.679 
0.583 

0.483 

-7.66 
7.34 
6.9o 

300 

0.182 

3.58 

0.378 

6.53 

400 

0.293 

2.87 

0.269 

6.04 

1872  B. 

188O  B. 

#  8  Mean  Sun,     May  12.2. 

*  6  0,                 Nov.  14.7. 
*  6  Mean  Sun,     Nov.  10.8. 

0+0.256+3.11 
100J    0.365     2.38 
200;    0.471|     1.64 

+0.308—6.21 
0.196     5.68 
+0.084     5.10 

300     0.572     0.8«!—  0.029: 

448 

400  +0.669  +0.12'—  0.  143; 

—3.82 

12 


178 


SPECIAL  TABLES. 


TABLE  XXIV.-e  Serpentis. 

h    m                                                       °      ' 

R.A.  15  44.3.                       Dec.  +    4  52. 

Upper  transit  at  fictitious  meridian. 

A0a 

V 

Side- 
real 
Day. 

*n« 

W 

Sidereal  Day. 

Mean  Day. 

1870. 

Var.  in 
10  y. 

Diff.  for 
]0d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                    " 

1873." 

8                         " 

0 

+0.591  +3.90 

—0.874 

—0.39 

100 

0.509 

4.6U 

0  8-21 

1.17 

8 

// 

200 

0.424 

5.26 

0.76^ 

1.94 

0,Jan.    0 

-  0.12 

—0.975 

—  2 

+265 

—  2.22 

+   1 

—208 

300 

0.3H4 

5.8? 

0.69? 

2.68 

10 

+  9.85 

0.693 

3 

289 

4.27 

1 

201 

400 

0.242 

6.44 

0.62? 

3.41 

20 

19.82 

0.399 

3 

305 

6.21 

185 

30 

29.79 

—0.090 

3 

311 

7.96 

164 

1866. 

1874. 

Feb.    9 

8.77 

+0.221 

3 

311 

9.48 

138 

0 

+0.273  +6.25 

—0.651 

—3.17 

19 
Mar.    1 
11 
21 

18.74 
0.71 
10.68 
20.66 

0.529 
0.826 
1.107 
1.370 

3 

2 
2 
2 

304 

290 
273 
251 

10.70 
11.59 
12.14 
12.33 

2 
2 

106 
72 
37 
—    2 

100 

200 
300 
400 

0.179 
+0.084 
—0.013 
0.109 

6.78 

7.25 
7.66 
8.00 

0.57? 
0.499 
0.416 
0.330 

3.87 
4.54 
5.18 
5.77 

31 

30.63 

1.608 

2 

227 

12.19 

1 

+  29 

1867. 

1875. 

100,  Apr.  10 

9.60 

1.824 

1 

202 

11.76 

1 

57 

0 

—0.07? 

+7.89 

—0.3591—5.57 

20 

19.58 

2.013 

I 

•175 

11.06 

1 

79 

100 

0.172 

8.19 

0.2?2 

6.13 

30 

29.55 

2.173 

—  1 

148 

10.16 

1 

99 

200 

0.26? 

8.41 

0.182 

6.64 

May  10 

9.52 

2.308 

0 

120 

9.06 

1 

115 

300 

0.359 

8.56 

0.091 

7.09 

20 

19.49 

2.413 

0 

90 

7.87 

1 

123 

400 

0.447 

8.63 

+O.OOJ      7.48 

30 

29.47 

2.487 

4-  i 

59 

6.62 

1 

.  126 

1868  B. 

1876  B. 

June  9 
19 

8.44 
18.41 

2.531 
2.544 

i 

2 

+  28 
—    3 

5.37 
4.14 

1 
1 

125 

120 

0 

—0.418+8.62 

—0.030 

-7.36 

29 

28.38 

2.526 

2 

34 

299 

1 

111 

100 

0.504 

8.64 

+0.062 

7.71 

July   9 

8.36 

2.477 

3 

64 

1.92 

0 

99 

200 
300 

0.5H5 
0.661 

8.59 
8.46 

0.154 
0.244 

8.00 
8.22 

200,          19 

18.33 

2.399 

3 

91 

1.00 

0 

86 

400 

0.731 

8.26 

0.333 

8.38 

29 

28.30 

2.296 

3 

115 

—  0.21 

1 

71 

Aug.  8 

7.27 

2.170 

3 

136 

+  0.42 

55 

1869. 

1877. 

18 
28 

17.25 
27.22 

2.025 

1.872 

3 
3 

150 
157 

0.89 
1.17 

1 
2 

38 
+  18 

0 
100 

—0.709 
0.775 

+8.34 
8.09 

+0.303 
0.390 

—8.33 

8.44 

200 

0.834 

7.7? 

0.473 

8.48 

Sept.^7 

6.19 
16.17 

1.713 
1.559 

3 

2 

158 
148 

1.25 
1.13 

2 
2 

—    2 
23 

300 
400 

0.886 

7.39 
6.94 

0.553 
0.6*9 

8.45 
8.35 

27 

26.14 

1.419 

2 

130 

0.79 

2 

45, 

Oct.    7 

6.11 

1.301 

2 

104 

+  0.22 

3 

68 

1870. 

1878. 

17 

16.08 

1.213 

2 

70 

—  0.58 

3 

91 

0 

—0.9161+7.  1C 

+0.604 

-8.40 

300,          27 

26.06 

1.164 

1 

—  28 

1.61 

3 

114 

100 

0.954 

6.61 

0.676 

'    8.25 

Nov.   6 

5.03 

1.159 

+  ! 

2.87 

3 

138 

200 

0.985 

6.0? 

0.743 

8.04 

16 

15.00 

1.200 

0 

67 

4.37 

3 

161 

300 

1.006 

5.4? 

0.803 

7.75 

26 

24.97 

1.294 

0 

118 

6.08 

4 

181 

400 

1.020 

4.83 

0.858 

7.41 

Dec.    6 

4.95 

1.436 

0 

165 

7.97 

4 

195 

1871. 

1879. 

16 

26 
36 

14.92 
24.89 
34.87 

1.623 
1.852 
+2.113 

—  1 
1 

J 

209 
246 
+274 

9.96 
12.04 
—14.11 

4 
5 
+  5 

204 
209 
—205 

0 
100 
200 
300 

—1.016 
1.023 
1.022 
1.012 

+5.06 
4.39 
3.69 
2.96 

+0.8401—7.53 
0.890     7.14 
0.93-;     6.69 
0.96?     6.19 

4UO 

0.993 

2.20 

0.9931     5.63 

* 

1872  B. 

1880  B. 

*  6  0,                  Nov.  20.3. 
>f<  6  Mean  Sun,     Nov.  16.7. 

0 
100 

—  1.001  ;+2.46 
0.976     1.70 

+0.985;—  5.82 
1.C06!     5.23 

200 

0.944      0.92      1.U19 

4.59 

1 

300 

0.904+0.141      J.023 

3.91 

400 

-0.857—0.65  +1  .019  —3.20 

SPECIAL  TABLES. 


179 


TABLE  XXIV.—*  'C  Irsje  Minoris. 

h    m                                                     o      J 

R.A.  15  48.8.                       Dec.  +  78  12. 

Upper  transit  at  fictitious  meridian. 

A0a 

A0« 

Side- 
real 

AC2a 

A    d 

Afia 

AQ'< 

Day. 

i     Qi/lfiriiol    T^ov 

Alt  au  Day 

1   Dturrecu  uvy. 

187O. 

Var.  in 
10y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10y. 

Diff.  for 
10  d. 

1865. 

1873. 

8                      " 

0 

—  L767 

+4.06 

+  1.452 

-0.58 

100 

1.789 

4.75 

1.536 

1.30 

I 

// 

200 

1.795 

5.41 

1608 

2.07 

0,Jan.    0 

—  0.12 

^-5.059 

+20 

+677 

—13.26 

—  2 

—311 

300 

1.786 

6.02 

1.666 

2.81 

10 

+  9.85 

4.301 

20 

834 

16.16 

2 

267 

400 

1.762|    6.57 

1.711 

3.54 

20 

19.83 

3.401 

19 

961 

18.58 

2 

215 

30 

29.80 

2.391 

17 

1053 

20.42 

2 

154 

1866. 

1874. 

Feb.    9 

8.77 

1.308 

15 

11  05 

21.64 

1 

89 

0 

—1.772 

+6.39 

+1.697 

—3.30 

19 
Mar.    1 
11 
21 

18.74 

0.72 
10.69 
20.66 

—0.191 

L969 
2.942 

13 

10 
8 
4 

1117 

1088 
1021 
920 

22.20 
22.07 
21.28 
19.88 

r-l  O  O  i-i 
1  + 

—  21 
+  46 
111 
169 

100 
200 
300 
4% 

1.737 

1.687 
1.622 
1.543 

6.91 
7.37 
7.7? 

8.10 

1.732 
1.753 
1.759 
1.750 

4.00 
4.67 
5.30 

5.88 

31 

30.64 

3.798 

+  1 

789 

17.93 

1 

220 

1867. 

1875. 

'  ICO,  Apr.  10 
20 

9.61 
19.58 

4.512 
5.063 

—  1 
4 

635 
4C5 

15.51 
12.73 

2 
2 

262 
293 

0 
100 

—1.571 
1.484 

+7.99 
8.27 

+1.  755  —5.69 
1.737     6.24 

30 

29.55 

5.438 

6 

284 

9.69 

2 

313 

201 

1.383 

8.48 

1.7C5 

6.74 

May  10 

9.53 

5.6-29 

8 

+  97 

6.51 

2 

321 

300 

1.270 

8.6-> 

7.18 

20 

19.50 

5.633 

9 

—  88 

3.30 

2 

319 

400 

1.147 

8.68 

L599J    7.57 

30 

29.47 

5.456 

11 

266 

—  0.17 

2 

307 

1868  B. 

1876  B. 

June  9 

8.44 

5.104 

11 

436 

+  2.80 

2 

285 

19 

18.42 

4.589 

11 

591 

5.50 

2 

255 

0 

—1.190 

+8.67 

+1.621—7.45  j 

29 

28.39 

3.927 

10 

730 

7.87 

1 

218 

100 

1.060 

8.68 

1.552     7.79 

July   9 

8.36 

3.134 

9 

851 

9.84 

+  1 

176 

200 
300 

0.920 
0.773 

8.61 
8.47 

1.471      8.07 
1.378^    8.28 

200,          19 

18.34 

2.232 

7 

950 

11.38 

0 

130 

400 

0.620 

8.26 

1.273 

8.43 

29 

28.31 

1.241 

5 

1028 

12,43 

0 

80 

Aug.  8 

7.28 

+0.184 

—  2 

1082 

12.97 

—  •     1 

+  29 

1869. 

1877. 

18 
28 

17.25 
27.23 

—0.915 
2.030 

4 

1111 
1115 

13.00 
12.51 

1 
2 

—  23 

75 

0 

100 

—0.673 
0.516 

+8.34 
8.07 

+1.309 
1.197 

—8.39 

8.48 

Sept.  7 
17 
27 

6.20 
16.17 
26.14 

3.136 
4.207 
5.215 

8 
12 
16 

1093 
1044 

968 

11.50 

10.00 

8.02 

3 
3 
3 

126 
175 
221 

200 
300 
400 

0.355 
0.191 
0027 

7.74 
7.35 
6.89 

1.075 
0.944 
0.8C6 

8.51 

8.48 
8.36 

Oct.    7 

612 

6.135 

20 

866 

5.60 

4 

263 

187O. 

1878. 

17 

16.09 

6.939 

23 

739 

+  2.78 

4 

300 

t 

0 

—0.082 

+7.05 

+0.853 

—8.41 

'  300,          27 

26.06 

7.604 

27 

588 

—  0.38 

5 

331 

100 

+0.082 

6.55 

0.711 

8.25 

Nov.   6 

5.04 

8.107 

30 

416 

3.82 

5 

355 

200 

0.246 

5.99 

0.560 

8.03 

16 

15.01 

8.430 

33 

228 

7.46 

5 

371 

300 

0.407 

5.39 

0.405 

7.73 

26 

24.98 

8.559 

36 

—  28 

11.22 

5 

378 

400 

0.565 

4.74 

0.246 

7.38 

Dec.   6 

4.95 

8.486 

38 

+  176 

14.98 

5 

374 

1871. 

1879. 

16 
26 
36 

14.92 
24.90 
34.87 

8.209 
7.736 

-7.080 

39 
40 
+40 

377 
+740 

18.65 
22.12 
-25.27 

5 
5 

359 
333 
—296 

C 

100 
200 

+0.512 
0.666 
0.814 

+4.96 
4.29 

+0.30C 
+0.140 
-  0.022 

—7.51 
7.11 

6.65 

I 

300 

0.954 

2.84 

0.184 

6.13 

400 

1.086 

2.'  08 

0^345 

5^56 

#  «9  Mean  Sun,     May  19.2. 

187*  B. 

188OB. 

*  d  ©,                  Nov.  21.4. 

vO+1.043j+2.34  —  0.291 

—5.76 

^  d  Mean  Sun,     Nov.  17.8. 

100     1.169|     1-57 

0.451 

5.16 

200      1.284+0.79 

0.607 

4.51 

300      1.389     O.OOl 

0.758 

3.83 

400+1.482—0.78 

—0.904 

-3.11 

-                ...            .                ...... 

j                          j 

180 


SPECIAL  TABLES. 


TABLE  XXIV.—  s  Corona;  Borealis. 

b    m                                                       °      ' 

R.A.  15  52.2.                        Dec.  4-  27  15. 

Upper  transit  at  fictitious  meridian. 

A0a 

AQ(J 

Side- 
real 

AQa 

AQd 

A^a       AQc5 

VIx 

Day. 

1870. 

Var.  in 

10  y. 

Diff.  foi 
10  d. 

1870. 

Van  in 
10  y. 

Diff.  for 
10  d. 

1865. 

a              " 

1873. 

n              " 

0 

4-0.377 

4-4.16 

—0.661 

—0.64 

100 

0.302 

4.85 

0.606 

1.43 

s 

// 

200 

0.224 

5.50  !     0.547 

2.19 

0,Jan.    0 

—  0.12 

—  1.143 

—  1 

4-261 

-  7.01 

4-  2 

—282 

300 

0.144 

6.11 

0.483 

2.94 

10 

4-  9.85 

0.8(58 

2 

292 

9.73 

2 

259 

400 

0.063 

6.66 

0.415 

3.66 

20 

19.83 

0.563 

3 

313 

12.17 

2 

227 

30 

29.80 

—0.243 

3 

325 

14.25 

187 

1866. 

1874. 

Feb.    9 

8.77 

4-0.084 

3 

328 

15.88 

140 

0 

4-0.090 

4-6.48 

—0.438 

-3.42 

19 
Mar.   1 
11 
21 

18.74 
0.72 
10.69 
20.66 

0.410 
0.727 
1.031 
1.312 

3 
3 
3 
3 

323 
311 

293 
289 

17.03 
17.65 
17.74 
17.30 

0 

89 
—  35 

+  18 
68 

100 
200 
300 
400 

4-0.008 
—0.074 
0.155 
0.235 

7.00 
7.45 
7.84 
8.16 

0.368 
0.295 
0.220 
0.143 

4.12 

4.79 
5.41 
5.99 

31 

30.64 

1.569 

2 

244 

16.40 

0 

114 

1867. 

1875. 

1  100,  Apr.  10 
20 

9.61 

19.58 

1.799 
1.996 

2 
1 

214 

182 

15.06 
13.38 

0 
0 

152 
185 

0 
100 

—0.208 

0.287 

4-8.06 
8.33 

—0.170 
0.092 

-5.80 
6.35 

30 

29.55 

2.162 

-i 

149 

11.38 

0 

209 

200 

0.364 

7.53 

—0.014 

6.84 

May  10 

9.53 

2.295 

0 

115 

9.21 

0 

224 

300 

0.437 

8.66 

4-0.065 

7.28 

20 

19.50 

2.392 

0 

80 

6.92 

0 

231 

400 

0.506 

8.71 

0.143 

7.66 

30 

2947 

2.455 

0 

44 

4.61 

—  1 

232 

1868  B. 

1876  B. 

June  9 
19 

8.44 
18.42 

2.481 
2.472 

+  1 

+    8 
—  27 

2.31 

—  0.15 

1 
—  1 

224 

208 

0 

—0.483 

4-8.70 

4-0.117 

-7.54 

29 

28.39 

2.4'27 

2 

61 

4-  1.83 

0 

188 

100 

0.549 

8.70 

0.194 

7.87 

July  9 

8.36 

2.350 

2 

93 

3.59 

0 

163 

200 

0.610 

8.6-2 

0.269 

8.14 

300 

0.666 

8.47 

0.342 

8.34 

200,          19 

18.33 

2.242 

2 

124 

5.08 

0 

134 

400 

0.716 

8.25 

0.413 

8.48 

29 

2H.31 

2.104 

2 

151 

6.27 

0 

103 

Aug.  8 

7.28 

1.943 

2 

172 

7.14 

4-  1 

69 

1869. 

1877. 

28 

17.25 
27.23 

1.763 
1.572 

3 
3 

187 
195 

764 

7.78 

1 
1 

4-  32 
—    4 

0 
100 

-0.70014-8.33 
0.74B     8.06 

4-0.389 
0.458 

—8.44 

8.53 

Sept.  7 
17 

27 

6.20 
16.17 
26.14 

1.377 
1.185' 

1.007 

3 
3 
3 

195 
'    187 
169 

7.56 
6.95 
5.96 

2 
2 
3 

41 

80 
118 

200 
300 
400 

0.785     7.72 
0.817     7.31 
0.843|     6.84 

0.523 
0.583 
0.639 

8.55 
8.50 
8.37 

Oct.    7 

6.12 

0.851 

2 

141 

4.60 

3 

153 

1870. 

1878. 

17 

16.09 

0.728 

2 

106 

2.90 

4 

188 

{ 

0 

—0.835 

4-7.01 

4-0.621 

—8.42 

300,          27 

26.06 

0.642 

1 

64 

4-  0.85 

4 

221 

100 

0.8f>5 

6.50 

0.673 

8.25 

Nov.  6 

5.03 

0.603 

1 

—  14 

—  1.51 

4 

249 

200 

0.868 

5.93 

0.7-20 

8.02 

16 

15.01 

0.616 

+  1 

4-  39 

4.12 

4 

272 

300 

0.874 

5.32 

0.761 

7  71 

26 

24.98 

0.682 

0 

92 

6.94 

5 

289 

400 

0.872 

4.66 

0.796 

7.34 

Dec.   6 

4.95 

0.800 

0 

144 

9.88 

5 

299 

y.  w*'.f- 

1871. 

1879. 

16 
26 
36 

14.93 

24.90 
34.87 

0.970 
1.186 
4-1.442 

0 

—  1 

—  2 

194 
237 

4-273 

1288 
15.85 

—18.70 

5 
5 

4-  6 

301 
293 

—275 

•  01—  0.873l4-4.89!4-0.78o 
100     0.866     4.2  Ij     0.816 
200     0.852     3.49|i     0.840 

-7.47 

7.G6 
6.59 

300 

0.8.>0i    2.74'     0.857 

6.06 

400 

0.802!     1.98      0867 

5.48 

i 

1873  B.                1880  B. 

*  6  0,                 Nov.  22.1. 

i! 

*  6  Mean  Sun,     Nov.  18.7. 

0 

—  0.812!4-2.24j!4-0.864 

—5.68 

100     0.779     1.46J     0.869 

5.07 

200!     0.740  4-0.  67j     0.867 
300     0.694—0.12      0.857 

4.42 
3.72 

400  —0.643  —0.90  J4-0.840 

—3.00 

SPECIAL  TABLES. 


181 


TABLE  IXIV.-<5  Scorpii. 

h    m                                                    °      ' 

R.A.  15  52.6.                       Dec.  —  22  15. 

Upper  transit  at  fictitious  meridian. 

1 

1 

Side- 

AQ« 

A0* 

real 
Day. 

AQ« 

AQ<5 

"^ 

Sidereal  Day. 

anDay. 

Var.  in 

Diff.  for 

•  fi*n      Var.  in  DiflF.  for 

1865. 

187  a. 

187O. 

10  y. 

10  d. 

10  y. 

10  d. 

s             " 

s 

// 

0 
100 

+0.837+4.1? 
0.750     4.86 

—1.119—0.66 
1.069:     1.44 

8 

"          i 

200 

0.656     5.51 

1.011 

221 

0,Jan.    0 

—  0.12 

—1.073 

—  3 

+289 

+  4.12  !      0 

—  82 

30d 

0.556     6.12 

0.945 

2.96 

10   +  9.85 

0.771 

3 

3J5 

3.22         0 

97 

400 

0.4511    6.67 

O.S71 

3.68 

20 

19.83 

0.445 

3 

332 

2.19  +  1 

108 

30 

29.80 

-0.110 

4 

339 

+  1.08         1 

114 

1866. 

1874. 

Fob.    i) 

8.77 

+0.^30 

4 

339 

—  0.07 

1 

116 

0 

+0.487+6.41: 

—0  897—3.44 

19 

Mar.   1 
11 
21 

18.74 
0.72 
10.69 
20.66 

0.566 
0.892 
1.202 
1.495 

3 
3 
3 

2 

332 

319 
302 
281 

1.22 
2.34 
3.39 
4.34 

1 

2 
2 

3 

114 
109 
100 
90 

100 
200 
300 
400 

0379 
0.268 
0.154 
0.039 

7.01 
7.41 
7.85 
8.1? 

0.819 
0.734 
0.643 
0.547 

4.J4 

4.81  ; 
5.43 
6.01 

31 

30.64 

1.763 

2 

258 

5.18 

3 

79 

1867. 

1875. 

100,  Apr.  10 
20 

9.61 
19.58 

2.010 
2.230 

1 
—  1 

234 

207 

5.91 
6.54 

4 
4 

68 

58 

0 
100 

+0.078 
—0.037 

+8.0? 
8.34 

—0.580 
0.481 

-5.82  i 
6.36 

30 

29.55 

2.423 

0 

179 

7.08 

3 

49 

200 

0.152 

8.54 

0.878 

6.86  : 

May  10 

9.53 

2.588 

0 

149 

7.52 

3 

40 

300 

0.265 

8.66 

0.272 

7.29 

20 

19.50 

2.720 

+  1 

117 

7.88 

3 

33 

400 

0.376 

8.71 

0.164 

7.67 

30 

29.47 

2.821 

2 

85 

8.18 

3 

26 

1868  B. 

1876  B. 

June  9 
19 

8.44 
18.42 

2.890 
2.923 

*  2 
3 

51 
+  16 

8.40 

8.57 

3 
3 

20 
14 

0 

—0.339+8.71 

—  o.2or 

—7.55 

29 

28.39 

2.922 

3 

—  20 

8.67 

3 

6 

100 

0.448 

8.76 

—0.091 

7.88 

July  9 

8.36 

2.884 

4 

54 

8.73 

3 

—    1 

200 
300 

0.553 
0.652 

8.63 

8.4? 

+0.019 
0.1  2r 

8.15 
8.35 

200,          19 

18.34 

2.814 

4 

86 

8.70 

3 

+    6 

400 

0.746 

8.25 

0.23? 

8.48 

29 

28.31 

2.713 

5 

115 

8.61 

3 

14 

Aug.  8 

7.28 

2.5*5 

5 

140 

8.42 

3 

22 

1869. 

1877. 

18 
28 

17.25 
27.23 

2.436 
2.274 

4 
4 

157 
167 

8.16 

7.82 

2 
2 

30 
37 

0 
100 

—0.715 
0.805 

+8.33 
8.06 

+0.201'—  8.4.-. 
0.30-      >.:«4 

Sept.  7 
17 

27 

6.20 
16.17 
26.14 

2.106 
.942 
.792 

4 
4 

168 
159 
140 

7.42 
6.95 
6.45 

2 
2 
1 

44 
49 
51 

200 
300 
400 

0.887 
0.961 
1.027 

7.72 
7.31 
6.83 

0.414!     8.55 
0.510     8.50 
0.614|    8.37 

•       Oct.    7 

6.12 

.665 

3 

111 

5.95 

1 

49 

1870. 

187N. 

17 

16.09 

.572 

3 

73 

5.49 

1 

44 

300,          27 

26.06 

.521 

2 

—  27 

5.09 

1 

35 

0 
100 

—1.006+7.00 
1.066     6.49 

+0.581!—  8.42 
0.6761     8.25 

Nov.  6 

5.03 

.519 

2 

+  24 

4.81 

2 

22 

200 

1.116     5.92 

0.766 

8.01 

16 

15.01 

.570 

1 

77 

4.66 

2 

+    6 

300 

1.157J    531 

0.849 

7.71 

26  i    24.98 

.674 

+  I 

130 

4.69 

3 

—  13 

400 

1.1  88|    4.6£ 

0.920 

7.34 

Dec.  6 

4.95 

.830 

0 

182 

4.92 

3 

33 

1871. 

1879. 

16 
26 
36 

14.93 
24.90 
34.87 

2.037 
2.287 
+2.573 

—  1 
—  1 

229 

269 
+300 

5.35 

5.98 
-  6.78 

4 
4 

+  4 

53 
72 

—  88 

0 
100 
200 

—  .179 
.203 
.21? 

+4.8* 
4.19 
3.4JS 

+0.9001—7.47 
0.972     7.05 
1.036     6.58 

300 

.220 

2  7b 

1.091 

0.05 

400 

.213 

I.J6 

1.137 

5.47 

1872  B. 

188O  B. 

*  6  0, 

Nov.  22  2. 

#  d  Mean  Sun,     Nov.  18.8. 

C 

—  .2161+2.21 

+1.123 

—  5.67 

100 

.203      1.4£ 

1.163 

5.06 

200 

.179;  +0.6? 

1.193 

4  40  : 

300 

.i4b|—  0.13 

1.213 

3.71 

400 

—  .102—0.9-. 

+1.223 

—  2.1W  : 

182 


SPECIAL  TABLES. 


TABLE  XXIV.-/?1  Scorpii. 

h    m                                                      o      / 

R.A.  15  57.9.                       Dec.  —  19  27. 

Upper  transit  at  fictitious  meridian. 

A.  a 

A    6 

iSide- 
1  real 

AQa 

And 

AQa 

AQrf 

Day. 

Sidereal  D&y. 

jVfC3.Il  Ds  Y» 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                        " 

1873. 

8                     " 

0 

+0.807 

+4.34 

—  1.090 

—0.83 

100 

0720 

5.03 

1.040 

1.61 

1 

// 

200 

0.626 

5.67 

0.9821    2.38 

0,  Jan.   0 

—  0.11 

—1.077 

—  2 

+281 

+  3.39 

0 

—  93 

300 

0.527 

6.27 

0.915 

3.13 

10 

+  9.86 

0.781 

3 

307 

2.39 

0 

106 

400 

0.423 

681 

0.842 

3.85 

20 

19.83 

0.465 

3 

324 

1.29 

0 

114 

30 

29.80 

-0.136 

3 

332 

+  0.13 

+  1 

117 

I860. 

1874. 

Feb.    9 

8.78 

+0.197 

3 

332 

—  1.04 

116 

0 

+0.459 

+6.64 

—0.867 

—3.61 

19 
Mar.    1 

38.75 
0.72 

0.526 

0.848 

3 
3 

326 
315 

2.17 
3.23 

1 
1 

110 
101 

100 
200 

0.352 
0.243 

7.14 

7.5H 

0.789 
0.704 

4.31 

4.97 

11 
21 

10.69 
20.67 

1.154 
1.443 

3 

2 

298 
279 

4.19 
5.04 

2 
2 

91 
79 

300 
400 

0.131 

0.018 

7.96 

8.27 

0.614 
0.519 

5.58 
6.16 

31 

30.64 

1.711 

2 

257 

5.76 

3 

66 

1867. 

1875. 

100,  Apr.  10 
20 

9.61 
19.58 

1.957 
2.178 

1 

234 

207 

6.36 
6.82 

4 
4 

53 
41 

0 
100 

+0.056 
—0.057 

+8.17 
8.43 

—0.555 
0.454 

—5.97 
6.51 

30 

29.56 

2.371 

0 

180 

7.18 

4 

31 

200 

0.169 

8.62 

0.352 

6.99 

May  10 

9.53 

2.537 

0 

151 

7.45 

4 

22 

300 

0.280 

8.73 

0.248 

7.41 

20 

19.50 

2.673 

+  1 

121 

7.62 

4 

14 

400 

0.389 

8.76 

0.141 

7.78 

30 

29.48 

2.779 

1 

89 

7.74 

4 

8 

1868  B. 

1876  B. 

June  9 

8.45 

2.850 

2 

55 

7.79 

3 

—    4 

• 

19 

18.42 

2.888 

2 

+  20 

7.81 

3 

0 

c 

—0.353 

+8.76 

—0.177 

—7.66 

29 

28.39 

2.890 

3 

—  16 

7.78 

3 

+    5 

100 

0.459 

8.74 

—0.070 

7.98 

July  9 

8.37 

2.857 

3 

49 

7.70 

2 

10 

200 

0.561 

8.65 

+0.038 

8.24 

300 

0.658 

8.48 

0.146 

8.43 

200,          19 

18.34 

2.792 

3 

81 

7.58 

2 

15 

400 

0.749 

8.23 

0.252 

8.55 

29 

28.31 

2.695 

4 

111 

7.40 

2 

19 

Aug.  8 

7.28 

2.572 

4 

135 

7.20 

2 

24 

1869. 

1877. 

18 
28 

17.26 
27.23 

2.427 

2.268 

4 

4 

153 
164 

6.91 
6.59 

2 
2 

30 
34 

0 
100 

-0.719 

0.805 

+8.32 
8.03 

+0.217 
0.322 

—8.52 
8.59 

Sept.  7 
17 

27 

6.20 
16.18 
26.15 

2.101 
1.938 

.789 

4 
3 
3 

166 
157 
139 

6.23 

5.84 
5.43 

1 

1 
1 

38 
40 
39 

200 
300 

400 

0.885 
0.956 
1.020 

7.68 
7.25 
6.76 

0.425 
0.524 
0.620 

8.59 

8.52 
8.38 

Oct.    7 

6.12 

.662 

3 

113 

5.06 

1 

36 

1870. 

1878. 

17 

16.09 

.566 

3 

76 

4.72 

1 

30 

0 

—0.999 

+6.94 

+0.586 

—8.44 

300,          27 

2607 

.513 

2 

-  32 

4.47 

1 

19 

100 

.057 

6.41 

0.680 

8.25 

Nov.  6 

5.04 

.504 

2 

+  17 

4.35 

2 

+    5 

200 

.104 

5.83 

0.767 

7.99 

16 

15.01 

.547 

1 

70 

4.36 

2 

-11 

300 

.143 

5.21 

0848     7.67 

26 

24.98 

.644 

+  1 

123 

4.56 

2 

29 

400 

.171 

4.53 

0.9221    7.29 

Dec.   6 

4.96 

.793 

0 

175 

4.94 

3 

47 

1871. 

1879. 

16 
26 
36 

14.93 
24.90 
34.87 

1.992 
2.232 

+2.508 

0 
—  1 
—  1 

221 
259 
+291 

5.51 

6.27 
—  7.18 

3 
4 

+  4 

66 
83 

-  98 

0 
100 
200 

—  .163 

.185 
.196 

+4.76 
4.07 
3.34 

+0.897 
0.966 
1.027 

—7.42 

6.99 
6.51 

300 

.198 

2.59 

1.080 

5.96 

400 

.190 

1  81 

1.124 

5.37 

1873  B. 

1880  B. 

-*  6  0,                 Nov.  235. 

*  6  Mean  Sun,     Nov.  20.1. 

0 

-  .1931+2.07 

+1.110 

—5.58 

100 

.178     1.29 

1.147 

4.95 

200 

.1531+0.50 

1.175 

4.28 

300 

.118 

—  0.30 

1.194 

357 

400 

—  .074 

—1.09 

+1.201 

—2.83 

SPECIAL  TABLES. 


183 


TABLE  XXIV.—*  8J  Draconis  (B):  Groombridge  2320. 

h    m                                                    °      ' 

R.A.  16    6.0.                       Dec.  +  68    9. 

Upper  transit  at  fictitious  meridian. 

AQa 

' 

AQ<> 

Side- 
real 

Ana 

Aa(i 

AQa 

AQ<5 

. 

Day. 

1870. 

Var.  in 

10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                     " 

1873. 

8                         " 

0 

—0.564 

+4.60 

+0.3091—1.08 

t 

100 

0.606 

5.28 

0.368 

1.87 

1 

/* 

200 

0.643 

5.92 

0.424 

2.63 

0,Jan.    0 

—  0.11 

—2.937 

+  3 

+389 

-11.68 

+  1 

—333 

300 

0.674 

6.50 

0.476J     3.38 

10 

+  9.87 

2.502 

3 

477 

14.83 

0 

294 

400 

0.700 

7.03 

0.524 

4.09 

20 

19.84 

1.987 

2 

549 

17.54 

0 

245 

30 

29.81 

1.409 

2 

602 

19.71 

0 

188 

1866. 

1874. 

Feb.    9 

8.78 

0.788 

4-  1 

635 

21.27 

0 

124 

0 

—0.692 

+6.86 

+0.508!—  3.  86 

19 
Mar.    1 
11 
21 

18.76 
0.73 
10.70 
20.68 

—0.145 
+0.497 
1.119 
1.700 

0 
0 

1 

646 
635 

605 
556 

22.18 
22.40 
21.95 

20.84 

0000 

—  57 
+  12 
79 
141 

100 
200 
300 
400 

0.714 
0.729 
0.738 
0.741 

7.35 

7.77 
8.13 
8.41 

0.553     4.55 
0.594     5.20 
0.629     5.81 
0.660     6.37 

31 

30.65 

2.225 

2 

492 

19.15 

0 

197 

1867. 

187*5. 

100,  Apr.  10 
2!) 

9.62 
19.59 

2.680 
3.052 

2 

2 

415 

329 

16.94 
14.31 

0 
0 

244 
281 

0 
100 

—0.741 
0.739 

+8.33 
8.56 

+0.6501—6.19 
0.677]    6.71 

30 

29.56 

3.335 

2 

236 

11.36 

0 

307 

200 

0.731 

8.73 

7.18 

May  10 

9.54 

3.522 

3 

139 

8.21 

0 

322 

300 

0.717 

8.81 

0.713 

7.59 

20 

19.51 

3.612 

3 

+  41 

4.96 

0 

326 

400 

0.696 

8.82 

0.723 

7.94 

30 

29.48 

3.604 

2 

—  56 

-  1.73 

0 

320 

1868  B. 

1870  B. 

June  9 

8.46 

3.500 

2 

150 

+  1.40 

0 

303 

19 

18.43 

3.305 

2 

239 

4.31 

0 

279 

0 

—0.704 

+8.83 

+0.720 

-7.83 

29 

28.40 

3.025 

1 

321 

6.95 

0 

247 

100 

0.679 

8.79 

0.726 

8.13 

July   9 

8.37 

2.666 

—  1 

394 

9.23 

0 

208 

200 

0.619 

8.67 

0.725 

8.37 

300 

0.613 

8.47 

0.719 

8.54 

200,          19 

18.35 

2.239 

0 

458 

11.09 

0 

165 

400 

0.571 

8.21 

0.70G 

8.63 

29 

28.32 

1.754 

+  1 

511 

12.51 

0 

118 

Aug.  8 

7.29 

1.222 

551 

13.44 

0 

68 

1869. 

1877. 

18 

28 

17.26 
27.24 

0.656 
+0.070 

2 
3 

578 
591 

13.85 
13.75 

0 
0 

+  16 
-  36 

0 

100 

—0.586 
0.541 

+8.30 
7.99 

+0.71  1  1—8.61 
0.695     8.66 

Sept.  7 
17 
27 

6.21 
16.18 

26.16 

-0.520 
1.100 
1.651 

4 
4 
5 

588 
568 
532 

13.12 

11.98 
10.34 

000 

89 
140 
189 

200 
300 
400 

0.492 
0.439 
0.382 

7.61 
7.16 
6.65 

0.67  3 
0.645 
0.612 

8.64 
8..r5 
8.38 

Oct.    7 

6.13 

2.159 

6 

480 

8.22 

0 

235 

187O. 

187S. 

17 

16.10 

2.606 

6 

411 

5.66 

0 

276 

0 

—0.401 

+6.83i  +0.624 

-8.45 

;  300,          27 

26.07 

2.976 

7 

328 

+  2.71 

_l_ 

313 

100 

0.342 

6.28 

0.588 

8.24 

Nov.   6 

5.04 

3.257 

7 

232 

-  0.58 

343 

200 

0.280 

5.68 

0.546:    7.96 

16 

15.02 

3.437 

8 

126 

4.12 

365 

300 

0.216 

503 

0.501 

7.61 

26 

24.99 

3.506 

8 

—  12 

7.84 

378 

400 

0.150 

4.35 

0.450 

7.21 

Dec,    6 

4.96 

3.461 

8 

+104 

11.64 

380 

1871. 

1879. 

16 
26 
36 

14.94 
24.91 

34.88 

3.300 
3.027 
-2.651 

8 
7 

4-  7 

218 
326 
+424 

15.41 
19.04 
—22.41 

+ 

372 

352 
—320 

0 
100 

200 

—0.173 
0.106 

—0.038 

+  4.58 
3.H7 
3.13 

+0.468 
0.415 
0.359 

-7.35 

6.90 
6.39 

1 

300 

+0.02. 

2.36 

0.299 

5.83 

400 

L57 

0/237 

5^22 

1872  B. 

188O  B. 

*  8  Mean  Sun,      May  23.6. 
*  6  0,                 Nov.  25.4. 

0 

+0.074+1.84 

+0.258|—  5.43 

^  6  Mean  Sun,     Nov.  22.2. 

100 

0.140 

1.05 

0.194 

•4.79 

200 

0.205  +0.25 

0.129     4.10 

300 

0.269—0.55 

+0.064 

3.38 

400 

+0.329-1.35 

-0.005!—  2.62 

184 


SPECIAL  TABLES. 


TABLE  XXIV.-d  Cphiuclii. 

h    m                                                  °      ' 

R.A.  16    7.5.                       Dec.  —    3  21. 

Upper  transit  at  fictitious  meridian. 

AQa 

A0d 

Side- 
red 

AQa 

<w 

A^a 

AQd 

, 

Day. 

Sidereal  Day. 

(IccLQ  Day. 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff  for 
10  d. 

1865. 

B                    " 

1873. 

8                     " 

0 

+0.662 

+4.64 

—0.944 

-1.14 

100 

0.579 

5.32 

0.893 

1.93 

B 

// 

200 

0.491 

5.96 

0.835 

2.69 

0,  Jan.   0 

-  0.11 

—1.059 

—  2 

+254 

—  0.29 

0 

—167 

300 

0.398 

6.54 

0.769 

3.44 

10 

+  9.87 

0.790 

2 

280 

1.96 

0 

167 

400 

0.302     7.07 

0.698 

4.15 

20 

19.84 

O.S01 

2 

298 

3.C1 

+   1 

160 

30 

29.81 

—0.196 

3 

309 

5.15 

1 

147 

1866. 

1874. 

Feb.  9 

8.78 

+0.114 

3 

311 

6.54 

1 

130 

0 

+0.335 

+6.9(1 

—0.722 

—3.91 

19 
Mar.  1 
11 
21 

18.76 
0.73 

10.70 
20.67 

0.423 
0.725 
1.016 
1.291 

3 
3 
3 
2 

306 
297 
283 
265 

7.73 

8.67 
9.36 
9.77 

1 

2 
2 
2 

107 

82 
55 
—  27 

100 
200 
300 
400 

0.236 
0.136 
+0.035 
—0.067 

7.38 
7.80 
8.1(1 

8.44 

0.647 
0.566 
0.481 
0.392 

4.60 
5.25 
5.86 
6.42 

31 

30.65 

1.546 

2 

245 

9.90 

2 

0 

1867. 

1875. 

100,  Apr  10 
20 

9.62 
19.59 

1.781 

1.992 

1 
1 

223 
199 

9.77 
9.43 

2 
2 

+  24 
44 

0 

100 

—0.033 
0.134 

+8.35 
8.59 

-0.423 
0.33S 

—6.24 
676 

30 

29.56 

2.180 

—  1 

173 

8.90 

2 

61 

200 

0.234 

8.74 

0.238 

7.22 

May  10 

9.54 

2.339 

0 

145 

8.23 

2 

74 

300 

0.332 

8.83 

0.142 

7.63 

20 

19.51 

2.470 

0 

116 

7.44 

2 

83 

400 

0.427 

8.83 

0.046 

7.97 

30 

29.48 

2.572 

+  1 

86 

6.59 

2 

88 

1868  B. 

1876  B. 

June  9 
19 
29 
July  9 

8.45 
18.43 
28.40 
8.37 

2.642 
2.679 
2.685 
2.656 

1 

2 
2 

2 

54 
+  21 
—  12 
45 

5.70 
4.83 
3.99 
3.21 

2 
2 
2 
2 

89 
86 
81 
75 

0 
100 
200 
300 

—0.396 
0.488 
0.577 
0660 

+8.84 
8.79 
8.67 
8.47 

—0.078 
+0.059 
0.116 
0.21  J 

-7.86 
8.16 
8.40 
8.56 

|200,          19 

18.35 

2.596 

3 

75 

2.49 

2 

68 

400 

0.737 

8.20 

0.306 

8.65 

29 

28.32 

2.507 

3 

104 

1.86 

2 

59 

Aug.  8 

7.29 

2.390 

3 

129 

1.31 

2 

50 

1869. 

1877. 

18 
28 

17.26 

27.24 

2.252 
2.101 

3 
3 

146 
157 

0.87 
0.54 

2 
2 

39 

27 

0 
100 

—0.712 

0.784 

+8.3C 

+0.274—8.63 
0.367!     8.  68 

200 

0.850 

7*.  51) 

0,457 

8.65 

Sept.  7 

6.21 

1.941 

4 

162 

0.33 

2 

15 

300 

0.908 

7.14 

0.543 

8.55 

17 

16.18 

1.781 

4 

157 

0.25 

2 

+     1 

400 

0.959 

6.63 

0.625 

8.38 

27 

26.15 

1.631 

3 

141 

0.32 

2 

—  14 

Oct.    7 

6.13 

1.502 

3 

116 

0.53 

2 

30 

1870. 

18 

rs. 

17 

16.10 

1.401 

3 

83 

0.91 

2 

48 

0 

—  0.943+6.8C 

+0.598 

-8.45 

300,          27 

26.07 

1.338 

2 

—  44 

1.49 

2 

67 

100 

0.988     6.25 

0.677 

8.23 

Nov.  6 

5.05 

1.315 

2  4-    1 

2.26 

3 

86 

200 

1.0241    5.65 

0.750 

7.95 

16 

1502 

1.341 

+  1 

50 

3.22 

3 

106 

300 

1.C51 

5.06 

0.817 

7.60 

26 

24.99 

1.416 

0 

100 

4.38 

4 

126 

400 

1.069 

4.31 

0.878 

7.18 

Dec.  6 

4.96 

1.541 

0 

149 

5.73 

4 

143 

1871. 

1879. 

16 
26 
36 

14.94 
24.91 

34.  £8 

1.713 

1.928 
+2.177 

0 

—  1 
—  1 

194 
233 
+264 

7.22 

8.84 
-10.49 

4 
4 

156 
164 
—166 

0 
100 
200 

—  .064 
.076 
.079 

+4.55 
3.83 
3.0& 

+0.858  -7.  33 
0.914     C.88 
0.963;     6.36 

300 

073 

2.31 

1.003 

•    5.79 

400 

.057 

1.53 

1.036 

5.18 

1872  B. 

188O  B. 

*  6  0,                 Nov.  25.8. 

^c  6  Mean  Sun,     Nov.  22.6. 

0 

—  .064+1.79 

+1.0261—5.39 

100 

.042 

1.01 

1.0521    4.74 

200 

.012+0.21 

1.070     4.05 

300 

0.974  —0.61 

1.079     3.32 

400 

—  0.928  —J.4( 

+1.079-2.57 

1                                                                                                                                               l 

| 

SPECIAL  TABLES. 


185 


TABLE  XXIV.—  r  Herculis. 

h    m                                                       °       ' 

R.A.  16  15.8.                        Dec.  +  46  37. 

Upper  transit  at  fictitious  meridian. 

A    a 

A    6 

Side 
real 

A 

And 

A    a 

A    6 

Tf 

Day 

0 

Sidcrcjil  Dfiy. 

3^Io  tin  Dtiv- 

1870. 

Var.in 

lOy. 

Diff.  for 
10  d. 

1870. 

Var.in 
10  y. 

Diff.  fo 
10  d. 

1865. 

8                      " 

1873. 

o 

+0.140 

+4.90 

—0.400 

—1.40 

100 

0.077 

5.57 

0.348 

2.19 

8 

// 

200 

+0.013 

6.20 

0.293 

2.96 

0,  Jan.   0 

—  0.10 

—1.621 

—  1 

+261 

—  9.10 

+  2 

—330 

300 

—0.051 

6.76 

0.235 

3.70 

10 

+  9.87 

1.335 

1 

308 

12.25 

2 

209 

400 

0.115 

7.27 

0.176 

4.40 

20 

19.84 

1.008 

2 

344 

15.05 

3 

258 

30 

29.82 

0.650 

2 

370 

17.30 

3 

208 

1866. 

1874. 

Feb.   9 

8.79 

—0.272 

2 

384 

19.19 

2 

152 

0 

—  O.C93'+7.11 

—0.196—4.17 

19 
Mar.   1 
11 
21 

18.76 
0.73 
10.71 

20.68 

+0.115 

0.500 
0.874 
1.227 

2 
2 
3 
8 

388 
381 
365 
340 

20.41 
20.99 
20.91 
20.23 

2 
1 

1 
+  1 

91 
—  25 
+  39 

98 

100 
200 
300 
400 

0.157     7.58 
0.219     7.98 
0.279     8.31 
0.3361    8.58 

0.136 
0.076 
—0.014 
+0.048 

4.85 
5.49 
6.09 
6.63 

31 

30.65 

1.552 

2 

309 

18.97 

0 

154 

1867. 

1875. 

100,  Apr.  10 

9.62 
19.60 

1.843 

2.095 

2 
2 

272 
231 

17.17 
14.94 

0 

1 

203 
241 

0 
100 

—0.317 
0.373 

+8.50 
8.71 

+0.027 
0.089 

—6.46 
6.96 

30 

29.57 

2.304 

2 

186 

12.38 

1 

271 

200 

0.425 

8.84 

0.149 

7.41 

May  10 

9.54 

2.467 

1 

139 

9.56 

—  1 

290 

300 

0.474 

8.90 

0.209 

7.80 

20 

19.52 

2.582 

—  1 

91 

6.61 

0 

299 

400 

0.518 

8.88 

0.266 

8.13 

30 

29.49 

2.648 

0 

+  41 

3.61 

0 

299 

1868  B. 

1876  B. 

June  9 

8.46 

2.663 

0 

—    9 

—  0.66 

0 

290 

19 

18.43 

2.631 

0 

57 

+  2.16 

0 

272 

0 

—0.50-1 

+8.90 

+0.247 

—8.02 

29 

28.41 

2.550 

+  1 

103 

4.76 

0 

246 

100 

0.545 

8.82 

0.303 

8.30 

July    9 

8.38 

2.425 

2 

147 

7.06 

0 

214 

200 

0.582 

8.68 

0.356 

8.52 

300 

0.613 

8.45 

0.407 

8.66 

!200,          19 

18.35 

2.258 

2 

187 

9.03 

0 

178 

400 

0.639 

8.16 

0.454 

8.73 

29 

28.32 

2.053 

2 

222 

10.61 

0 

137 

Aug.  8 

7.30 

1.817 

3 

251 

11.77 

0 

93 

1869. 

1877. 

18 
28 

17.27 
27.24 

1.553 
1.275 

3 
3 

272 

285 

12.47 
12.70 

0 

+  1 

+  47 

0 
100 

—0.631 
0.654 

+8.26 
7.92 

+0.4411—8.71 
0.483     8.74 

Sept.  7 
17 
27 

6.21 
16.19 
26.16 

0.986 
0.700 
0.427 

3 
3 
3 

289 
281 
t63 

12.45 
11.72 
10.51 

1 

1 

2 

49 
97 
143 

200 
300 
400 

0.670 
0.681 
0.686 

7.51 
7.03 
6.50 

0.524 
0.561 
0.593 

8.68 
8.56 
8.37 

Oct.    7 

6.1V 

+0.178 

3 

234 

8.88 

2 

188 

1870. 

1878. 

17 

16.11 

—0.037 

3 

195 

6.75 

3 

231 

0 

-0.685 

+6.68 

+0.583 

—8.44 

300,          27 

26.08 

0.209 

2 

147 

4.25 

3 

269 

100 

0.686 

6.11 

0.612 

8.21 

Nov.  6 

5.05 

0.328 

2 

90 

+  1.39 

3 

302 

200 

0.681 

5.49 

0.636 

7.90 

16 

15.02 

0.387 

2 

—  28 

—  1.77 

3 

329 

300 

0.670 

4.82 

0.655 

7.52 

26 

25.00 

0.382 

1 

+  38 

5.16 

4 

347 

400 

0.654 

4.11 

0.668 

7.09 

Dec.   6 

4.97 

0.311 

+  1 

104 

8.68 

4 

356 

1871. 

1879. 

16 

26 
36 

14.94 
24.91 
34.89 

—0.175 
+0.024 
+0.279 

0 
0 
0 

168 

228 
+280 

12.25 

15.76 
—19.08 

4 
4 
+  4 

355 
343 
—319 

0 
100 
200 

-0.660 
0.640 
0.614 

+4.35  +0.664 
3.62  i    0.674 
2.86      0.67e 

—7.24 

6.76 
6.23 

300 

0.584 

2.08-1     n  rt7? 

5.64 

400 

0.548 

1.28 

o!670 

5.00 

1872  B. 

18SOB. 

*  6  0,                 Nov.  27.7. 

#  6  Mean  Sun,     Nov.  24.7. 

0 
100 

-0.561  1+1.55 
0.522  +0.74 

+0.673;—  5  23 
0.662     4.56 

200 

0.479 

—0.06 

0.646     3.85 

300 

0.433 

0.87 

0.623J     3.11 

400 

-0.383—1.67 

+0.596—2.34 

186 


SPECIAL  TABLES. 


TABLE  XXIV.—  y  Draconis. 

h    m                                                  o      / 

R.A.  16  24.2.                       Dec.  +  61  49. 

Upper  transit  at  fictitious  meridian. 

Aoa 

Ao* 

Side 
ireal 
,Day 

AQa 

AQ(J 

AQa 

W 

Siilcrcjil  Duv. 

AT  pfln  T")nv 

/• 

I 

1870. 

Var.inDiff.for 
10  y.       10  d. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

s             " 

1873. 

8                      " 

0 

—0.219 

+5.1G 

'—0.011 

—1.60 

!   100 

0.265 

5.76 

+0.039 

2.39 

s 

// 

1  200 

0.309 

6.38 

0.088 

3.16 

0,Jan.    0 

—  0.10 

-2.421 

0 

-f-305 

—10.17 

+  1 

—343 

j  300 

0.351 

6.93 

0.137 

3.89  ! 

10 

+  9.87 

2.079 

0 

377 

13.46 

310 

1  400 

0.390 

7.43 

0.184 

4.59 

20 

J9.85 

1.673 

0 

437 

16.34 

1 

265 

30 

29.82 

1.211 

0 

483 

18.73 

+  1 

210 

1844, 

1874. 

Feb.   9 

8.79 

0.714 

—  1 

511 

20.52 

0 

148 

0 

—0.377 

+7.27 

+0.169'—  4.36 

19 
Mar.  1 
11 
21 

18.77 
0.74 
10.71 
20.68 

—0.196 
+0.326 
0.835 
1.317 

1 

1 
I 
2 

523 

518 
500 

468 

21.68 
22.18 
22.00 
21.16 

0 
0 
0 
0 

83 
—  16 
+  51 
136 

:  100 
'  200 
1  300 
400 

0.413 
0.446 
0.475 
0.500 

7.72 
8.11 
8.43 
8.67 

0.215     5.04 
0.260     5.68 
0.3031    6.26 
0.343     6.79 

31 

30.66 

1.766 

2 

422 

19.70 

—  1 

175 

ISO?. 

1875. 

100,  Apr.  10 
•20 

9.63 
19.60 

2.161 

2.498 

2 

2 

368 

305 

17.69 
15.23 

225 

265 

0 
100 

—0.492 
0.514 

+8.6C 
8.79 

+0.3291—6.62 
0.367     7.1*2 

30 

29.57 

2.768 

2 

236 

12.42 

295 

20( 

0.531 

8.91 

0.402 

7.55 

May  10 

9.55 

2.967 

1 

164 

9.36 

315 

300 

0.544 

8.9,- 

0.434 

7.93 

20 

19.52 

3.092 

1 

88 

6.15 

324 

400 

0.552 

8.91 

0.462 

8.24  ; 

30 

29.49 

3.141 

1 

4-  12 

-  2.90 

1 

323 

1868  B. 

1876  B. 

June  9 

8.46 

3.115 

—  1 

—  62 

+  0.27 

—  1 

312 

19 

18.44 

3.016 

0 

134 

3.30 

0 

292 

0 

—0.550 

+8.93 

+0.453 

-8.14 

29 

28.41 

2.846 

0 

202 

6.08 

o 

263 

100 

0.554 

8.84 

0.478 

8.41 

July  9 

8.38 

2.612 

0 

265 

8.54 

0 

228 

200 

0.554 

8.67 

0.500 

8.60 

300 

0.549 

8.4:5 

0.518 

8.73 

200,          19 

18.36 

2.318 

+  1 

321 

10.63 

0 

189 

400 

0.540 

8.12 

0.531 

8.78 

29 

28.33 

1.972 

1 

369 

12.30 

0 

144 

Aug.  8 

7.30 

1.582 

1 

408 

13.50 

0 

96 

1869. 

1877. 

18 
28 

17.27 
27.25 

1.158 
0.712 

2 

2 

437 
453 

14.21 
14.41 

0 

+  1 

+  46 
—    6 

0 
100 

—0.544 
0.531 

+8.23 

7.87 

+0.526 
0.537 

-8.77 

8.77 

Sept.  7 
17 

27 

6.22 
16.19 
26.16 

+0.256 
—0.197 
0.633 

3 
3 
3 

456 
446 
422 

14.09 
13.26 
11.90 

1 

58 
110 
160 

200 
300 
400 

0.514 

0.491 
0.466 

7.41 
6.94 
6.39 

0  543 
0.544 
0.541 

8.71 
8.57 
8.36 

Oct.    7 

6.14 

1.038 

4 

384 

10.07 

207 

1870. 

1878. 

17 

16.11 

1.399 

4 

333 

7.77 

251 

0 

—  0.475J+6.58 

+0.543i—  8.43 

300,          27 

26.08 

1.701 

4 

269 

5.06 

291 

100 

0.447 

6.00 

0.537 

8.18 

Nov.  6 

5.06 

1.934 

4 

193 

+  1.96 

325 

200 

0.414 

5.36 

0.526 

7.85 

16 

15.03 

2.085 

4 

108 

—  1.42 

2 

351 

300 

0.378 

4.67 

0.511 

7.46 

26 

25.00 

2.149 

4 

—  18 

5.03 

2 

370 

400 

0.340 

3.95 

0.492 

7.01 

Dec.  6 

4.97 

2.121 

3 

+  75 

8.78 

2 

377 

1871. 

1S79. 

16 
26 
36 

14.95 
24.92 
34.89 

2.001 
1  .790 
—1.497 

3 

2 
+  2 

167 

254 
+333 

12.54 
16.21 
—19.68 

2 
2 
+  2 

373 
359 
—332 

0 
100 
200 

—0.353 
0.312 
0.269 

+4.20 
3.46 
2.69 

+0.499 
0.477 
0.452 

—7.17 
6.67 
6.12 

300 

0.223 

1.8SJ 

0.422 

5.52 

400 

0.176 

1.09 

0.386 

4.87 

1873  B. 

1SSO  B. 

*  6  0,                 Nov.  29.2. 

*  6  Mean  Sun,    Nov.  26.3. 

0 

—0.192'  +1.36 

+0.400 

—5.09 

100 

0.144+0.561 

0.384 

4.41 

200 
300 

0.094—0.26 
—0.044     1.07 

0.:J26 

0.284 

3.69 
2.94 

400 

+0.006  —  1.87+0.240 

—  2.K) 

SPECIAL  TABLES. 


187 


TABLE  XXIV.—*  A  Draconis. 

h    rn                                                        o      / 

R.A.  16  28.2.                       Dec.  +  69    3. 

Upper  transit  at  fictitious  meridian. 

A.  « 

[Side- 
AQ(J                     real 

Aa« 

A    6 

A 

*o£ 

.Day. 

!  Sittere&l  DBV. 

Mean  Day 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
lOd. 

1865. 

8                   " 

1873. 

8                      " 

o 

—0.536 

+5.28 

+0.3431-1.79 

j    100 

0.565 

5.93 

0.389     2.58 

8 

// 

'  200 

0.589 

6.54 

0.431      3.34 

0,Jan.    0 

—  0.09 

—3.261 

+  3 

+345 

—10.18 

0 

—344      30€ 

0.609 

7.08 

0.470     4.07 

10 

+  9.88 

2.866 

3 

444 

13.47 

0 

31  1      400 

0.622 

7.57 

0.505|    4.77 

20 

19.85 

2.378 

3 

528 

16.36 

0 

266 

30 

29.83 

1.815 

2 

594 

18.75 

0 

212 

1866. 

1871. 

Feb.   9 

8.80 

1.197 

2 

639 

20.57 

0 

150 

0 

—0.618 

+7.41 

+0.494 

—4.54 

19 
Mar.   1 
11 
21 

18.77 
0.74 
10.72 
20.69 

—0.545 
+0.119 
0.773 
1.396 

1 

0 

0 

661 

662 
642 
601 

21.74 
22.24 
22.06 
21.21 

0 
0 
0 

0 

84 
—  15 
+  52 
116 

100 
200 
300 

,  400 

0.629 
0.634 
0.633 
0.627 

7.86 
8.23 
8.53 
8.76 

0.526 
0.554 
0.577 
0.596 

5.21 
5.84 
6.42 
694 

31 

30.66 

1.970 

—  1 

544 

19.74 

0 

176 

1867. 

1875. 

100,  Apr.  10 
20 

9.64 
19.61 

2.479 
2.909 

1 

2 

472 

388 

17.73 

15.26 

0 
0 

226 
267 

0 
;  100 

—0.629 
0.620 

+8.69 

8.87 

+0.590 
0.605 

-6.77 
7.25 

30 

29.58 

3.251 

2 

294 

12.42 

0 

299 

200 

0.604 

8.97 

0.615 

7.68 

MaylO 

9.55 

3.496 

2 

195 

9.32 

0 

319 

300 

0.584 

8.99 

0.620 

8.04 

20 

19.53 

3.641 

2 

+  94 

6.08 

0 

328 

400 

0.558 

8.93 

0.621 

S.34 

30 

29.50 

3.683 

2 

—    9 

—  2.79 

0 

327 

1868  B. 

1876  B. 

June  9 
19 

8.47 
18.44 

3.623 
3.465 

2 
2 

110 

206 

+  0.43 
3.49 

0 
0 

316 

296 

0 

—  0.56S 

+8.96 

+0.6211—8.25 

29 

28.42 

3.212 

2 

297 

6.31 

o 

267 

100 

0.539 

8.85 

0.618     8.49 

July  9 

8.39 

2.873 

1 

380 

8.82 

0 

2:52 

20U 

0.505 

8.67 

0.609     8.67 

:  300 

0.468 

8.41 

0.596     8.78 

200,          19 

18.36 

2.455 

—  1 

454 

10.94 

0 

192 

400 

0.426 

8.07 

0.5771     8.82 

29 

28.33 

1.969 

0 

517 

12.64 

0 

147 

Aug.  8 

7.31 

1.426 

0 

567 

13.87 

0 

98 

1869. 

1877. 

18 

28 

17.28 
27.25 

0.839 
+0.224 

2 

604 
625 

14.61 
14.83 

0 
0 

±1 

0 
100 

—0.440 
0.396 

+8.19 

7.8r 

+0.584 
0.562 

—8.82 
8.80 

Sept.  7 
17 
27 

6.22 
16.20 
26.17 

-0.405 
1.031 
1.6:56 

3 

3 
4 

630 
615 

589 

14.53 
1371 
12.38 

000 

56 
108 
159 

200 
300 
400 

0.347 
0.298 
0.246 

7.37 
6.86 
6.2D 

0.536 
0.506 
0.471 

8.72 
8.56 
8.34 

Oct.    7 

6.14 

2.204 

5 

542 

10.55 

0 

207 

187O. 

1878. 

17 

16.12 

2.715 

6 

478 

8.25 

0 

251 

300,          27 

26.09 

3.155 

6 

398 

5.54 

0 

291 

0 
100 

—  0.264J+6.49 

0.209     5.88 

+0.483:—  8.42 
0.4451     8.  15 

Nov.  6 

5.06 

3.5U6 

7 

303 

+  2.45 

0 

325 

200 

0.154     5.23 

0.404     7.81 

16 

15.03 

3.756 

7 

196 

—  0.95 

0 

352 

300 

0.096     4.53 

0.360!    7.40 

26 

25.01 

3.896 

7 

—  81 

4.56 

o 

370 

400 

0.038|    3.80 

0.311J    6.93 

Dec.   6 

4.98 

3.916 

8 

+  40 

8.31 

0 

378 

1871. 

1879. 

16 
26 
36 

14.95 
24.92 
34.90 

3.816 
3.597 
—3.267 

8 

7 

4-  7 

160 
276 
+383 

12.08 
15.76 
—19.24 

0 
0 
0 

375 
360 
—333 

0 
100 
200 

—0.058 
0.000 
+0.057 

+4.05 
3.30 
2.52 

+0.328 
0.278 
0.226 

—7.09 
6.59 

6.02 

300 

0.115 

1.72 

0.172 

5.40 

400 

0.170 

0.91 

o!iie 

4.74 

1872  B. 

1S8O  B. 

*  8  Mean  Sun,     May  29.2. 

*  6  ©,                  Nov.  30.6. 

0 

+0.152  +1.1S  +0.  135  —4.97 

*  6  Mean  Sun,     Nov.  27.8. 

100 

0.207 

+0.37|     0.078 

4.28 

200 

0.260 

—0.45  +0.021 

3.54 

300 

0.311     1.26—0.037 

2.78 

400 

+0.359—  2.16  —0.094 

—1.99 

188 


SPECIAL  TABLES. 


TABLE  XXIV.-COphiuchi. 

h    m                                                    o      / 

R.A.  16  30.0.                       Dec.  —  10  18. 

Upper  transit  at  fictitious  meridian. 

AQa 

A0J 

Side- 
real 

AQa 

A^ 

AQa 

£* 

Sidereal  D&Y 

Mean  Da 

Day. 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                      " 

1873. 

K                    " 

0 

+0.715 

+5.32 

-1.003 

—1.86 

100 

0.629 

5.98 

0.951 

2.64 

1 

// 

200 

0.538 

6.58 

0.891 

3.40 

0,  Jan.   0 

—  0.09 

—  1.H7 

—  3 

+243 

+  0.96 

0 

—124 

300 

0.441 

7.12 

0.824 

4.14 

10 

+  9.88 

0.888 

3 

272 

—  0.31 

0 

129 

400 

0.341 

7.60 

0.751 

4.83 

20 

19.85 

0.605 

3 

294 

1.60 

_|_ 

128 

30 

29.83 

—0.303 

3 

308 

2.85 

122 

186(». 

1874. 

Feb.   9 

8.80 

+0.008 

3 

313 

4.03 

11-2 

0 

+0.375 

+7.45 

—0.776 

—4.60 

19 

Mar.   1 
11 
21 

18.77 
0.74 
10.72 
20.69 

0.321 

0.630 
0.932 
1.22-2 

3 
3 
3 

2 

312 

306 

297 

282 

5.08 
5.£i 
6.63 
7.11 

2 

97 

78 
58 
38 

100 
200 
300 
400 

0.273 
0.168 
+0.062 
—0.045 

7.89 
8.26 
8.56 
8.78 

0.699 
0.615 
0.52? 
0.435 

5.27 
5.89 
6.47 
6.99 

31 

30.66 

1.495 

2 

264 

7.39 

2 

—  17 

1867. 

1875. 

100,  Apr.  10 
20 

9.63 
19.61 

1.750 
1.985 

2 
2 

245 

224 

7.46 
7.35 

2 
2 

+    2 

18 

0 
100 

—0.009:4-8.71 
0.116!    8.89 

—0.466 
0.372 

—6.82 
7.30 

30 

29.58 

2.197 

1 

199 

7.10 

3 

32 

200 

0.221 

8.98 

0.274 

7.72 

May  10 

9.55 

2.382 

—  1 

172 

6.72 

3 

42 

300 

0.325 

9.00 

0.174 

8.08 

20 

19.52 

2.541 

0 

143 

6.26 

3 

49 

400 

0.425 

8.94 

0.073 

8.37 

30 

29.50 

2.668 

0 

112 

5.74 

3 

54 

1868  B. 

1876  B. 

June  9 

8.47 

2.764 

+  1 

80 

5.19 

3 

56 

19 

18.44 

2.827 

r  2 

46 

4.63 

2 

55 

0 

—0.39-2 

+8.9? 

—0.107 

—8.28 

29 

28.42 

2.855 

2 

+  10 

4.10 

2 

53 

100 

0.490 

8.85 

—0.005 

8.52 

July  9 

8.39 

2846 

2 

—  27 

3.58 

2 

50 

200 

0.584 

8.66 

+0.09? 

8.70 

300 

0.672 

8.40 

0.1  9h 

8.80 

200,          19 

18.36 

2.801 

3 

61 

3.11 

2 

46 

400 

0.755 

8.06 

0.'29? 

8.83 

29 

28.33 

2.724 

3 

92 

2.67 

2 

42 

Aug.  8 

7.31 

2.617 

3 

120 

2.28 

2 

37 

1869. 

1877. 

18 
28 

17.28 
27.25 

2.485 
2.332 

3 
3 

143 

158 

1.92 
1.63 

2 
2 

32 

27 

0 
100 

—0.728 
0.806 

+8.18 

7.80 

+0.264—8.83 
0.362|     8.82 

Sept.  7 
17 

27 

6.22 
16.20 
26.17 

2.171 

2.005 
.846 

3 
3 
3 

165 
164 
152 

1.39 
1.21 

.09 

2 
2 
2 

21 
15 

4-    7 

200 
300 

400 

0.877 
0.940 
0.995 

7.34 

6  83 
6.26 

0.45? 
0.549 
0.63G 

8.7-2 
8.56 
8.33 

Oct.    7 

6.14 

.705 

3 

130 

.07 

2 

—    3 

187O. 

1878. 

17 

16.12 

.589 

3 

99 

.16 

2 

15 

0 

—0.977 

+6.46 

+0.607|-8.41 

300,         27 

26.09 

.509 

2 

60 

.37 

2 

28 

100 

.026 

5.85 

u.691 

8.13 

Nov.  6 

5.06 

.471 

2 

—  15 

.73 

3 

44 

!  200 

.066 

5.19 

0.771 

7.79 

16 

15.03 

.480 

1 

+  34 

2.25 

3 

60 

300 

.097 

4.49 

0842 

7.37 

26 

25.01 

.539 

+  1 

84 

2.92 

3 

77 

400 

.118 

3.76 

0.90t' 

6.90 

Dec.   6 

4.98 

1.647 

0 

133 

3.77 

3 

93 

1871. 

1879. 

16 
26 
36 

14.95 
24.92 
34.90 

1.804 
2.006 
+2.244 

0 
0 

—  1 

180 
221 
+254 

4.77 
5.90 
—  7.14 

4 

4 
-h  4 

107 
119 

—127 

0 
100 
200 

—  .112+4.01 
.1271     3.-2f> 
.133     2.4? 

+0.886 
0.94? 
IMO 

—7.06 
5.98 

300 

.128]     1.6? 

1.044 

5.36 

400 

.115     0.85 

1.08J 

4^69 

1872B. 

18SOB. 

•*  6  ©,                 Dec.     1.0. 

.5fc  6  Mean  Sun,    Nov.  28.3. 

0 

-  .120 

+1.13 

+1.0691—4.92 

100 

,10U 

+0.31 

1.01)9 

4.22 

200 

.071 

—0.51 

1.120 

3.48 

30(1 

.033 

1.3'2 

1.132 

2.7-2 

400 

—0.986 

—2.12 

+1.134—1.93 

SPECIAL  TABLES. 


189 


TABLE  XXIV.—*  a  Trianguli  Australia. 

h    m                                                    °      ' 

R.A.  16  34.9.                       Dec.  —  68  47 

i 

Upper  transit  at  fictitious  meridian. 

Aoa 

AQd 

Side- 
real 

AQ« 

Aqd 

A^tt 

Aa* 

Day. 

Sidereal  Day. 

1870. 

Var.in 
10  y. 

Diff.  foi 

10  d. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  <L 

1865. 

8                    " 

18 

8 

73. 

0+1.761+5.46 

-2.148 

—2.01 

100     1.624     6.10 

2.087 

2.80 

9 

// 

200 

1.473     (5.70 

2.008 

3.56 

0,Jan.    0  —  0.09 

—3.157 

—12 

+550 

+  9.53 

—  7 

+179 

300 

1.308     7.23 

1.913 

4.29 

10   +  9.3.) 

2.565 

14 

632 

11.15 

6 

143 

400 

1.132)    7.71 

1.803 

4.98 

20 

19.86 

1.899 

15 

696 

12.38 

5 

103  ' 

30 

29.83 

1.178 

16 

742 

13.21 

3 

61 

1866. 

1874. 

Feb.    9 

8.80 

-0.422 

16 

768 

13.61 

—  1 

+  19 

0!+1.193 

+7.56 

—1.842—4.75 

19 
Mar.    1 
11 
21 

18.78 
0.75 
10.72 
20.70 

+0.353 
1.130 
1.894 
2.632 

15 
14 
13 
11 

778 
773 
753 
722 

13.58 
13.15 
12.34 
11.16 

0 
+  2 
4 
5 

—  23 
63 
100 
135 

100 

200 
300 
400 

1.009 
0.817 
0.618 
0.413 

7.98 
8.34 
8.63 

8.84 

1.722     5.41 
1.588     6.03 
1.441      6.60 
1.2821     7.11 

31 

30.67 

3.334 

9 

679 

9.65 

7 

166  i 

1867. 

1875. 

100,  Apr.  10 
20 

9.64 
19.61 

3987 
4.583 

7 
4 

626 

564 

7.85 
5.80 

8 
9 

193 

216 

0 
100 

+0.482 
0.275 

+8.78;—  1.337!—  6.94 
8.94      1.1711    7.42 

30 

29.58 

5.112 

—  2 

493 

3.54 

10 

235 

200 

-1-0.065 

9.02 

0.996     7.83 

May  10 

9.56 

5.567 

+  1 

415 

+  1.11 

11 

250 

300—0.145 

9.0* 

0.813!    8.17 

20 

19.53 

5.939 

4 

329 

—  1.43 

12 

259 

400 

0.353 

8.95 

0.623|    8.45 

i 

30 

29.50 

6.222 

7 

236 

4.04 

12 

262 

1868  B.                1876  B. 

June  9 
19 
29 

8.48 
18.45 
28.42 

6.410 
6500 
6.490 

10 
13 
15 

140 
+  40 
—  60 

6.65 
9.21 
11.65 

12 
12 
12 

259 
251  ; 
236 

0 
100 

—0.283 
0.490 

+8.98  '—0.688—8.37 
8.86      0.49-li     8.60 

July  9 

8.39 

6.380 

17 

158 

13.90 

11 

214 

200 
300 

0.692 

0.887 

8.65 

8.37 

0.2971    8.76 
—0.097     8.85 

200,          19 

18.37 

6.175 

19 

251 

15.91 

11 

186 

400 

1,079 

8.02+0.104 

8.86 

29 

28.34 

5.882 

20 

334 

17.60 

10 

152 

Aug.  8 

7.31 

5.512 

22 

405 

18.92 

9 

113  ' 

1869.                     1877. 

18 

28 

17.28 
27.26 

5.078 

4.598 

22 
22 

460 
496 

19.83 
20.29 

7 
6 

69  ! 
—  22  ' 

0 
100 

—  .013 
.194 

+8.  15:  '+0.03? 
7.75      0.23? 

—8.87 
8.84 

Sept.  7 
17 
27 

6.23 
16.20 
2618 

4.094 
3.580 
3.100 

22 
21 

20 

510 

501 
467 

20.27 
1977 
18.80 

5 
4 
2 

74  ! 
120  j 

200 
300 
400 

.364 
.522 
.6o7 

7.28 
6.75 
6.17 

0.43? 
.  0.633 
0.824 

8.73 
8.55 

8.30 

Oct.    7 

6.15 

2.660 

18 

410 

17.39 

+  1 

162  | 

1870. 

1878. 

17 

16.12 

2.289 

16 

330 

15.58 

0 

198 

0 

-  .019  +6.37  1+0.761!—  8.39 

j  300,          27 

26.09 

2.006 

14 

231 

13.46 



226  i 

100 

.754|     r>-7">      °-947 

8  10 

Nov.  6 

5.07 

1.631 

11 

—118 

11.09 

246  ! 

200 

.874     5.08 

1.126 

7.74 

16 

15.04 

1.7?5 

8 

+    6 

8.58 

255  ! 

300 

.976]     4.37 

1.29? 

7.31 

26 

25.01 

1.845 

6 

6.02 

255  i 

400 

2.062     3.03 

1.45? 

6.82 

Dec.   6 

4.98 

2.043 

+  3 

261 

3.51 

j 

245  \ 

1871. 

1879. 

16 
26 
36 

14.90 
24.93 
34.90 

2.365 

2.801 
+3.338 

0 
—  2 
—  4 

381 

489 
+583 

—  1.14 
+  1.00 
+  2.83 

0 

+  1 

+  2 

227  ! 
200  • 
+  166  i 

0 
100 
200 

—2.035 
2.109 
2.165 

+3.88 
3.12 
2.33 

+  1.404 
1.55? 
1.69? 

—6.99 
0.46 

5.88 

300 

2.201 

1.5-2 

5.24 

400 

2.22U     0.70  1     1.9&5 

4.56  1 

1872  B. 

188O  B. 

*  <§>  Mean  Sun,     May  30.9. 

*  d  0,                  Dec.    22. 

0  -2.216  +0.98  +1  .899  —4.79 

>JC  d  Mean  Sun,    Nov.  29.5. 

100     2.222+0.15      2.000 

4.09 

200     2.209—0.67      2.083 

3.34 

3UO     2.178      1.48'    2.149 

2.57 

j 

400—2.129—2.28  +2.199—1.77 

! 

! 

190 


SPECIAL  TABLES. 


TABLE  XXIV.-;?  Herculis. 

h    m                                                     °      ' 

E.A.  16  38.4.                       Dec.  +  39  10. 

Upper  transit  at  fictitious  meridian. 

A0a 

AQd 

Side-] 
real      AOa 

AQ<5 

AQa 

AQd 

. 

]M  c  tin  D  fl  v» 

Day. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

1873. 
s               " 

0 

+0.282 

+5.57; 

—0.528 

-2.12 

100 

0.218 

6.21 

0.480 

2.90 

_ 

// 

200 

0.152 

6.80 

0.428 

3.66 

0,  Jan.   0 

—  0.09 

—  1.520 

—   1 

+224 

—  6.99 

4-  2 

—322 

300 

0.085 

7.32 

0.373 

4.38 

10 

+  9.89 

1.273 

1 

267 

10.11 

2 

299 

400 

0.016 

7.79 

0.315 

5.07 

20 

19.86 

0.988 

2 

302 

12.94 

2 

265 

30 

29.83 

0.672 

2 

328 

15.38 

2 

221 

1866. 

1874. 

Feb.  9 

8.80 

—0.335 

2 

344 

17.34 

1 

170 

0 

+0.040 

+7.64 

—0.335 

—4.85 

19 
Mar.   1 
11 
21 

18.78 
0.75 
10.72 
20.69 

+0.013 
0.364 

0.707 
1.038 

3 
3 
2 
2 

351 

348 
338 
323 

18.77 
19.61 
19.83 
19.47 

1 
1 
1 

+  1 

114 
—  53 

+    7 
67 

100 
200 
300 

400 

—0.029 
0.097 
0.165 
0.231 

8.06 
8.41 
8.69 
8.89 

0.275 
0.213 
0.150 

0.085 

5.50 
6.12 

6.68 

7.18 

31 

30.67 

1.350 

2 

300 

18.50 

0 

123 

1867. 

1875. 

100,  Apr  10  |      9.64 
20       19.61 

1.636 
1.891 

2 
2 

271 

239 

17.04 
15.11 

0 

—  1 

171 

213 

0 
100 

—0.209+8.83 
0.2741;    8.98 

—0.107 
—0.042 

-7.02 
7.49 

30 

29.59 

2.112 

I 

203 

12.82 

1 

246 

200 

0.336 

9.05 

+0.024     7.89 

May  10         9.56 

2.296 

—  1 

164 

10.23 

1 

269 

300 

0.395 

9.04 

0.089 

8.23 

20 

19.53 

2.439 

0 

123 

7.48 

1 

281 

400 

0.451  j    8.96 

0.154 

8.50 

30 

29.50 

2.541 

0 

80 

4.64 

1 

286 

1868  B. 

1876  B. 

June  9 
19 

29 

July  9 

8.48 
18.45 
28.42 
8.39 

2.59S 
2.611 
2.580 
2.504 

0 
0 

+  1 

+  35 
—    9 
54 
96 

-  1.79 
+  0.97 
3.57 
5.93 

1 
1 
—  1 

0 

282 
269 
249 
222 

0 
100 
200 
300 

—0.433 
0.486 
0.535 
0.579 

+8.99 
8.86 
8.64 
8.35 

+0.132 
0.196 
0.258 
0.318 

—8.42 
8.64 
8.79 

8.87 

200,          19 

18.37 

2.389 

1 

135 

8.00 

0 

191 

400 

0.61tt 

7.99 

0.375 

8.88 

29 

28.34 

2.235 

2 

173 

9.74 

0 

156 

Aug.  8 

7.31 

2.046 

2 

203 

11.11 

0 

116 

186». 

1877. 

18 
28 

17.29 
27.26 

1.832 

1.598 

3 
3 

226 
244 

12.06 

12.58 

+  1 

74 
+  30 

0 
100 

—0.605 
0.640 

+8.12 
7.71 

+0.356 
0.411 

—8.89 

8.85 

200 

0.670 

7.23 

0.463 

8.73 

Sept.  7 
17 

27 

6.23 
16.20 
26.18 

1.348 

1.097 
0.854 

to  co  co 

252 
249 
237 

12.65 
12.28 
11.45 

<?*<?*  CO 

—  15 

60 
106 

300 
400 

0.694     6.70 
0.712J    6.10 

0.512 

0.556 

8.54 
8.29 

Oct.    7 

6.15 

0.627 

2 

215 

10.17 

3 

150 

1870. 

1878. 

17 

16.12 

0.427 

2 

183 

8.46 

4 

192 

0 

—0.7061+6.31 

+0.541  —8.38 

300,          27 

26.09 

0.264 

2 

141 

6.34 

4 

231 

100 

0.7211    5.68 

0.583     8.08 

Nov.  6 

5.07 

0.148 

2 

91 

3.85 

4 

266 

200 

0.728     5.01 

0.619 

7.71 

16 
26 

15.04 
25.01 

0.083 
0.075 

1 
1 

—  37 
+  22 

+  1.04 
—  2.03 

5 
5 

295 
317 

300 

400 

0.729     4.29 
0.724!    3.54 

0.651      7.27 
0.677     6.77 

Dec.  6 

4.98 

0.127 

+  1 

81 

5.28 

5 

332 

1871. 

1879. 

16 
26 
36 

14.96 
24.93 
34.90 

0.237 
0.405 
+0.622 

0 
0 
—  1 

139 
193 
+240 

8.64 
12.00 
—15.23 

5 
6 
+  6 

338 
331 
—314 

0 
100 
200 

—0.726+3.80 
0.7171     3.03 
0.702!     2.23 

+0.669 
0.691 
0.708 

—6.95 
6.41 

5.82 

300 

0.681 

1.42 

A.-I/W 

0.719 

5.18 

400 

0.654 

0.60 

0.724|     4.49 

1872  B. 

1880  B. 

*  6  0,                 Dec.    2.9. 

;jc  6  Mean  Sun,    Nov.  30.4. 

0 

—0.6641+0.88 

+0.723—4.73 

100 

0.633+0.05 

0.724 

4.02 

200 

0.598—0.77 

0.719 

3.27 

300 

0.557 

1.58 

0.708 

2.49 

400 

—0.512 

—2.38 

+0.690 

—1.69 

1 

SPECIAL  TABLES. 


191 


TABLE  XXIV.-K  Ophiuchi. 

h    m                                                    °      ' 

E.A.  16  51.5.                       Dec.  +  9    35. 

Upper  transit  at  fictitious  meridian. 

A    « 
O 

AQ<J 

Side- 
real 

A^a 

A    d      A    a 

AQ(J 

. 

Day. 

a   |    &a 

ViCcin  Day. 

187O. 

Var.in 

10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

0 

186 
+0.565 

5.  ^                 18' 

-|-5.9:i  —0.837 

r3*/, 
—2.52 

100 

0.487 

6.55 

0.787 

3.30 

g 

// 

200 

0.404 

7.11 

0.730 

4.05 

0,  Jan.  0 

—  0.08 

—1.215 

—  1 

+208 

-  2.42 

0 

—217 

300 

0.318 

7.61 

0.667 

4.76 

10 

+  9.89 

0.990 

1 

242 

4.56 

0 

210 

400 

0.230 

8.0c 

0.599 

5.44 

20 

19.67 

0.734 

2 

267 

6.60 

+  I 

195 

30 

29.64 

0.458 

2 

284 

8.44 

1 

172 

1866. 

1874. 

Feb.   9 

8.81 

-0.168 

2 

295 

10.02 

1 

143 

0 

+0.260 

+7.91 

—0.623—5.22 

19 
Mar.   1 
11 
21 

18.79 
0.76 
10.73 
20.70 

+0.130 
0431 
0.726 
1.011 

2 
2 
3 
3 

301 
299 
291 

280 

11.29 
12.20 
12.70 
12.83 

1 

I 

110 
71 

—  31 

+    8 

100 
200 

300 
400 

0.170 
+0.078 
—0.015 
0.107 

8.30 
8.62 

8.86 
9.03 

0.552 
0.476 
0.397 
0.314 

5.86 
6.45 
6.99 
7.47 

31 

30.68 

1.285 

2 

265 

12.55 

46 

1867. 

1875. 

100,  Apr.  10 
20 

9.65 
19.62 

1.541 
1.779 

2 

1 

247 

227 

11.92 
10.96 

80 
109 

0 

100 

—0.076+8.98 
0.1681    9.10; 

-0.342 

0.258 

—7.32 
7.76 

30 

29.59 

1.994 

1 

203 

9.75 

133 

200 

0.258     9.13 

0.172 

8.13 

May  10 

-9.57 

2.185 

177 

8.31 

152 

300 

0.346     9.08 

—0.084 

8.44 

20 

19.54 

2.347 

— 

148 

6.73 

163 

400 

0.431]    8.96 

+0.004 

8.68 

30 

29.51 

2.480 

116 

5.06 

169 

1868  B. 

1876  B. 

June  9 
19 

K.49 

18.46 

2.579 
2.644 

+ 

82 
47 

3.36 
1.69 

169 
164 

0 

—0.403 

+9.01 

—0.026-8.60 

29 

.28.43 

2.673 

+  12 

—  0.10 

155 

100 

0.465 

8.83  +0.062 

8.79 

July    9 

8.40 

2.668 

—  25 

+  1.39 

2 

142 

200 
300 

0.563 
0.636 

e.5.S      O.loO 
6.25i      0.237 

8.91 
8.96 

200,          19 

18.38 

2.623 

2 

61 

2.73 

2 

125 

400 

0.704 

7.85;     0.321 

8.93 

1^9 

2835 

2.546 

2 

94 

3.88 

2 

105 

Aug.  8 

7.32 

2.437 

2 

123 

4.83 

2 

85 

1869. 

1877. 

18       17.29 
aS       27.27 

2.302 
2.144 

3 
3 

147 
165 

5.57 
6.07 

2 

2 

62 
38 

0 
100 

-0.662+7.99+0.293 
0.745     7.55      0.376 

—8.95 

8.87 

Sept.  7 
17 

27 

6.24 
16.21 
26.18 

1.974 

1.795 
1.623 

3 
3 
3 

176 
177 

168 

6.33 
6.35 
6.11 

2 
2 
3 

+  14 
—  11 

37 

200 
300 
400 

0.802     7.04 
0.851      6.47 
0.8931    5.85 

0.456 
0.533 
0.605 

8.72 
8.50 
8.20 

Oct.    7 

6.16 

1.462 

3 

151 

5.61 

3 

63 

187O.                    1878. 

17 

16.13 

1.323 

2 

125 

4.84 

3 

90 

1 

0 

—0.860+6.06+0.581 

—8.31 

300,          27 

26.10 

1.215 

2 

89 

3.81 

4 

116 

100 

0.917 

5.41 

0.650 

7.97 

Nov.  6 

5.08 

1.147 

2 

48 

2.52 

4 

141 

200 

0.946 

4.71 

0.714 

7.58 

16 

15.05 

1.120 

1 

—    2 

+  0.99 

4 

165 

300 

0.966 

397 

0.772 

7.09 

26 

25.02 

1.143 

+  J 

+  46 

—  0.77 

4 

166 

4U 

0.979 

3.19 

0.824 

6.56 

Dec.  6 

4.99 

1.213 

0 

95 

2.71 

4 

202 

1871. 

1879. 

16 
26 
36 

14.97 
24.94 
34.91 

1.333 
3.497 
+1.700 

0 

—  1 
—  1 

142 

184 
+221 

4.79 
6.95 
-  9.11 

4 
5 
+  6 

213 
217 
—215 

0 

100 
200 

—0.975 
0.962 
0.980 

+3.46 
2.67 
1.86 

+0.807-6.75 
0.855!     6.18 
0.895     5.56 

QTU 

0.970 

1.03 

0.928     4  89 

400 

0.953 

0.9o4i    4.18 

1872  B. 

1880B. 

*  6  ©,                Dec.  5.9. 

#  6  Mean  Sun,     Dec.  3.7. 

0 

—  0.96C'+0.48  +0.946  —4.42 

100 

0.936—  0.35ji    0.966     3.69 

200 

0.9C5J     1.17!    097t     2.91 

30( 

0.660J     1.99      0.982.     2.12 

• 

400 

—0.821—2.78  +0.977.—  1.30 

192 


SPECIAL  TABLES. 


TABLE  XXIV.-rf  Hcrculis. 

h    m                                                      or 

R.A.  16  56.8.                       Dec.  +  33  45. 

Upper  transit  at  fictitious  meridian. 

A0a 

A.d 

' 

Side- 
real 

AQa 

AQCJ 

AQa 

0 

AQ(J 
0 

Day. 

i  Sidereal  Day. 

Mean  Day. 

i 

i 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                   " 

1873. 

s                 " 

0 

+0.366 

+6.07 

—0.606 

—2.68 

100 

0.301 

6.68 

0.560 

3.46 

B 

n 

200 

0.233 

7.23 

0.510 

4.20 

0,Jau.    0 

—  0.07 

—1.471 

0 

+201 

—  5.48 

+  2 

—310 

300 

0.1  (*) 

7.73 

0.456 

4.91 

10 

+  9.90 

1.249 

—  1 

242 

8.50 

2 

292 

400 

0.092 

8.1f> 

0.398 

5.58 

20 

19.87 

0.989 

2 

277 

11.28 

5 

264 

30 

29.84 

0.698 

2 

302 

13.74 

2 

225 

1866. 

1874. 

Feb.    9 

19 
Mar.    1 
11 
21 

8.82 

18.79 
0.76 
10.73 
20.71 

0.387 

—0.061 
+0.269 
0.598 
0.917 

2 

2 

2 
2 
2 

320 

329 
331 
325 
312 

15.76 

17.29 

18.27 
18.67 
18.49 

2 
1 

0 
0 

178 

126 
69 
—  11 
+  45 

0 
100 
200 
300 
400 

+0.116 
+0.044 
—0.029 
0.101 
0.172 

+8.01 
8.39 
8.70 
8.93 
9.08 

—0.4181—5.36 
0.357     5.99 
0.295     6.58 
0.229     7.11 
0.162     7.58 

31 

30.68 

1.220 

2 

295 

17.77 

0 

99 

1867. 

1875. 

i  100,  Apr.  10 
20 

9.65 
19.63 

1.506 
1.765 

2 
2 

273 

246 

16.53 
14.81 

0 
0 

149 
191 

0 
100 

—0.148 
0.218 

+9.04 
9.14 

—0.185—7.43 
0.117     7.88 

30 
May  10 
20 

29.60 
957 
19.54 

1.996 
2.195 
2.357 

1 
1 

215 
181 
144 

12.73 
10.35 

7.77 

1 
1 

224 
249 
266 

200 
300 
400 

0.287 
0.353 
0.416 

9.15 

9.09 
8.95 

—0.048!     8/22 
+0.021      8.51 
0.090     8  74 

30 

29.52 

2.482 

0 

105 

5.06 

—  1 

274 

1868  B. 

1876  B. 

June  9 

8.49 

2.567 

0 

63 

—  2.32 

0 

272 

19 

18.46 

2.609 

0 

+  21 

+  0.36 

0 

263 

0 

—0.395 

+9.01 

j+0.067 

-8.67 

29 

28.43 

2.609 

+  1 

—  21 

2.92 

0 

248 

100 

0.455 

8.82  1     0.135 

8.85 

July   9 

8.41 

2.567 

64 

5.29 

0 

225 

200 

0.512 

8.55      0.203 

8.95 

300 

0.563 

8.20 

0.269 

89^ 

'200,          19 

18.38 

2.482 

1 

105 

7.40 

0 

197 

400 

0.610 

7.79 

0.332 

8.94 

29 

28.35 

2.359 

1 

141 

9.21 

0 

165 

Aug.  8 

733 

2.202 

2 

173 

10.68 

4-  1 

129 

1869. 

1877. 

18 
28 

17.30 
27.27 

2.015 

1.805 

2 

2 

200 
220 

11.78 
12.50 

1 

91 

50 

0 
100 

—  0  595 

0.638 

+7.94 

7.48 

+0.311 
0.373 

—8.96 

8.87 

Sept.  7 
17 
27 

6.24 
16.22 
26.19 

1.579 
1.347 
1.119 

2 
3 
3 

231 
232 
224 

12.78 
12.65 
12.09 

2 
2 
3 

gj 

—  35 

78 

200 
300 
400 

0.676 
0.7U7 
0.733 

6.96 
6.38 
5.74 

0.432 
0.487 
0.539 

8.71 
8.47 
8.16 

Oct.    7 

6,16 

0.903 

2 

206 

11.09 

3 

120 

1870. 

1878. 

17 

16.13 

0.711 

2 

177 

9.69 

3 

161 

0 

—0.725 

+5.96 

+0.522 

—8.27 

'  300,          27 

26.11 

0.552 

2 

140 

7.87 

4 

201 

100 

0.746 

5.29 

0.571 

7.92 

Nov.   6 

5.08 

0.433 

2 

96 

5.69 

4 

236 

200 

0.761 

4.58 

0.615 

7.49 

16 

15.05 

0  31)2 

1 

—  45 

3.17 

4 

266 

300 

0.769 

3.83 

0.654 

7.01 

26 

25.02 

0.345 

+  1 

+  10 

+  0.38 

5 

291 

400 

0.770 

3.05 

0.688 

6.47 

Dec.    6 

5.00 

,  0.382 

0 

65 

—  2.63 

5 

309 

1871. 

1879. 

16 
26 
36 

14.97 
24.94 
34.92 

0.475 
0.622 
+0.816 

0 
0 

T1 

120 
171 
+216 

5.77 
8.96 
—12.06 

6 
6 

+  5 

318 
316 
—303 

0 
100 
200 

—0.771 
0.767 

0.758 

+3.32 
2.52 

1.70 

+0.677 
0.707 
0.731 

-6.60 
6.08 
5.45 

^nn 

0.743 

0.88 

0.749 

4.77 

ouu 

400 

0^721 

+o!o4 

0.762 

4.05 

1872  B. 

1880  B. 

*  6  0,                  Dec.  7.2. 

;jc  6  Mean  Sun,     Dec.  5.1. 

0 

—0.729 

+0.32 

+0.758'—  4.  3a 

100 

0.703 

-0.51 

0.765 

3.55 

200 

0.671 

1.34 

0.767 

2.77 

300 

0.633 

2.15 

0.762 

1.97 

400 

—0.591 

—2.94  +0.751—1.15 

ll 

SPECIAL  TABLES. 


193 


TABLE  XXIV.-*  e  Trsje  Minoris. 

h    m                                                      o      / 

R.A.  16  59.4.                       Dec.  +  82  15. 

Upper  transit  at  fictitious  meridian. 

Aoa 

A    6 

' 

Side- 
real 

AQa 

AQ<5 

AQa 

AQ<5 

Day. 

!  Sidcrcjil  Dsy. 

IVl  c  0.11  D  fly. 

1870. 

Var.inDiff.for 

10  y.       10  d. 

1870.    YuV.11 

Diff.  for 
10  d. 

1865. 

B                     " 

1873. 

8                        " 

! 

0 

—2.263+6.15 

+2.464—2.74 

100 

2.154 

6.76 

2.4471     3.52 

9 

// 

200 

2.025 

7.31 

2.410     4.26 

0,Jan.    0  L-  0.07 

—  9.311+35   +  4981 

-  8.03 

—  9 

—342 

300 

1.879 

7.79 

2.353     4.97 

10    +  9.90 

8.664 

41         792 

11.33 

8 

315 

400 

1.716 

8.21 

2.277J    5.63 

20       19.88 

7.7JI7 

46       1056 

14.30 

7 

277 

30       29.85 

6.565 

50       1280 

16.84 

6 

230 

1866. 

1874. 

Feb.   9 

8.82 

5.193 

52 

1455 

18.86 

5 

174 

0 

—1.773+8.07 

+2.305 

—5.41 

19 
Mar.  1 
11 
21 

18.79 
0.77 
10.74 

20.71 

3.678 
2.068 
—  0.436 
+  1.162 

52 
51 

48 
44 

1572 
1629 
1625 
1561 

20.29 
21.08 
21.21 
20.68 

4 
3 
—  1 

0 

112 
—  46 
+  21 

85 

100 
200 
300 

400 

1.600 
1.413 
1.213 
1.003 

8.45 
8.74 
8.96 
9.10 

2.217 
2.110 

1.986 
1.846 

6.04 
6.62 
7.15 
7.62 

31 

30.68 

2.668 

39 

1442 

19.54 

+  2 

145 

1867. 

1875. 

100,  Apr.  10 
20 

9.66 
19.63 

4.0291    33 

5.2<iO     26 

1273 
1063 

17.82 
15.61 

3 
4 

198 
243 

0 
100 

—1.075 
0.859 

+9.06 
9.16 

+1.8951—7.46 
1.746     7.89 

30 
May  10 

29.60 
9.58 

6.145     18 
6.837!     11 

822 
558 

13.00 
10.09 

5 
5 

278 
305 

200 
300 

0.636 
0.407 

9.17 
9.10 

1  582     8.25 
1.405     8.54 

20 

19.55 

7.257 

+  4 

+  279 

6.97 

6 

318 

400 

0.175 

8.95 

1.216[    8.76 

30 

29.52 

7.394 

—  3 

—      5 

3.76 

6 

323 

1868  B. 

1876  B. 

June  9 
19 

8.49 

18.47 

7.2481     10 
C.824I     16 

287 
558 

-  0.55 
+  2.56 

6 
5 

317 
303 

0 

—0.254+9.01 

+1.281 

—8.69 

29 

28.44 

6.137 

21 

814 

5.48 

4 

281 

100 

—0.021 

8.81 

1.086 

8.86 

July   9 

8.41 

5.203 

25 

1049 

'   8.14 

3 

251 

200 
300 

+0.212 
0.443 

8.53 

8.18 

0.882 
0.6/1 

8.96 
8.99 

200,          19 

18.38 

4.046 

28 

1259 

10.47 

2 

215 

400 

0.669 

7.76 

0.454 

8.94 

29 

28.36 

2.6951    29 

1439 

12.42 

+  1 

174 

Aug.  8 

7.33 

+  1.179 

29 

1587 

13.94 

±1 

130 

1869. 

1877. 

18 

28 

17.30 

27.28 

—  0.467     28 
2.208     26 

1700 
1775 

15.01 
15.59 

2 
4 

83 
+  33 

0 
100 

+0.593 
0.815 

+7.91 
7.44 

+0.527 
0.308 

—8.97 
8.87 

Sept.  7 
17 

27 

6.25 
16.22 
26.19 

4.008 
5.818 
7.606 

22 

18 
12 

1812 

1808 
1761 

15.67 
15.25 
14.32 

6 

8 
9 

-   17 
68 
118 

200 
300 
400 

1.029 
1.234 
1.428 

6.91 
6.33 
5.69 

+0.086 
—0.138 
0.361 

8.70 
8.46 
8.15 

Oct.    7  t      6  16 

9.326 

—  5 

1(572 

12.90 

11 

1(56 

1S7O. 

1878. 

17       1(5.14 

10.936+  2 

1540 

11.02 

12 

211 

0 

+1.364 

+5.91 

—0.286 

—8.26 

300,          27 

2fi.ll 

12.392 

11 

1366 

869 

14 

253 

100 

1.549 

5.24 

0.507 

7.90 

Nov.  6         5.08 

13.655 

19 

1153 

5.96 

15 

290 

200 

1.721 

4.52 

0.725 

7.48 

16       15.06 

14.686 

28 

904 

+  2.90 

16 

321 

300 

1.877 

3.77 

0.9o7 

6.99 

26       25.03 

15.453 

37 

625 

—  0.43 

17 

344 

400 

2.017 

2.98 

1.143 

6.45 

Dec.   6         5.00 

15.929     46 

324 

3.94 

17 

357 

1871. 

1S79. 

16 

26 
36 

14.97 

24.95 
34.9^ 

16.097!    54   —    11 
15.949     62   +  306 
—15.489+68  +612 

7.54       18 
11.12       18 
—14.56   —17 

361 
353 
-333 

0 
100 
200 

+1.971 
2.100 
2.210 

+3.25 
2.45 
1.63 

-1.074 
1.271 
1.46* 

—6.64 
6.06 
5.42 

300 

2.301 

4-0  HI 

1.641 

4.74 

400 

2.373—0.03 

1.804 

4.02 

1872  B. 

1880  B. 

^c  S  Mean  Sun.    June  6.1.                                 I 

• 

*  6  0, 

Dec.  7.8. 

C 

+2.351+0.25 

—1.750 

—4.27 

>jc  6  Mean  Sun.     Dec.  5.7. 

100 

2.409—0.58 

1.904 

3.52 

200 

2.447J 

1.41 

2.043 

2.74 

300 

2.464! 

2.22 

2.165 

1.94 

400 

+2.461—3.01 

—2.269  —  1.12 

13 


SPECIAL  TABLES. 


TABLE  XXIV.-44  Ophiuchi. 

i 

h    m                                                  o      / 

R.A.  17  18.4.                        Dec.  —  24    3. 

Upper  transit  at  fictitious  meridian. 

1 

i 

AQa 

Ao<* 

' 

Side- 
real     ^Qa 

Ap<5 

AQ« 

Ap  6 

Day. 

Sidereal  Day. 

Mean  Day. 

g^-v/i      Ynr.  ill 
1*70.      1()y> 

Diff.  for 
lUd. 

187O. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

K                      " 

J873. 

B                     " 

.. 

0 

+0.795 

+6.61 

—1.114 

—3.33 

100 

0.700 

7.18 

1.056 

4.09 

8 

// 

200 

0.599 

7.69 

0.990 

4.81 

0,  Jan.   0 

—  0.06 

—1.370  —  1 

+221 

+  1  99 

—  2 

—  23 

300!     0.492 

8.13 

0.916 

5.50 

10 

+  9.91 

1.130         2 

256 

1.70 

2 

33 

400     0.381 

8.51 

0.835 

6.13 

20 

19.89 

0.860         2 

285 

1.33 

j 

41 

30 

29.86 

0.51)2         3 

307 

0^9         0 

46 

JM 

>f  )• 

1874. 

Feb.   9 

8.83 

—0.248         3 

321 

+  0.42 

0 

48 

0+0.418 

+8.40 

—  0.863|—  5.92 

19 
Mar.   1 
11 
21 
31 

18.80 
0.78 
10.75 
20.72 
30.69 

+0.078 
0.410 
0.738 
1.064 
1.3ftO 

3 
4 
4 
4 
4 

330 
331 
328 
3&J 
311 

—  006 
0.50 
0.92 
1.28 

1.58 

+  I 
1 
.   1 

2 

47 

44  | 

39  | 
33  i 
27 

100     0.305     8.72 
'200     0.189     8.9? 
300+0.0711     914 
400J—  0.04tt!    9.23 

0.777     6.52 
0.684     7.07 
0.58?     7.56 

0.484     7.98 

1875. 

100,  Apr.  10 
20 
30 
May  10 

9.67 
19.64 
29.61 
9.59 

1.684 
1.972 

2.244 

2.489 

4 
3 

2 
1 

297 

280 
259 
234 

1.82 

1.99 
2.13 
2.24 

3 
3 
3 
4 

20 
15 
12 
11 

Oi—  0.008!+9.21 
100|     0.126,1     9.24 
200     0.243     9.20 
300)    0.358!    9.08 

—  0.519 
0.414 
0.306 
0.195 

—7.85 
8.23 
8.54 

8.78 

20 

19.56 

2.708 

—  1 

205 

2.35 

5 

10 

400 

0.470 

8.88 

0.082 

8.95 

30 

29.53 

2.898 

0 

173 

2.44 

5 

10 

1868  B. 

1876  B. 

June  9 

8.50 

3.053 

0 

137 

2.54 

4 

12  !1 

19 

18.48 

3.172 

+  1 

99 

2.68 

4 

14  1       0 

—0.433 

+8.95 

—0.120—8.90 

29 

28.45 

3.251 

57 

2.82 

4 

15      100 

0.542 

8.70 

—0.008 

9.02 

July  9 

8.42 

2 

+  14 

2.99 

4 

16 

2CO 

0.646 

8.3? 

+0.106 

9.07 

300 

0.744 

7.97 

0.218 

9.04 

200,           19 

18.39 

3.280 

3 

—  28 

3.14 

4 

16  !   400 

0.836 

7.50 

0.328 

8.94  i 

29 

28.37 

3.231 

3 

C9 

3.31 

4 

15 

Aug.  8 

7.34 

3.144 

3 

105 

3.44 

4 

11 

I860. 

1877. 

18 
28 

17.31 

27.29 

3.023 

2.872 

4 
4 

137 
162 

3.53 
3.56 

4 
4 

0 

0 
100 

—0.806+7.66 
0.893J    7.10 

+0.292 
0.40C 

—8.98 
8.83 

Sept.  7 
17 

27 

6.26 
16.23 
26.20 

2.701 
2.520 

2.338 

4 
4 
4 

177 

183 
179 

3.53 
3.42 
3.24 

3 
3 

3 

14 

22 

200 
300 
400 

0.97* 
1.042 
1.103 

6.5? 
5.94 
5.26 

0.506 
0.60h 
0.705 

8.60  i 
8.30 
7.94 

Oct.    7 

6.18 

2.165 

4 

164 

2.99 

3 

27 

1870. 

1878. 

17 

16.15 

2.013 

3 

138 

2.71 

3 

29 

0 

—1.083+5.50 

+0.6731—807 

300,         27 

26.12 

1.893 

3 

102 

2.41 

3 

30 

100 

1.138 

4.75J 

0.766 

7.66 

Nov.  6 

5.09 

1.812 

3 

58 

2.11 

3 

29 

200 

1.182 

4.04 

0.8i)3l     7.18 

16 

15.07 

1.778 

2 

—    9 

1.83 

3 

24 

300 

1.217 

3.26 

0.933 

6.65 

26 

25.04 

1.795 

2 

+  43 

.63 

3 

16 

400 

1.241 

2.45 

1.000 

6.06 

Dec.   6 

5.01 

1.865 

-f  1 

97 

.51 

3 

+    7 

1871. 

1879. 

16 
26 
36 

14.99 
24.96 
34.93 

1.988 
2.159 
+2.374 

0 
0 

—  1 

148 
194 
+235 

.50 
.60 
—    .80 

3 
3 

+  3 

—    4 
15 

—  27 

0 
100 
200 

—1.234 
1.251 
1.257 

+2.73 
L07 

+0.982 
1.050 
1.109 

—6.26 
5.64 
496 

30( 

1.252 

+0.23 

1.158 

4.24 

400 

1.237 

~|-  V  •  «,  9J 

—0.62 

3.48 

1*72  B. 

1880  B. 

•K  6  0,                 Dec.  12.1. 

#  c5  Mean  Sun,     Dec.  10.6. 

0 

—1.2431—0.33 

+  1.186—3.74 

lot 

1.22) 

1.17 

1.220 

2.97 

20( 

1.189 

1.99 

1.243 

2  16 

301 

1.147 

2.8U 

1.256 

1.33 

401 

—  1.096J—  3.5fe  +  i.2ob—  0.50 

SPECIAL  TABLES. 


195 


TABLE  XXIV.—  p  Draeonis. 

h    ra                                                    o      / 

R.A.  17  27.5.                       Dec.  +  52  24. 

Upper  transit  at  fictitious  meridian. 

AQa 

AQd 

Side- 
real      Aoa 

*lt 

i 

AQ<* 

. 

1 

;Day 

I 

187O. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in  Diff.  for 
10  v.       10  d. 

F 

1865. 

8                     " 

1873. 

B                      " 

| 

0+0.189 

+6.821—  0.351 

—3.58 

100     0.146 

7.37!;     0.319 

4.34 

g 

// 

200     0.103 

7.87      0.285 

5.05 

0,  Jan.    0  ;—  0.05 

-2.123 

0 

+170 

—  5.15 

+  2 

—353      300     0.058 

8.29      0.249 

5.72 

Id   +  9.92 

1.922 

—   1 

2:32 

8.61 

2 

336      400     0.013 

8.64 

0.211 

6.34  i 

20 

19.89 

1.663 

1 

287 

11.84 

2 

307 

30 

29.87 

1.351 

1 

334 

14.71 

266 

1866. 

1874. 

Feb.    9 

19 
Mar.    1 
11 
21 

8.84 

18.81 

0.78 
10.76 
20.73 

0.998 

0.614 
—0.210 
+0.202 
0.613 

1 

2 
2 
2 
2 

370 

396 
410 
413 

407 

17.13 

19.00 
20.25 

20.88 
20.83 

0 

216 

157 
94 
—  29 

+  38 

0+0.028 
100—0.017 
200     0.062 
300     0.107 
400j    0.150 

+8.53  —0.224 
8.83;    0.184 
9.06      0.143 
9.20|     0.101 
9.27      0.059 

—6.14 
6.72 
7.25 
7.72 
8.13 

31 

30.70 

1.013 

2 

390 

20.13 

0 

100 

1867. 

1875. 

100,  Apr.  10 
20 
30 

9.67 
19.65 
29.62 

1.390 
1.7?7 
2.046 

2 
2 
2 

363 

329 
289 

18.84 
16.99 
14.68 

0 
0 
0 

158 
209 
252 

0 
100 
200 

-0.135 

0.178 
0.220 

+9.25 
9.27 
9.20 

—0.073  —8.00 
—0.0301    8.36 
+0.0131    8.65 

May  10 

9.59 

2.313 

1 

242 

11.98 

—  1 

286 

300 

0.259 

9.05 

<>.0f6'    8.87 

20 

19.56 

2.529 

1 

189 

8.99 

1 

309 

400 

0.296 

8.82 

0.099|    9.01 

30 

29.54 

2.690 

—  1 

134 

5.83 

1 

322 

1868  B. 

1876  B. 

June  9 

8.51 

2.796 

0 

75 

—  2.58 

1 

326 

19 

18.48 

2.839 

0 

+  15 

+  0.65 

1 

320 

0 

—0.284  +8.91 

+0.085 

—8.97 

29 

28.46 

2.825 

+  1 

—  44 

3.79 

305 

100 

0.319 

8.63 

0.127 

9.07 

July  9 

8.43 

2.751 

104 

6.73 

o 

283 

200 

0.351 

8.27 

0.168 

9.09 

300 

0.381 

7.85 

0.207 

9.04 

200,          19 

18.40 

2.618 

1 

160 

9.42 

0 

254 

400 

0.407 

7.35 

0.245 

8.91 

29 

28.37 

2.433 

1 

211 

11.78 

0 

219 

Aug.  8 

7.35 

2.198 

2 

258 

13.78 

0 

179 

1869. 

1877. 

18 
28 

17.32 
27.29 

1.920 
1.610 

2 
2 

295 
324 

15.35 
16.48 

0 

+  1 

135 

88 

0—0.398 
100     0.422 

+7.53 
6.99 

+0.2331—8.96 
:    0.269|     8.79 

Sept.  7 
17 
27 

6.26 
16.24 
26.21 

1.275 
0.924 
0.572 

2 
2 
2 

345 
354 
349 

17.11 
17.25 

16.88 

1 

2 
2 

+  39 
—  11 
61 

200     0.442 
300     0.458 
400     0.470 

6.40 
5.75 
5.05 

i    0.304     8.54 
i    0.336!    8.22 
i    0.366!    7.83 

Oct.    7 

6.18 

+0.230 

2 

333 

16.03 

2 

112 

1870. 

1878. 

17 

16.16 

—  O.U90 

2 

305 

14.63 

2 

162 

0—0466+5.29 

+0.356 

—7.97 

'  300,          27 

26.13 

0.376 

2       265 

12.78 

3 

209 

100 

0.475 

4.57 

0.383 

7.54 

Nov.   6 

5.10 

0.616 

2       213 

10.45 

3 

252 

200 

0.481 

3.80 

0.408 

7.04 

16 

15.07 

0.800 

2       153 

7.74 

3 

289 

300 

0.482 

3.01 

0.429 

6.49 

26 

25.  f  5 

0.921 

1  i      87 

4.68 

4 

321 

400 

0.479 

2.19 

0.446 

5.87 

Dec.   6 

5.02 

0.973 

1  |—  17 

+  1.34 

4 

344 

1871. 

1879. 

16 
26 
36 

14.99 
24.96 
34.94 

0.955 
0.864 
—0.704 

i    | 

0 
0 

+  55 
126 
+192 

-  2.17 

5.76 
—  9.31 

4 
4 

4-  4 

357 
359 
—349 

0 
100 
200 
300 

—0.480+2.47 
0.474     1.64 
0.464+0.80 
0  451      rt  n/l 

+0.441 
0.456 
0.467 
0  47  ^ 

—6.09  ) 
5.44  I 
4.75 
4  02  ' 

400 

0.433 

0.89 

u.  *«  /  o 

0.478 

1.  \f£ 

3.25 

1872  B. 

188O  B. 

*  6  0,                 Dec.  14.1. 

*  6  Mean  Sun,     Dec.  12.9. 

0 

—0.440—0.60 

4-0.4781—3.51 

100 

0.420]     1.44 

0.479     2.72 

200 

0.396     2.26 

0.475 

1.91  j 

300 

0.370     3.07 

0.466 

1.08 

400  —0.340—  3.84 

+0.457—  U.23 

I                          : 

196 


SPECIAL  TABLES. 


TABLE  XXIV.—*  «  Draconis. 

h    m                                                     °      ' 

R,A.  17  37.7.                        Dec.  4-  68  49. 

Upper  transit  at  fictitious  meridian. 

AQa 

II  Side- 
A0(J                      real 

AQa 

AQ(J 

AQa 

AQ<5  1 

Vl/ 

Day. 

Sidereal  Day. 

lean  Day. 

187O. 

Var.  in 
10  y. 

D3ff.  for 
lOd. 

1870. 

Var.  in 
10  y. 

Dlff.  for 
10  d. 

1865. 

8                     " 

1873. 

s               " 

0 

—0.197 

4-7.04 

4-0.179 

-3.87 

100 

0.196 

7.58 

0.185 

4.61 

K 

H 

200 

0.193 

8.05 

0.190 

5.31 

0,Jan.    0 

—  0.04 

-3.652 

4~ 

4-162 

—  4.83 

—   1 

—363 

300 

0.188 

8.44 

0.193 

5.95 

10 

4-  9.93 

3.433 

275 

8.39 

—  1 

346 

400 

0.182 

8.77 

0.194 

6.57 

'    20 

19.90 

3.106 

378 

11.71 

0 

317 

30 

29.88 

2.682 

468 

14.69 

0 

277 

1866. 

1874. 

Feb.    9 

8.85 

2.176 

542 

17.21 

0 

226 

0 

—0.184 

4-8.67 

4-0.1941—  6.37 

19 
Mar.   1 
11 
21 

18.82 
0.79 
10.77 
20.74 

1.605 

0.988 
—0.347 
4-0.298 

597 
632 
647 
641 

19.18 
20.54 
21.23 
21.25 

0 
0 
0 
0 

167 
103 
—  35 

4-  32 

100 
200 
300 
400 

0.177 
0.168 
0.157 
0.146 

8.94 
9.14 
9.26 
9.29 

0.1  94|     6.94 
0.192     7.45 
0.189     7.89 
0.185]     8.28 

31 

30.71 

0.929 

616 

20.59 

0 

98 

1867. 

1875. 

100,  Apr.  10 
20 

9.68 
19.66 

1.524 

2.068 

572 
513 

19.31 
17.45 

0 
0 

158 
212 

0 
100 

-0.150 
0.137 

H-9.29 
9.2? 

4-0.187 
0.181 

—8.15 

8.49 

30 

29.63 

2.546 

+  i 

440 

15.10 

0 

257 

200 

0.123 

9.18 

0.174 

8.76 

May  10 

9.60 

2.945 

0 

356 

12.35 

0 

293 

300 

0.1  08 

9.00 

0.166 

8.95 

20 

19.58 

3.255 

0 

263 

9.28 

0 

319 

400 

0.09^ 

8.74 

0.156 

9.07 

30 

29.55 

3.469 

0 

164 

6.01 

0 

334 

1868  B. 

1876  B. 

June  9 
19 

8.52 
18.49 

3.58-i 
3.592 

0 
0 

4-62 
—  41 

—  2.64 
4-  0.74 

0 
0 

339 
334 

C 

—0.098 

4-8.84 

4-0.159 

—9.04 

29 

28.46 

3499 

0 

143 

4.02 

0 

321 

100 

0.081 

8.53 

0.149 

9.11 

July  9 

8.44 

3.307 

—  1 

241 

7.13 

0 

299 

200 
300 

0.064 
0.047 

8.15 

7.70 

0.137 
0.124 

9.10 

9.02 

200,          19 

18.41 

3.019 

1 

333 

9.98 

0 

270 

400 

0.029 

7.18 

0.110 

8.87 

29 

2838 

2.644 

1 

417 

12.52 

0 

236 

Aug.  8 

7.36 

2.189 

1 

490 

14.68 

0 

195 

1869. 

1877. 

IS 

28 

17,33 

1.667 
1.091 

1 
—  1 

551 
599 

16.41 
17.68 

0 
0 

151 
103 

C 

100 

—0.035 
—0.017 

4-7.36 

6.8U 

4-0.115 

0.100 

—8.93 

8.73 

Sept.  7 
17 
27 

6.27 
16.25 
26.22 

4-0.474 

—0.166 
0.812 

0 
0 
0 

631 
646 
644 

18.45 
18.71 
18.45 

0 

0 
0 

4-  52 
0 
—  53 

200 
300 
400 

4-0.002 

0.020 
0.038 

6.19 
5.52 

4.80 

0.085 
0.06"8 
0.051 

8.45 
8.11 
7.69 

Oct.    7 

6.19 

1.448 

0 

623 

17.66 

— 

106 

1870. 

1878. 

17 

16.16 

2.052 

4-  i 

584 

16.34 

157 

0 

4-0.032 

4-5.05 

4-0.057 

—7.84 

300,          27 

26.14 

2.609 

i 

526 

14.52 

2C6 

100 

0.049 

4.31 

0.040 

7.38 

Nov.  6 

5.11 

3.100 

i 

452 

12.22 

252 

200 

0*067 

3.53 

0.023 

6.86 

16 

15.08 

3.508 

i 

363 

9.50 

292 

300 

0.083 

2.73 

4-o.ooc 

6.29 

26 

25.06 

3.820 

2 

260 

6.41 

325 

4UO 

o.oua 

1.90 

—0.013 

5.66 

Dec.   6 

5.03 

4.025 

2 

148 

4-  3.04 

349 

1871. 

1879. 

16 
26 
36 

15.00 
24.97 
34.95 

4.115 

4.086 
—3.938 

2 
2 

4-2 

—  31 

-f  89 
4-2C9 

—  0.54 

4.20 

—  7.84 

1 
1 
—  1 

364 
367 
—358 

C 
100 
200 

4-0.  094  J4-2.1  8 
0,109     1.34 
0.123^4-0.50 

—0.007 
0.025 
0.043 

—5.88 
5.2! 
4.51 

300 

OJ3?  o.3f 

0.060!     3.76 

40( 

0.149     1.19 

1872B. 

1880B. 

5fc  S  Mean  Sun,     June  15.8. 

#  d  ©,                  Dec.  16.5. 

( 

4-0.145 

-0.91 

—0.071 

—3.24 

>j<  c5  Mean  Sun,     Dec.  15.4. 

10( 

0.156 

1.74 

0.088 

2.44 

200 

0.166 

2.5( 

0.103 

1.62 

30( 

0.175 

3.36 

0.118 

—0.78 

400 

4-0.182 

—4.12 

-0.132 

4-0.07 

SPECIAL  TABLES. 


197 


TABLE  XXIV.—  ft  Herculis. 

h    m                                                    °      ' 

R.A.  17  41.4.                        Dec.  +27  4& 

Upper  transit  at  fictitious  meridian. 

AQa 

AQd 

Side- 
real 

A^a 

A0<5 

AQa 

A    A\ 

Day. 

SiucTCcil  Dtiy. 

M.o£m  Dny. 

187O      V:ir-hl 

Diff.  for 

1  \^~*4\ 

Var.h 

Diff  for 

1865. 

1873. 

10  d. 

M.&  4  "• 

10  y. 

10  d. 

8 

a 

8 

// 

[ 

0 

+0.468+7.12 

—0.6941—3.97 

100 

0.403 

7.04 

0.653 

!4.71  . 

8 

// 

200 

0.335 

8  10 

0.605 

5.41 

0,  Jan.   0 

—  0.04 

—1.475 

0 

+  153 

—  3.00 

+   1 

—  2£9 

300 

0.263     8.49 

0.554 

6.06 

10 

+  993 

1.300  |—  1 

196 

5.85 

2 

280 

400 

0.190 

8.81 

0.497,    6.65 

20 

19.90 

1.086 

1 

231 

8.57 

2 

262 

30 

29.87 

0.840 

2 

260 

11.05 

2 

232 

I860. 

1874. 

Feb.  9 

8.85 

0.569 

2 

282 

13.18 

2 

193 

0 

+0.215 

+8.71 

—0.517 

—6.46 

19 
Mar.   1 
11 
21 

18.82 
0.79 
10.77 
20.74 

-0.278 
f  0  027 
0.337 
0.646 

2 
2 
3 
3 

299 
309 
310 

308 

14.89 
16.12 
16.82 
16.98 

1 
1 
1 
1 

148 
96 
-  43 
+  11 

100 
200 
300 
400 

0.140 
+0.063 
—0.013 
0.090 

8.9S 
9.16 

9.27 
9.30 

0.457      7.02 
0.395:     7.52 
0.329     7.96 
0.260     8.33 

31 

30.71 

0.952 

2 

301 

16.61 

+  1 

64 

1867. 

IS1 

75. 

100,  Apr  10 

9.68' 

1.246 

2 

287 

15.72 

0 

113 

0 

—0.064 

+9.3C 

—0.284—8.21 

20 

19.66 

1.525 

2 

269 

14.36 

0 

156 

100 

0.140 

9.27 

0.214 

8.54 

30 

29.63 

1.783 

2 

246 

12.62 

0 

193 

200 

0.215 

9.16 

0.142 

8.80  ; 

May  10 

9.60 

2.016 

1 

219 

10.53 

—  1 

223 

300 

0.288 

8.97 

—0.069 

8.98 

20 

19.57 

2.221 

1 

188 

8.18 

1 

244 

400 

0.359 

8.71 

+0.004 

9.09 

30 

29.55 

2.392   —  1 

153 

5.67 

—  1 

257 

1868  B. 

1S76  B. 

June  9 
19 
29 
July  9 

8.52 
18.49 

28.47 
8.44 

2.527 
2.623 
2.675 
2.686 

0 
0 
0 

-f-  1 

116 
74 
+  32 
—  11 

3.07 
—  0.46 
+  2.07 
4.49 

0 
0 
0 
0 

262 
258 
248 
232 

0 
100 

200 
300 

—  0.330-  —  ! 
0.404     8.49 
0.469     8.  10 
0.5291    7.64 

—0.021—9.06 
+0.053     9.12 
0.1251    9.K1 
0.197     9.01 

200,          19 

18.41 

2.653 

2 

54 

6.70 

0 

210 

400 

0.58o!    7.11 

0.268J     8.85 

£9 

28.38 

2.579 

2 

94 

8.68 

+  1 

184 

Aug.  8 

7  36 

2.466 

2 

131 

10.37 

154 

186M. 

1877. 

18 
28 

17.33 

27.30 

2.318 
2.141 

2 
3 

163 

190 

11.74 
12.76 

1 
1 

120 

84 

0 

100 

-0.567 
0.619 

+7.3C 
6.73 

-j-0.244—  8.91 
0.313     8.70 

Sept.  7 

6.27 

.940 

3 

209 

13.42 

2 

47 

200 
300 

0666 
0.707 

6.11 

0.379 
0.443 

8.41 
8.06 

17 

27 

16.25 
26.22 

.727 
.508 

3 
3 

218 
218 

13.69 
13.57 

2 
2 

+    8 
—  32 

400 

0.742 

4.'71 

0.503 

7.63 

Oct.    7 

6.19 

.295 

3 

207 

13.05 

3 

73 

1870.         ; 

1878. 

17 

16.16 

.098 

3 

186 

12.12 

3 

112 

0 

—0.731 

+4.96 

+0.483—7.7- 

300,          27 

26.14 

0.926 

2 

157 

10.81 

3 

150 

100 

0.761 

4.21 

0.540 

7.32 

Nov.  6 

5.11 

0.786 

2 

119 

9.12 

4 

187 

200 

0.78: 

343 

0.593 

6.79 

16 

15.08 

0.689 

1 

75 

7.08 

4 

220 

300 

0.802 

2.6* 

0.641 

6.20 

26 

25.06 

0.637 

1 

—  27 

4.75 

4 

249 

900 

0.812 

1.791 

0.68T. 

5.57 

Dec.  6         5.03 

0.636  |+  1 

+  24 

+  2.14 

5 

271 

1871. 

1879. 

16       15.00 
26       24.97 
36       34.95 

0.685 
0.784 
+0.931 

0 
0 
—  1 

74 
123 

+169 

-  0.64 
3.53 
-  6.44 

6 
6 
+  6 

285 
292 

—288 

0 
100 
200 

—0.810+2.071 
0.815     J.2:; 
0.814+0.3S 

+0.670—5.79 
0.710     5.12 
0.743     4.4U 

% 

300 

0.8C6 

0  46| 

()  771 

3  65 

400 

0.791 

1.30' 

0.79: 

•J.  \JvJ 

2.86 

1872  B. 

1880  B. 

*  6  0,                  Dec.  17.3. 

5fc  6  Mean  Sun,     Dec.  16.4. 

0—0.796—1.02 

+0.785:—  3.13 

100     0.777 

1.86 

0.802 

2.33 

* 

200     0.751 

2.67 

0.812 

1.50 

300 

0.719 

346! 

0.815 

—  0.66 

400  —0.681 

—  4.2'> 

+0.811 

+0.19 

198 


SPECIAL  TABLES. 


TABLE  XXIV.—  *vlJ5raconis. 

h    m                                                       °      ' 

E.A.  17  44.3.                       Dec.  +72  13. 

i 

Upper  transit  at  fictitious  meridian. 

A0a 

*0" 

Side- 
real 
Day. 

*Q° 

^ 

*a« 

I 

Sidereal  Day. 

Mean  Day. 

870. 

\&r.  in 
lOy. 

Diff.  for 
10  d. 

187O. 

7ar.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

H                      " 

1873. 

8                      " 

0 

—0.323 

+7.18 

+0.384 

—4.05 

100 

0.306 

7.70 

0.376 

4.78 

// 

200 

0.281 

8.15 

0.365 

5.47 

0,  Jan.  0 

—  0.04. 

.353 

+  2 

+147 

—  4.31 

-  I 

—363 

300 

0.254 

8.53 

0.351 

6.11 

10 

+  9.93 

.137 

2 

283 

7.88 

1 

348 

400 

0.225 

8.84 

0.334 

6.71 

20 

19.91 

.791 

3 

408 

11.23 

1 

321 

30 

29.88 

326 

3 

519 

14.25 

1 

282 

1866. 

1874. 

Feb.   9 

8.80 

.760 

3 

611 

16.83 

1 

233 

0 

—0.234 

+8.75 

+0.340 

—6.51 

19 
Mar.   1 
11 
21 

18.82 
0.80 
10.77 
20.74 

.112 

.405 
.663 

.088 

3 
4 
4 
4 

682 

728 
751 

748 

18.88 
20.32 
21.10 
21.20 

1 
1 
—  1 

0 

175 
111 

—  45 
+  23 

100 
200 
300 
400 

0.205 
0.172 
0.138 
0.103 

9.00 
9.18 
9.28 
9.30 

0.322 
0.301 
0.277 
0.251 

7.07 
7.57 
8.00 
8.36 

31 

30.72 

.824 

3 

721 

20.64 

0 

88 

1867. 

1875. 

100,  Apr.  10 
20 

9.69 
19.66 

.523 
163 

3 

3 

673 

604 

19.45 

17.68 

0 
0 

149 

204 

0 
100 

—0.115 
0.080 

+9.30 
9.27 

+0.260 
0.233 

—8.25 
8.57 

30 

29.63 

.726 

2 

519 

15.40 

+  1 

250 

200 

0.043 

9.15 

0.204 

8.82 

May  10 

9.61 

.196 

2 

419 

12.71 

1 

287 

300 

-0.006 

8.95 

0.173 

8.99 

20 

19.58 

.561 

1 

309 

9.70 

1 

314 

400 

+0.030 

8.68 

O.J41 

9.10 

30 

29.55 

.811 

4-  1 

191 

6.47 

1 

330 

1868  B. 

1876  B. 

June  9 
19 

29 

July    9 

8,52 
18.50 
28.47 
8.44 

.942 
.951 
.837 
.604 

0 
—  1 
1 

I 

+  70 
-  53 
174 
290 

—  3.13 
+  0.24 
3.52 
6.64 

1 
1 
1 
1 

337 
334 
322 
301 

0 
100 
200 
300 

+0.0181+8.78 
0.055     8.46 
0.09  i     806 
0.126     7.59 

+0.152 
0.119 

0.085 
0.051 

—9.07 
9.12 
9.10 
9.00 

200,          19 

18.42 

.259 

2 

399 

9.53 

1 

274 

400 

0.1601    7.06 

0.015 

8.83 

29 
Aug.  8 

28.39 
7.36 

.809 
266 

2 
2 

499 

586 

12.10 
14.31 

+  1 

0 

240 
201 

1869. 

1877. 

18 

17.33 
27.31 

.642 
.952 

2 
2 

660 
717 

16.10 
17.44 

0 
0 

157 
110 

0 
100 

+0.148 
0.182 

+7.25 
6.67 

+0.027 

-0.008 

—8.90 

8.68 

200 

0.213 

6.04 

0.043 

8.39 

Sept.  7 

6.28 

-0.214 

2 

757 

18.29 

—  1 

60 

30( 

0.243 

5.36 

0.078 

8.02 

17 

16.25 

.555 

2 

777 

18.63 

1 

+    8 

400 

0.270 

4.64 

0.112 

7.60 

27 

26.22 

.333 

2 

777 

18.44 

1 

—  45 

Oct.    7 

6.20 

.102 

2 

756 

17.73 

2 

98 

1870. 

1878. 

17 

16.17 

2.838 

—  1 

714 

16.49 

2 

150 

0 

+0.261 

+4.89 

—0.101 

—7.75 

i  300,          27 

26.14 

3.522 

0 

650 

14.75 

2 

199 

10( 

0.287 

4.14 

0.135 

7.28 

Nov.  6 

5.12 

4.132 

0 

566 

12.53 

2 

245 

200 

0.310 

3.35 

0.16? 

6.74 

16 

15.09 

4.648 

+  1 

465 

9.88 

3 

•  285 

300 

0.331 

2.54 

0.1  99 

6.15 

26 

25.06 

o.056 

348 

6.b5 

3 

320 

400 

0.348 

1.71 

0.229 

5.51 

Dec.   6 

5.03 

o.340 

2 

218 

+  3.51 

3 

346 

1871. 

1879. 

26 
.      36 

15.00 
24.98 
34.95 

5.490 
).500 

2 
3 

4-3 

—  81 
+  60 
+  199 

—  0.03 
3.68 
—  7.31 

3 
3 
—  3 

361 
366 
—359 

0 
100 
200 

+0.343 
0  358 
0.371 

+1.99 

i.ir 

+0.30 

—0.219 

0.248 
0.274 

£-       WO 

5.'  06 
4.34 

300 

0,380 

—  0.5f 

0.299 

358 

40(J 

0.386|     1.39 

0.321 

2.80 

1873  B. 

188OB. 

•%.  8  Mean  Sun,     June  17.5. 

*  6  ©,                  Dec.  17.9. 

f 

+0.38f 

—1.10 

—0.314 

—3.07 

3JC  6  Mean  Sun,     Dec.  17.1. 

lOf 

0.38S 

1.94 

0.334 

2.26 

20( 

0.39C 

2.75 

0.352 

1.43 

30( 

0.38? 

3.54 

0.366 

—0.59 

400+0.381 

—4.30 

—0.378+0.26 

SPECIAL  TABLES. 


199 


TABLE  XXIV.-y2  Sagittarii. 

h    m                                                      01 

E.A.  17  57.5.                       Dec.  —  30  25. 

Upper  transit  at  fictitious  meridian. 

AQa 

AQ(J 

Side- 
real 

A^a 

A    rf 

AQ« 

A^ 

\ZJ 

Day. 

Slue  TO  til  D«iy« 

1870. 

Var.  in 

iuy. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

s              " 

1873. 

8                       " 

0 

+0.799 

+7.43 

—1.151—4.41 

100 

0.696 

7.92 

1.086 

5.12 

s 

// 

200 

0.587 

8.34 

1.013 

5.80 

0,Jan.    0 

—  0.03 

—1.521 

0 

+  191 

+     .07 

—  3 

+  34 

300 

0.473 

8.69 

0.932 

6.42 

10 

+  9.94 

1.308 

—  1 

233 

.37 

3 

26 

400 

0.354 

8.97 

0.843 

6.98 

20 

19.91 

1.058 

2 

268 

.59 

2 

18 

30 

29.89 

0.775 

3 

295 

.74 

2 

11 

1866. 

1874. 

Feb.    9 

8.86 

0.470 

3 

316 

.82 

1 

6 

0 

+0.395 

+8.88 

—0.874 

—6.80 

19 
Mar.    1 
11 
21 

18.83 
0.80 
10.78 
20.75 

—0.144 
+0.192 
0.535 

0.881 

4 
4 
4 
4 

332 
340 
345 
345 

.87 

.87 

!83 

—  1 

0 
0 
+  1 

+    2 

2 

3 

100 
200 
300 
400 

0.274 
0.151 
+0.026 
—0.099 

9.10 
9.25 
9.31 
9.29 

0.780 
0.680 
0.575 
0.465 

7.33 
7.79 
8.19 
8.53 

31 

30.72 

1.224 

4 

340 

.79 

2 

4 

1867. 

1875. 

100,  Apr.  10 
20 
30 

9.69 
19.67 
29.64 

1.560 

1.885 
2.196 

4 
3 
3 

331 
319 

302 

.75 

68 
.59 

2 
3 
4 

6 
8 
11 

0 
100 
200 

-0.057 
0.181 
0.304 

+9.31 
9.23 

9.08 

-0.503;-8.42 
0.391     8.71 
0.275     8.92 

May  10 

9.61 

2.487 

2 

280 

.45 

4 

16 

300 

0.424 

8.85 

0.158     9.06 

20 

19.59 

2.754 

2 

253 

1.27 

4 

22 

400 

0.540 

8.54 

0.0391    9.13 

30 

29.56 

3.992 

1 

222 

1.02 

5 

28 

1868  B. 

1876  B. 

June  9 

8.53 

3.196 

—  1 

186 

0.70 

5 

35 

19 

18.50 

3.362 

0 

145 

+  0.32 

5 

41 

0 

-0.501 

+8.65 

—0.079 

—9.11 

29 

28.48 

3.485 

+  i 

99 

—  0.12 

5 

47 

100 

0.614 

8.29 

+0.040 

9.13 

July   9 

8.45 

3.560 

52 

0.60 

6 

50 

200 

0.722 

7.86 

0.159 

9.07 

300 

0.823 

7.36 

0.276 

8.94 

200,          19 

18.42 

3.589         2 

+    5 

1.11 

6 

51 

400 

0.916 

6.80 

0.392 

8.73 

29 

28.39 

3.571 

2 

—  41 

162 

6 

50 

Aug.  8 

7.37 

3.507 

3 

85 

2.11 

5 

47 

1869. 

1877. 

18 
28 

17.34 
27.31 

3.402 
3.260 

3 
4 

124 
157 

2.55 

2.92 

5 
4 

41 
32 

0 
100 

-0.836+7.00 
0.974     6.39 

+0.353 
0.467 

—8.81 
8.55 

Sept.  7 
17 
27 

6.29 
1626 
2623 

3.090 
2.902 

2.705 

4 
4 
4 

180 
194 
197 

3.J8 
3.33 
3.33 

4 
4 
4 

21 

—    8 
+    6 

200 
300 
400 

1.054     5.74 
1.123     5.04 
1.184     4.29 

0.577 
0.682 

.    0.781 

8.22 
7.83 
7.37 

Oct.    7 

6.20 

2.511 

4 

188 

3.21 

4 

19 

187O. 

1878. 

17 

16.18 

2.332 

4 

168 

2.96 

3 

31 

0 

—1.165+4.55 

+0.7481—7.53 

300,          27 

26.15 

2.179 

4 

136 

2.59 

3 

42 

100 

1.219 

3.78 

0.844     7.03 

Nov.   6 

5.12 

2.063 

3 

95 

2.13 

3 

49 

200 

1.262 

2.98 

0.933     6.47 

16 

15.09 

1.991 

3 

—  48 

1.62 

2 

53 

300 

1.293 

2.16 

1.014     5.85 

26 

25.07 

1.968 

2 

+    4 

1.07 

2 

55 

400 

1.314 

1.32 

1.087!    5.18 

Dec.    6 

5.04 

1.999 

+  1 

59 

0.53 

2 

52 

1871. 

1879. 

16 
26 
36 

15.01 
24.98 
34.96 

2.085 
2.221 
+2.407 

0 
0 
0 

111 
161 

+207 

-  0.04 
+  0.40 
+  0.76 

2 

2 
+  2 

47 
40 
+  32 

0 
100 
200 

—1.309 
1.322 
1.324 

+1.60 
+0.75 
—0.10 

+1.064 
1.131 
1.189 

—5.41 
4.71 

3.98 

OfU"i 

1  QirL 

n  QJ 

1  9*1** 

3  on 

400 

J.O1O 

1.294 

L78 

h275 

.  *£U 

2.40 

1872  B. 

1880  B. 

*  6  ©,                 Dec.  20.9. 

*  6  Mean  Sun,     Dec.  20.4. 

0 

—1.302'—  1.50 

+].264i—  267 

100 

1.275     2.33 

1.295 

1.85 

200 

1.237     3.13 

1.315     1.13 

300 

1.1881    3.91 

1.324—017 

400 

—1.130—4.65 

+1.322+0.68 

200 


SPECIAL  TABLES. 


TABLE  XXIV.-^Sagittarii. 

h    m                                                    °      ' 

R.A.  18    6.0.                       Dec.  —  21    5. 

Upper  transit  at  fictitious  meridian. 

i 

Side- 

i 

i 

A0a 

A0J 

real 
Day. 

A"" 

AQ<M 

Afl" 

AQJ 

Sidereal  Day, 

MeanDay. 

TsiT.  in 

Diff.  for 

1Q?0     Var.  in  Diff.  for 

1865. 

1873. 

1S7O. 

10  y. 

10  d. 

I07V«       10        -     j0ll> 

8                     " 

s               " 

0 

+0.735'+7.58j 

—1.066 

—4.63 

100 

0.639!     8.05 

1.005 

5.33 

s 

,/ 

1 

200 

0.537 

8.45 

0.936 

5.99 

0,Jan.    0 

-  0.03 

—  1.413 

—   1 

+169 

+  0.19 

—  2—18 

300 

0.431 

8.78 

0.860 

6.59 

10   +  9.95 

1.2-24 

1 

207 

—  0.01 

2 

23 

40U 

0.320     9.0o 

0.7/7 

7.14 

20 

19.92 

1.000 

2 

240 

0.27         1 

27 

30 

29.89 

0.746 

2 

267 

0.55 

—  1 

27 

1866. 

1874. 

Feb.   9 

8.86 

0.468 

3 

287 

0.80 

0 

24 

0 

+0.358 

+8.95 

—0.805 

—6.96 

19 
Mar.   1 
11 
21 

18.84 
0.81 
10.78 
20.76 

—0.173 

+0.136 
0.452 
0.769 

3 
3 
4 
4 

303 
313 
317 
319 

1.02 
1  19 

1.28 
1.29 

0 
0 

~^~  1 

20 
13 
—    5 
+    5 

100 
200 
300 

400 

0.245 
0.130 
+0.014 
—0.102 

9.15 
9.2? 
9.31 
9.2? 

0.718 
0.6-24 
0.526 
0.424 

7.47 

7.92 
8.30 
8.61 

31 

30.73 

1.088 

4 

317 

1.19 

2 

14 

1867. 

1875. 

100,  Apr.  10 
20 

9.70 
19.67 

1.401 

1.707 

3 
3 

310 

30)0 

1.01 

0.77 

2 

2 

21 

27 

0 
100 

—0.063 
0.178 

+9.29 
9.20 

—0.459 
0.354 

—8.52 
8.78 

30 

29.65 

1.999 

3 

284 

0.48 

3 

31 

200 

0.292 

9.02 

0.247 

8.97 

May  10 

9.62 

2.274 

2 

265 

—  0.16 

3 

32 

300 

0.404 

8.76 

0.13?)    9.09 

20 

19.59 

2.528 

2 

242 

+  0.16 

3 

32 

400 

0.512 

8.43 

0.0-27!     9.13 

30 

29.56 

2.756 

1 

214 

0.48 

4 

28 

1868  B. 

1876  B. 

June  9 
19 
29 
July  9 

8.54 
18.51 

28.48 
8.45 

2.954 
3.116 
3.238 
3.318 

—  1 

0 
0 
+  1 

181 
143 
101 

57 

0.73 
0.94 
1.08 
1.16 

4 
4 
4 

5 

23 
17 
11 

+    5 

0 
100 
200 
300 

—0.476 

0.580 
0.680 
0.773 

+8.55 
8.1? 

7.72 
7.20 

—  O.C64 
+0.04? 
0.157 
0.267 

—9.13 
9.12 
9.04 

8.88 

200,          19 

18.43 

3.353 

1 

+  13 

1.18 

5 

—    1 

400 

0.860 

6.6* 

0.373 

8.65 

29 
Aug.  8 

28.40 
7.37 

3  345 

3.292 

2 
2 

-  31 
73 

1.13 
1.06 

5 
5 

6 
9 

1869. 

1877. 

18 
28 

17.35 
27.32 

3.201 
3.075 

3 
4 

110 
141 

0.96 
0.85 

5 
5 

11 
10 

0 

—0.8321+6.82 
0.9131    6.20 

+0.338 
0.443 

—8.74 
8.46 

200 

0.986     5.53 

0.545 

8.11 

Sept.  7 

6.29 

2.922 

4 

164 

C.76 

4 

8 

300 

1.051      4.8-4 

0.642 

7.69 

17 

16.26 

2.750 

4 

178 

0.70 

4 

5 

400 

I.IOC,    4.06 

0.734 

7.21 

27 

26.24 

2.568 

3 

182 

0.67 

4 

—     ] 

Oct.    7 

6.21 

2.389 

3 

175 

0.68 

4 

+     3 

1874. 

1878. 

17 

16.18 

2.221 

3 

158 

0.73 

4 

6 

300,          27 

26.15 

2.076 

3 

129 

0.80 

3 

8 

0 
100 

—  1.089 
1.138 

+4.3S 
3.54 

+0.7041—7.38 
O.?9v     6.86 

Nov.  6 

5.13 

1.965 

2 

92 

0.89 

3 

8 

200 

1.1?7 

2.73 

0.874     6.28 

16 

15.10 

1.893 

2 

51 

0.96 

3 

6 

300 

1.205 

1.91 

0.949     5.65 

26 

25.07 

1.864 

2 

—    4 

1.00 

3 

+    3 

400 

1.224 

1.06 

1.01?     4.97 

Dec.   6 

5.05 

1.885 

+  1 

+  46 

1.01 

3 

—    2 

1871. 

1879. 

16 
26 
36 

15.C2 
24.99 
34.96 

1.956 
2.076 
+2.238 

0 
0 
0 

96 
142 

+182 

0.96 

0.84 
+  0.65 

3 
3 
+  3 

9 
16 
—  21 

0 
100 
200 

—1.219 
1.230 
1.231 

+1.3: 

+0.50 
—  0.3C 

+0.995 
1.057 
1.110 

—5.21 

4.  no 

3.75 

300 

i.aa 

1.2( 

1.154 

2.96 

400 

1.202 

2^03 

1.189 

2.15 

1872  B. 

1880  B. 

*  6  ©,                 Dec.  22.8. 

*  6  Mean  Sun,     Dec.  22.6. 

c 

—1.210 

—  1.75 

+1.1781-2.43 

100 

1.183 

2.5? 

1.806     1.61  i 

200 

1.14? 

3.3? 

1.224—0.77 

300 

1.101 

4.14 

1.33-2+0.08 

400 

—1.046 

—4.67 

+1.2291+0.93 

SPECIAL  TABLES. 


201 


TABLE  XXIV.—  *<*  Octantfe.t 

h    ra                                                     o      / 

R.A.  18    6.4.                       Dec.  —  89  17. 

Upper  transit  at  fictitious  meridian. 

1 

AQa 

A0* 

Side- 
real 

A^a 

AQ«5 

AQa 

A£V5 

Sidereal  Day 

Alt?  an  Dfty 

Day. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

s              " 

1873. 

8                    " 

0 

+22.88 

+7.43 

—31.21 

—4.77 

100 

19.92 

.7.93 

29.14 

5.48 

H 

// 

200 

16.77 

8.35 

26.80 

6.13 

0,Jan.    0 

—  0.02 

-106.05 

—108 

+693 

+  316 

—160 

+323 

300 

13.46 

8.70 

24.24 

6.73 

10 

+  9.95 

97.54 

243 

1004 

6.30 

148 

304 

400 

10.02 

8.9a 

21.47 

7.28 

20 

19.92 

86.08 

368 

1283 

9.20 

131 

276 

30 

29.90 

72.01 

481 

1524 

11.79 

110 

241 

1866. 

1874. 

Feb.    9 

8.87 

55.75 

578 

1721 

14.00 

85 

200 

' 

0 

+1  1  .  19'+8.89 

—22.43 

—7.10 

19 
Mar.   1 
11 
21 

18.84 
0.81 
10.79 
20.76 

37.73 
-  18.43 
+     1.71 
22.22 

657 

718 
758 
777 

1873 
1979 
2040 
2056 

15.78 
17.09 
17.92 
18.26 

58 
—  29 

32 

155 

108 
59 
+    9 

100 
200 
300 
400 

7.68 
4.11 
+  0.49 
—  3.14 

9.12 
9.25 
9.31 

9.28 

19.53 
16.47 
13.27 
9.95 

7.60 
8.04 
8.40 
8.70 

31 

30.73 

42.68 

781 

2028 

18.10 

64 

—  40 

1867. 

1875. 

100,  Apr.  10 

9.70 

62.66 

755 

1962 

17.47 

94 

87 

0 

—  1.92-1-9.30 

—11.08 

—8.61 

20 

19.68 

81.78 

714 

1854 

16.37 

122 

132 

100 

5.52 

9.21 

7.70 

8.85 

30 

29.65 

99.62 

655 

1709 

14.84 

149 

174 

200 

9.08 

9.05 

4.27 

9.02 

May  10 

9.62 

115.84 

578 

1530 

12.90 

174 

212 

300 

12.54 

8.80 

—  0.79 

9.11 

20 

19.60 

130.10 

486 

1317 

10.62 

195 

244 

400 

15.89 

8.47 

+  2.69 

9.12 

30 

29.57 

142.09 

381 

1076 

8.04 

213 

271 

1868  B. 

1876  B. 

June  9 

8.54 

151.55 

265 

811 

5.22 

226 

291 

19 

18.51 

158.24 

142 

525 

+  2.23 

230 

305 

0 

—14.78 

+8.59 

+  1.51 

—9.13 

29 

28.48 

162.01 

—  13 

+226 

—  0.85 

242 

310 

100 

18.03 

821 

4.98 

9.09 

July  9 

8.46 

162.75 

+118 

—  79 

3.94 

242 

306 

200 
300 

21.11 
23.99 

7.76 
2.23 

8.40 
11.75 

8.97 
8.78 

200,          19 

18.43 

160.45 

245 

381 

6.95 

239 

294 

400 

26.65 

6.65 

15.00 

8.51 

29 

28.40 

155.17 

367 

673 

9.79 

230 

272 

Aug.  8 

7.38 

147.08 

478 

943 

12.37 

218 

242 

1869. 

1877. 

18 
28 

17.35 
27.32 

13641 
123.56 

576 
657 

1183 
1382 

14.61 
16.42 

202 

183 

204 
157 

i 

0 
100 

—25.78 

28.27 

+6.85 
6.23 

+13.91 

17.08 

—8.61 
8.29 

Sept.  7 
17 
27 

6.29 
16.27 
26.24 

108.95 
93.12 
76.66 

717 

755 
768 

1532 
1620 
1656 

17.74 
18.52 

18.70 

161 
13? 

1  |  «> 

105 

—  48 

200 
300 
400 

30.50 
32.45 
34.09 

5.55 

4.82 
4.05 

20.09 
22.95 
25.59 

7.90 
7.45 
6.93 

Oct.    7 

6.21 

60.24 

755 

1619 

18.29 

87 

72 

187O. 

1878. 

17 

16.18 

44.50 

716 

1518 

17.28 

64 

131 

0 

—33.57 

+4.31 

+24.72 

-7.11 

300,          27 

26.16 

30.10 

654 

1352 

15.70 

42 

185 

100 

35.00 

3.52 

27.2^ 

6.55 

Nov.  6 

5.13 

17.65 

568 

1129 

13.61 

23 

233 

200 

36.11 

2.70 

29.49 

5.93 

16 

15.10 

7.68 

464 

857 

11.07 

+    8 

274 

300 

36.89 

1.85 

31.50 

5.26 

26 

25.08 

+    0.63 

342 

548 

8.18 

0 

304 

400 

37.33     0.99 

33.23 

4.54 

Dec.   6 

5.05 

—    3.19 

210 

—214 

5.03 

9 

324 

1871. 

1879. 

16 

20 
36 

15.02 
24.99 
34.97 

3.61 

—    0.58 
+    5.80 

+  70 
-  72 
—211 

+131 
473 

+799 

—  1.74 
+  1.59 

+  4.84 

10 
+    4 

333 
331 

+318 

0 
100 
200 

—37.22 
37.43 
37.31 

+1.29 
+0.42 
—0.44 

+32.68 
34.22 

35.46 

—4.79 
4.04 
3.26 

Sftfl 

36.86 

1.30 

36.391    2.44 

40U 

36.07 

2.15 

37.'  OO!    L6t 

1872  B. 

1S8O  B. 

*  8  Mean  Sun,     June  23.1. 

*  6  0,                  Dec.  22.9. 

0 

—36.37 

—1.86 

+36.83—1.89 

Sfc  6  Mean  Sun,     Dec.  22.7. 

100 

35.37 

2.70 

37.22     1.05 

200 

34.06 

3.50 

37.27—0.19 

t  See  pages  248.  250  for  additional  corrections. 

300 

32.45 

4.28 

36.99  +0.(i8 

400 

-30.57 

—5.01 

+36.38+1.53 

202 


SPECIAL  TABLES. 


TABLE  XXIV.—  *  (JUrsae  Minoris.t 

h    m                                                       °       ' 

R.A.  18  14.3.                       Dec.  +  86  36. 

Upper  transit  at  fictitious  meridian. 

AQa 

A0<S 

Side- 
real 

A^a 

AQc> 

1 

V_/ 

Day. 

Sid,6r€sl  Dny. 

VlcsnDsy. 

1870. 

Vnr.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1863. 

8                    " 

1873. 

8 

0 

—  3.40 

+7.75 

+  5.48 

-4.81 

100 

2.85 

8.20 

5.11 

5.49 

s 

// 

200 

2.27 

8.57 

4.70 

6.14 

0,Jan.    0 

—  0.02 

—2298 

0 

—  23 

—  1.54 

—29 

—341 

300 

1.68 

8.87 

4.25 

673 

10 

+  9.95 

22.84 

+  5 

+  51 

4.93 

29 

335 

400 

1.07 

9.09 

3.77 

7.26 

20 

19.93 

21.97 

10 

122 

8.20 

23 

317 

30 

29.90 

20.42 

15 

187 

11.23 

26 

288 

1866. 

1874. 

Feb.    9 

8.87 

18.25 

20 

245 

13.92 

23 

247 

0 

—  1.28+9.02 

+  3.94 

—7.09 

19 
Mar.   1 
11 
21 

18.85 
0.82 
1079 
20.76 

15.54 
12.41 

8.99 
5.42 

24 
26 

28 
29 

294 
329 
351 
359 

16.15 

17.85 
18.96 
19.44 

20 
16 

12 

8 

197 
141 

80 
—  17 

100 
200 
300 
400 

0.66 
—  0.04 
+  0.59 
1.21 

9.19 
9.29 
9.30 
9.23 

3.44 
2.91 
2.36 

1.79 

7.58 
8.01 
8.37 
8.67 

31 

30.74 

—  1.84 

30 

354 

19.29 

-  3 

+  47 

1867. 

1875. 

100,  Apr,  10 
20 

9.71 

19.68 

+  1.63 

4.85 

29 

23 

336 

306 

18.51 
17.15 

+  1 
5 

108 
162 

0 
100 

+  1.00 
1.61 

+9.26 
9.13 

+  1.991—8.58 
1.4  1!    8.82 

30 

29.65 

7.71 

25 

265 

15.28 

9 

210 

200 

2.21 

8.93 

0.82 

9.00 

May  10 

9.63 

10.11 

21 

215 

12.96 

12 

252 

300 

2.79 

+  0.22 

9.11 

20 

19.60 

11.98 

17 

159 

10.27 

14 

284 

400 

3.35 

8]  30 

—  0.37 

9.13 

30 

29.57 

13.27 

13 

99 

7.31 

15 

306 

1868  B. 

1876  B. 

June  9 

8.55 

13.94 

8 

+  35 

4.18 

16 

318 

19 

18.52 

13.96 

—  30 

—  0.96 

16 

322 

0 

+  3.17 

+8.43 

—  0.17 

—9.12 

29 

28.49 

13.35 

—  2 

93 

+  2.25 

15 

318 

100 

3.70 

8.03 

0.77 

9.10 

July  9 

8.46 

12.11 

7 

154 

5.38 

13 

305 

200 

4.21 

7.56 

1.36 

9,00 

300 

4.67 

7.03 

1.93 

8.83 

200,          19 

18.44 

10.28 

12 

211 

8.34 

11 

285 

400 

5.10 

6.43 

2.50 

8.50 

29 

28.41 

7.91 

17 

263 

11.06 

8 

258 

Aug.  8 

7.33 

5.04 

21 

310 

1348 

+  4 

1869. 

1877. 

18 
28 

17.35 
27.33 

+  1.73 
—  1.94 

24 

27 

350 
382 

15.56 
17.24 

0 
—  5 

189 
148 

0 
100 

+  4.96 
5.35 

+6.64 
6.01 

—  2.31 

2.86 

-8.68 
8.39 

Sept.  7 
17 
27 

6.30 
16.27 
26.24 

5.90 
10.05 
14.33 

30 
31 
32 

406 
423 
431 

18.50 
19.29 
19.60 

10 
15 

20 

103 
55 

+    7 

200 
306 

400 

5.70 
6.00 
6.25 

5.32 

4.60 
3.83 

3.39 
3.89 
4.3d 

8.03 
7.61 
7.12 

Oct.    7 

6.22 

18.63 

32 

428 

19.42 

26 

—  43 

1870. 

1878. 

17 

16.19 

22.85 

31 

415 

18.73 

32 

94 

0 

+  6.18 

+4.09 

_  4.201—7.28 

300,          27 

26.16 

2689 

30 

392 

17.53 

37 

144 

100 

6.39 

3.30 

4.65 

6.75 

Nov.  6 

5.14 

30.66 

28 

360 

15.86 

41 

191 

200 

6.54 

2.49 

5.06 

6.17 

16 

15.11 

34.06 

25 

318 

13.73 

46 

234 

300 

6.65 

1.66 

5.43 

5.53 

26 

25.08 

36.98 

21 

265 

11.20 

50 

272 

400 

6.69     0.82 

5.75 

4.84 

Dec.   6 

5.05 

39.34 

17 

205 

8.31 

53 

303 

1871. 

1879. 

16 
26 
36 

15.03 

25.00 
34.97 

41.07 
42.10 

—42.40 

13 

8 
—  2 

139 
—  67 

+    8 

5.15 

f  1.82 
—  1.57 

55 
56 
—56 

325 

333 
—338 

0 
100 

200 

+  6.68 
6.69 
6.64 

+1.11 

+0.26 
—0.59 

—  5.65—5.08 
5.94     4.36 
6.19     3.61 

300 

6.53 

1.43 

6.39 

2  HI 

400 

6.38     2.25 

6.53J    2.02 

1872  B. 

1S80  B. 

>K  8  Mean  Sun,   -June  25.2. 

*  6  ©,                 Dec.  24.7. 
#  6  Mean  Sun,     Dec.  24  8. 

0+  6.43 
100       6.24 

200!      5.99 

—1.98 
2.79 
3.58 

—  6.491—2.29 
6.60      1.47 
6.651—  0.63 

t  See  pages  251-253  for  additional  corrections. 

300       5.70 

4.33:       6.6f) 

+0.22 

400+  5.36—  5.05jl-  660+1.16 

SPECIAL  TABLES. 


203 


TABLE  XXIY.-1?  Serpentis. 

h    m                                                    o      / 

R.A.  18  14.6.                        Dec.—    2  56. 

Upper  transit  at  fictitious  meridian. 

AQa 

A0<* 

" 

Side-i 
real      AQa 

A    * 

AQa 

A^<5 

Yf  AOT*   T^OWV 

Day. 

Sidereal  Day. 

Mean  Day. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                      " 

1873. 

8                     " 

o 

+0.646 

+7.72 

—0.935 

—4.84 

100 

0.562 

8.17 

0.882 

553 

8 

// 

200 

0.473 

8.55 

0.822 

6.17 

0,  Jan.   0 

—  0.02 

-1.329 

0 

+141 

-  0.76 

0 

—129 

300 

0.380 

8.86 

0.756 

6.76 

10 

+  9.95 

1.168 

—   1 

178 

2.06 

0 

130 

400 

0.283 

9.06 

0.683 

7.29 

20 

19.92 

0.975 

1 

209 

3.34 

0 

124 

30 

29.90 

0.752 

2 

236 

4.53 

0 

113 

I860. 

1874. 

Feb.    9 

8.87 

0.505 

2 

257 

5.58 

0 

97 

0 

+0.316 

+9.02 

—0.708 

—7.12 

19 
Mar.    J 

l\ 

18.84 
082 
10.79 
20.76 

—0.240 
+0.037 
0.326 
0.618 

3 

272 

284 
291 
292 

6.45 
7.10 
7.47 
7.59 

0 

77 
52 
—  25 
-f-    2 

100 
200 
300 
400 

0.218 
0.117 
+0.016 
—0.086 

9.19 
9.29 
9.30 
9.23 

0.632 
0.550 
0.464 
0.375 

7.tl 

8.04 
8.40 
8.69, 

31 

30.73 

0.910 

2 

291 

7.42 

30 

1867. 

1875. 

100,  Apr.  10 

9.71 

1.199 

2 

287 

6.99 

56 

0 

—0.052  +9.27 

—0.405!—  8.60 

20       19.68 
30       29.65 

1.482 
1.754 

2 
2 

278 
264 

6.31 
5.42 

1 

79 
97 

100 
200 

0.1531    9-14 
0.2531    8.94 

0.3141    8.84 
0.220     9.01 

May  10 

9.62 

2.009 

2 

246 

4.38 

2 

112 

300 

0.350     8.67 

0.124     9.10 

20       19.60 

2.245 

2 

225 

3.19 

2 

121 

400 

0.445;    8.31 

0.027  1    9.12 

30 

29.57 

2.458 

1 

198 

1.96 

2 

126 

1868  B. 

1876  B. 

June  9 

8.54 

2.641 

j 

166 

—  0.69 

2 

127 

19 

18.52 

2.790 

—  1 

132 

+  0.56 

3 

122 

0 

—0.413+8.44 

-0.060!—  9.13 

29 
July   9 

28.49 
8.46 

2.904 
2.978 

0 
0 

94 
53 

1.77 
2.89 

3 
3 

117 
106 

100 
200 
300 

0.505     8.04 
0.592J    7.57 
0.674     7.03 

+0.037 
0.131 
0.230 

9.09 
8.99 

8.81 

!200,           19 

18.43 

3.010  +  1 

+  12 

390 

3 

95      400 

0.7501    6.43 

0.324 

8.56 

29 

28.41 

3.002         1 

—  29 

4.78 

3 

81 

Aug.  8 

7.38 

2.952 

2 

69 

5.52 

3 

67   i 

1869. 

1877. 

1                  13 

28 

17.  Si') 
27.32 

2.865 
2.746 

2 

2 

104 
133 

6.12 
6.56 

4 
4 

52  1       o 
33  |j  100 

-0.726 
0.797 

+6.64 

0.00 

+0.292 
0.384 

-8.65 
8.35 

Sept,  7 
17 

27 

6.30 
16.27 

2«5.24 

2.601 
2.437 
2.263 

2 
3 
3 

156 
171 

376 

6.87 
704 
7.06 

4 
4 
4 

24 

tl 

!  200 
300 

0.862 
0.918 
0.967 

5.32 
4.59 
3.82 

0.474 
0.559 
0.640 

7.98 
7.55 
7.05 

Oct.    7 

6.22 

2.089 

3 

171 

6.92 

4 

20 

1870. 

1878. 

17 

16.19 

1.925 

3 

156 

6.65 

4 

35 

0 

—0.952 

+4.09  +0.613—7.23 

!  300,          27 

26.16 

1.781 

2 

133 

6.22 

4 

50 

100 

0.995 

3.30 

0.69  J 

6.69 

Nov.  6         5.13 

1.663 

2 

100 

5.64 

4 

65 

200 

1.029 

2.4s 

0.763 

6.09 

16  I     15.11 

1.584 

2 

60 

4.91 

4 

80      oi'l 

1.055 

1.65 

0.829 

5.44 

26 

25.08 

1.544 

1 

—  18 

4.03 

4 

95 

400 

1.071 

0.81 

0.888 

4.75 

Dec.   6 

5.05 

1.548  +  1 

+  27 

3.01 

4 

108 

1871. 

1879. 

16 
26 
36 

15.02 
25.00 
34.97 

1.598 
1.691 
+1.827 

0 
0 
—  1 

72 
115 
+155 

1.87 
+  0.64 
—  0.65 

4 
4 
-f  4 

119 
127 
—130 

0 
100 

200 

—  1.067'+].  09 
1.077+0.24 
1.078—0.61 

+0.869—4  99 
0.924J    4.27 
0.971      3.51 

300 

1.0701     1.45 

1.009     2.72 

400 

1.053     2.26 

1.040|     1.90 

1872  B. 

1880  B. 

•*  6  0,                  Dec.  24  7. 

*  d  Mean  Sun,     Dec.  24.8. 

0 

-1.060 

—2.00! 

+1.031 

—2.18 

100 

1.037 

8.82 

1.056 

1.35 

200 

1.006 

3.60 

1.072 

—0.51 

300 
400 

.0.966 
—0.918 

4.36 
—5.08 

1.079  +0  34 
+  1.0761+1.19 

:i 

ii 

204 


SPECIAL  TABLES. 


TABLE  XXIV.-l  Aquilae. 

h    m                                                       o      » 

E.A.  18  28.  t.                       Dec.—    8  20. 

Upper  transit  at  fictitious  meridian. 

AQa 

A    6 

Side- 
real 

AQa 

A      s 

AQa 

Anrf 

. 

•' 

°                      |;  Day. 

Siucrttil  Day. 

>If  uii  Day. 

187O. 

Var.  in 

10  y. 

Diff.  for 
lOd. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                    " 

1873. 

o 

+0.665 

+7.92 

—0,968'—  5.17 

100 

0.577 

8.34 

0.912     5.83 

s 

// 

200 

0.484 

8.68 

0.849 

6.45 

0,Jan.    0 

—  0.01 

-1.346 

0 

+  133 

—  0.74 

—   1 

—  90 

300 

0.387 

8.95 

0.779     7.01 

10 

+  9.96 

1.194 

0 

171 

1.65 

0 

91 

400 

0.286 

9.14 

0.703     7.51 

20 

19.93 

1.005 

—  1 

204 

256 

0 

^8 

30 

29.91 

6.787 

2 

231 

3.41 

0 

81 

1866. 

1874. 

Feb.    9 

8.88 

0.545 

2 

253 

4.17 

0 

68 

0 

+0.320 

+9.09 

—0.730 

—7.35 

19 
Mar.    1 
11 
21 

18.85 
0.83 
10.80 
20.77 

0.282 
-0.004 
+0.284 
0.579 

3 
3 
3 
3 

271 

284 
292 
297 

4.77 
5.19 
5.42 
5.43 

0 
0 
0 

+  1 

51 
33 
—  12 
+  11 

100 
200 
300 
400 

0.2J8 
0.113 

+0.007 
—0.098 

9.22 
9.28 
9.26 
9.15 

0.650 
0.564 
0.475 
0.381 

7.81 
8.20 
8.53 

8.78 

31 

30.74 

0.878 

3 

299 

5.21 

1 

33 

1867. 

1875. 

100,  Apr.  10 
20 

9.72 
19.69 

1.175 
1.467 

3 
3 

295 

288 

4.76 
4.14 

1 

1 

53 
71 

0 
100 

—0.063 
0.168 

+9.20 
9.04 

—0.413 
0.318 

—8.70 
8.91 

30 

29.66 

1.750 

2 

277 

3.35 

1 

85 

200 

0.272 

8.80 

0.220 

9.04 

May  10 

9.63 

2.019 

2 

261 

2.44 

2 

96 

300 

0.373 

8.49 

0.120 

9.10 

20 

19.61 

2.271 

2 

241 

1.44 

2 

103 

400 

0.471 

8.10 

0.019     9.08 

30 

2958 

2.500 

1 

215 

—  0.40 

3 

105 

1868  B. 

1876  B. 

June  9 

8.55 

2700 

1 

185 

+  0.65 

3 

103 

19 

18.52 

2.868 

150 

1.66 

3 

98 

0 

—0.438 

+8.24 

—0.0531—9.10 

29 

28.50 

2.999 

0 

111 

2.61 

3 

91 

100 

0.533 

7.80 

+0.04b     9.03 

July   9 

8.47 

3.090 

0 

70 

3.47 

3 

81 

200 
300 

0.624 
0.709 

7.30 
6.74 

0.148     8.89 
0.2481     8.68 

2CO,          19 

18.44 

3.139 

0 

+  28 

4.22 

3 

70 

1  400 

0.787 

6.11 

0.345J     8.39 

29 

28.42 

3.146 

+  1 

—  14 

4.87 

3 

58 

Aug.  8 

7.39 

3.112 

2 

56 

5.38 

3 

46 

1869. 

1877. 

18 
28 

17.36 
27.33 

3.036 

2.927 

3 
3 

94 
125 

5.79 

6-.  08 

4 
4 

35 
24 

0 
100 

—0.761 
0.835 

+6.33 

5.67 

+0.313 

0.408 

—8.49 

8.16 

Sept.  7 
17 

27 

6.31 
16.28 
26.25 

2.789 
2,629 
2.459 

CO  CO  CO 

150 
166 
173 

6.27 
6.36 
6.35 

4 
4 
4 

14 

,  200 
300 
400 

0.902 
0.960 
1.010 

4.9? 
4.22 
3.44 

0.501 
0.589 
0.673 

7.76 
7.29 
6.77 

Oct.    7 

6.22 

2.286 

3 

171 

6.25 

4 

15 

187O. 

1878. 

17 

16.20 

2.121 

3 

159 

6.06 

4 

24 

i 

0 

-0.994+371 

+0.645 

-6.95 

300,          27 

26.17 

.972 

2 

136 

5.78 

4 

34 

i  100 

.038 

2.91 

0.725 

6.39 

Nov.   6 

5.14 

.852 

2 

105 

5.39 

4 

44 

!  200 

.073 

2.08 

0.800 

5.77 

16 

15.12 

.705 

2 

67 

4.89 

4 

54 

i  300 

.098 

1.24 

0.868 

5.11 

26 

25.09 

.719 

2 

—  25 

4.30 

4 

64 

400 

.115 

+0.40 

O.Qsi'J 

4.39 

Dec.    6 

5.06 

.715 

1 

+  19 

3.62 

4 

74 

• 

187i. 

1879. 

16 
26 
36 

15.03 

25.01 
34.98 

.757 
.843 
+1.971 

+  1 
0 
0 

64 
108 
+  148 

2.83 
1.97 
+  1.06 

4* 
4 

+  4 

83 
89 
-  92 

0 
i  100 
|  200 

—   .111 
.121 
.121 

+0.68 
—0.1? 
1.01 

+0.909 
0.965 
1.013 

—4.63 

3.90 
3.12 

j    3QQ 

.112 

1.85 

1.053 

2.32 

!  400 

.094 

2.66 

1.084 

1.50 

1872  B. 

188O  B. 

*  6  ©,                  Dec.  27.8. 
5Jc  6  Mean  Sun,     Dec.  28.2. 

0 
100 

—  .101 

.076 

—2.39 
3.19 

+1.075 
1.099 

—1.78 
0.95 

200 

.043 

3.96 

1.115 

—0.10 

300 

.000 

4.70 

1.122+0.74 

400 

—0.950 

—5.39 

+1.119 

+1.59 

SPECIAL  TABLES. 


205 


TABLE  XIIV.—  f3  Lyrje. 

h    m                                                    °      ' 

E.A.  18  45.3.                       Dec.  +  33  13. 

Upper  transit  at  fictitious  meridian. 

A    « 

AQeJ 

Side- 
real 

AQa' 

Aa<5 

Aqa 

AQ<J  1 

O 

Day. 

a 

Sicteroal  Day. 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                      " 

1873. 

0 

+0.521 

+8.14—0.699 

—5.55 

100 

0.466 

8.51 

0.668 

6.19 

// 

200 

0.407 

8.81 

0.631 

6.76 

0,  Jan.  0 

0.00 

—  .600 

0 

+  77 

—  0.21 

+  2 

—294 

300 

0.344 

9.03 

0.590 

7.29 

10 

9.98 

1.499 

] 

124 

3.16 

2 

294 

400 

0.278 

9.17 

0.543 

7.75 

20 

19.95 

.353 

1 

168 

6.05 

2 

282 

30 

29.92 

.165 

1 

206 

8.76 

2 

259 

1866. 

1874. 

Feb.   9 

8.89 

0.942 

1 

240 

11.20 

2 

227 

0 

+0.301+9.13 

—0.560—7.60 

19 
Mar.   1 
11 
21 

18.87 
0.84 
10.81 
20.79 

0.637 
0.408 
—0.107 
+0.206 

2 
2 
2 
2 

268 
291 

308 
318 

13.28 
14.90 
16.02 
16.58 

2 
2 
1 

+  1 

186 
138 

85 
—  28 

100 
200 
300 
400 

0.233 
0.163 
0.092 
0.020 

9.22 
9.23 
9.15 
9.00 

0.510 
0.457 
0.400 
0.339 

8.01 
837 
8.65 

8.85 

31 

30.76 

0.527 

3 

322 

16.58 

0 

+  29 

1867. 

1875. 

100,  Apr.  10 
20 

9.73 
19.70 

0.848 
1.165 

3 
2 

320 
311 

16.00 
14.90 

0 
0 

84 
135 

0 
100 

+0.0*45 
—0.028 

+9.06 
8.86 

—  0.360J—  8.79 
0.208     8.95 

30 

29.68 

1.469 

2 

297 

13.31 

0 

182 

200 

0.100 

8.57 

0.233]     9.04 

May  10 

9.65 

1.757 

2 

276 

11.29 

0 

220 

300 

0.171 

8.22 

0.1CT!    9.C5 

20 

19.62 

2.020 

2 

249 

8.94 

0 

251 

4CO 

0.240 

7.79 

0.099     8.95 

30 

29.59 

2.254 

1 

217 

6.30 

—  1 

274 

18C8  B. 

1876  B. 

June  9 
19 

8.57 
18.54 

2.453 
2013 

1 

180 
138 

3.48 
—  0.56 

—  I 

o 

288 
293 

0 

—0.217 

+7.94 

1-0.122 

—9.02 

29 

July    9 

28.51 

8.48 

fc.729 

2.797 

0 
0 

92 
+  44 

+  2.36 
5.24 

0 
0 

291 
282 

100 
200 
300 

0.285 
0.350 
0.412 

7.47 

6.93 
6.33 

—0.054 
+0.015 

i    0.084 

891 

8.72 
8.46 

1200,          19 

18.46 

2.817 

+  1 

—    4 

7.99 

0 

266 

400 

0.471 

5.68      0.152     8.14 

29 

28.43 

2.790 

51 

10.55 

0 

244 

Aug.  8 

7.40 

2.716 

1 

96 

12.86 

+  1 

217 

1869.                     1877. 

18 
28 

17.38 
27.35 

2.599 
2.442 

2 

138 
174 

14.88 
16.57 

1 

186 
151 

0 
100 

—0.451 
0.507 

+5.90  +0.129 
5.22      0.1  9b 

—8.25 
7.88 

200 

0.559 

4.49      0.26^ 

7  44 

Sept.  7 
17 

6.32 

1629 

2.253 
2  039 

2 
3 

203 
223 

17.89 

18.81 

1 

2 

112 

72 

30«. 
400 

0.605 
0.646 

3.7:;      0.326 
2.93      0.387 

6.94 
6.38 

27 

26.27 

1.8JO 

3 

234 

19.32 

2 

+  30 

Oct.    7 

6.24 

1.574 

2 

235 

19.41 

2 

—  14 

1870.                    1878. 

17 

16.21 

1.343 

2 

225 

19.03 

2 

58 

( 

—0.633+3.21  +0.367—6.58 

300,          27       26.18 

1.128 

2 

205 

18.24 

3 

102 

100 

0.670 

2.39      0.426     5.98 

Nov.  6 
16 
26 

5.16 
15.13 
25.10 

0.936 
0.776 
0.654 

2 
1 
1 

J77 
142 
99 

17.00 
15.36 
13.35 

3 
4 
4 

145 
184 

220 

201 
300 
40u 

0.701      1.56      0.482:     5.34 
0.726'+0.72l     0.534      4.C5 
0.745|—  0.12      0.58'J      3.91 

Dec.   6 

5.08 

O.C79 

1 

51 

10.99 

4 

1871. 

187O. 

16       15.05 
26  1     25  02 
36       34.99 

0.552 
0.575 

+  1 
0 
—  1 

—    2- 

+  48 
+  95 

8.37 
5.53 
+  2.61 

4 
5 

+  5 

274 

289 
-294 

G 
100 
200 

—0.740 
0.754 
0.762 

+0.16 
—0.68 
1.52 

'+0.566 
j     0.611 
i     0.651 

—4.17 
341 
2.62 

300 

0.764 

•2.IU       0  H85 

1.81 

400 

0.7601     3.14      0.714 

0.99 

1872  B. 

1880B. 

*  6  ©,                  Dec.  31.7. 

5JC  6  Mean  Sun,     Jan.     1.3. 

0 
100 

—0.762!—  2.87  +0.705;—  1.27 
0.753     3.65      0.729—0.43  ! 

200 

0.738!     4.40J!     0.748+0.41  | 

300 

'0.716!     5.11      0.760      1.25  i 

40o'—  0.689  —  5.77  +0.766+2.08  i 

206 


SPECIAL  TABLES. 


TABLE  XXIV.-a  Sagittarii. 

h    m                                                     °      ' 

R.A.  18  47.2.                       Dec.  —  26  27. 

Upper  transit  at  fictitious  meridian. 

A0a 

A0<5 

Side- 
real 

^a 

A^c5 

Aqa 

<v 

Day. 

Sidereal  Day. 

Mean  Day. 

1870. 

Var.hi 

10  y. 

Diff.  for 
10  d. 

187O. 

Var.  in 

10  y. 

Diff  for 
10  d. 

1865. 

s              " 

1873. 

H                    " 

0 

+0.717 

+8.16 

—1.079-5.60 

100 

0.6J5 

8.53 

1.011 

6.23 

8 

// 

200 

0.507 

8.82 

0.936 

6.80 

0,  Jan.   0 

0.01 

—1.489 

0 

+  132 

—  1.13 

—  3 

+  30 

300 

0.394 

9.03 

0.853 

7.32 

10 

998 

1.335 

0 

174 

0.84 

2 

28 

400 

0.278 

9.17 

0.763 

7.77 

20 

19.95 

1.143 

—  1 

210 

0.57 

2 

26 

30 

29.92 

0.917 

0 

242 

0.32 

2 

26 

1866. 

1874. 

Feb.  9 

8.90 

0.661 

2 

269 

—  0.05 

2 

28 

0 

+0.317|+9.13 

—0.794 

—7.63 

19 
Mar.  1 
11 
21 

18.87 
0.84 
10.81 
20.79 

0.381 
—0.082 
+0.232 
0.555 

2 
3 
3 
4 

290 
307 
319 
327 

+  0.24 
0.55 

0.88 
1  26 

1 
—  1 

0 
+  1 

30 
32 
36 
40 

100 
200 
300 
400 

0.199 
+0.079 
—0.042 
0.162 

9.22 
9.22 
9.14 

8.9c 

0.70U 
0.600 
0.496 

0.388 

8.04 
8.38 
8.66 

8.86 

31 

j 

30.76 

0.885 

4 

331 

1.67 

1 

43 

1867. 

1875. 

!  100,  Apr  10 

9.73 

1.216 

4 

331 

2.11 

1 

45 

0 

—0.122 

+9.04 

—0.425 

—8.80 

20 

19.70 

1.546 

4 

327 

2.57 

2 

44 

100 

0.241 

8.83 

0.314 

8.95 

30 

2968 

1.869 

3 

318 

3.00 

3 

42 

200 

0.359 

8.55 

0.201 

9.04 

May  10 

9.65 

2.181 

3 

303 

3.41 

3 

39 

300 

0.473 

8.  ID 

—0  087 

9.04 

20 

19.62 

2.474 

3 

283 

3.77 

3 

32 

400 

0.583 

7.75 

+0.028 

8.97 

30 

29.60 

2.746 

3 

258 

4.04 

4 

23 

1868  B. 

1876  B. 

June  9 
19 

857 
18.54 

2.988 
3.195 

2 
1 

225 
169 

4.22 

4.30 

4 

4 

1.3 

+    2 

C 

—0.546 

+7.91 

-o.on 

—9.01 

29 

28.51 

3.364 

—  1 

147 

4.26 

5 

_    9 

100 

0.652 

7.43 

+0.104 

8.89  i 

July  9 

8.49 

3.488 

+  1 

101 

4.12 

5 

19 

200 

300 

0.753 
0.847 

6.89 
6.29 

0.219 
0.331 

8.70 
8.44 

j  200,          19 

18.46 

3586 

1 

54 

3.88 

5 

28 

400 

0.933 

5.63 

0.441 

8.10 

29 

28.43 

3.595 

1 

+    5 

3.57 

5 

35 

Aug.  8 

7.40 

3.577 

2 

—  41 

3.19 

5 

39 

1869. 

1877. 

18 
28 

17.38 
27.35 

3.514 

3.408 

2 
3 

85 
124 

2.79 
2.38 

5 
5 

41 

40 

(, 

100 

—0.905|+5.85 
0.986     5.17 

+0.404 
0.512 

—8.22 

7.84 

Sept.  7 
17 

27 

6.32 
16.30 
26.27 

3.269 
3.104 
2920 

3 
4 
4 

153 
176 

188 

2.00 
1.66 
.41 

5 
5 

5 

36 
30 
21 

200 
301 
400 

.058 
.121 
.174 

4.44 
3.67 

2.8t 

0.615 
0.714 

0.807 

7.40  ! 
6.89 
6.33  ! 

Oct.    7 

6.24 

2.732 

4 

188 

.25 

4 

11 

1870. 

1878. 

17 

16.21 

2.548 

3 

178 

.19 

4 

—    1 

0 

—1.157+3.15 

+0.776 

-6.53 

1  300,          27 

26.19 

2.380 

3 

156 

.22 

4 

+    8 

100 

.203 

2.34 

0.86f> 

5.93 

!         Nov.  fi 

5.16 

2.239 

3 

124 

.35 

3 

17 

200 

.239 

1.51 

0.946 

5.28 

16 

15.13 

2.134 

3 

86 

.56 

3 

24 

300 

.264+0.66 

1.021 

4.59 

26 

25.10 

2.069 

2 

—  42 

.82 

3 

28 

400 

.278—  O.lfc 

1.086 

3.85 

Dec.  6 

5.08 

2.051 

1 

+    7 

2.11 

3 

30 

1871. 

1879. 

16 
26 
36 

15.05 
25.02 
34.99 

2.083 
2.163 
+2.289 

+  1 
0 
0 

56 
103 
+147 

2.42 
2.73 
+  3.03 

3 
3 
+  3 

31 
31 

+  29 

0 
100 
200 

—  .274+0.11 
.281  —0.74 
.277      1.57 

+1.065 
1.125 
1.176 

—4.11 
3.35 

2.56 

300 

1    Vf\*) 

2.39 

1.217 

i  7F. 

400 

h236 

3.19 

1.248     o!92 

1872  B. 

1880  B. 

*  6  ©,                 Jan.  1.1. 

5Jc  6  Mean  Sun,     Jan.  1.8. 

0 

—1.246 

—2.93 

+1.239—1.20 

100 

1.213 

3.70 

1.262—0.37 

200 

1.17J 

4.44 

1.276+0.47 

300 

1.118 

5.15 

1.279     1.31 

400 

—1.057 

—5.81 

+  1.271  +2.14 

SPECIAL  TABLES. 


207 


TABLE  XXIV.-*  50  Draconis. 

h    m                                                    °      ' 

R.A.  18  50.6.                        Dec.  +75  17. 

Upper  transit  at  fictitious  meridian. 

A0a 

A.d 

Side-' 

real      AQ<Z 

A^J 

AQa 

AQ(J 

Day. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870.    V*™n 

Diff.  for 

10  d. 

18« 

0+0.029 

+8.20 

1873. 

+0.313—5.66 

100     0.106 

8.56 

0.24^ 

t>/28 

g 

// 

200 

0.182 

8.84 

0.169 

6.85 

0,  Jan.   0 

0.01 

-5.329 

—  5 

-  99 

+  1.38  —  2 

-3-19 

300 

0/257 

9.04 

0.095 

7.36 

10 

9.98 

5.345 

4 

+  68 

-  2.14 

2 

353 

400 

0.330 

9.17 

0.021 

7.81 

20 

19.95 

5.195 

3 

233 

5.63 

2 

343 

30       29.92 

4.882 

—  2 

389 

8.96 

2 

321 

18C 

»<». 

1874. 

Feb.    9 

8.90 

4.420 

0 

531 

1-2.01 

2 

287 

0 

+0.305+9.13 

+0.046 

-7.66 

19 
Mar.    1 
11 
ft] 

18.87 
0.84 
10.82 
20.79 

3.826 
3.120 
2.328 
1.477 

+  1 
3 
4 
5 

654 

754 

826 

870 

14.67 
16.83 
18.41 
19.37 

2 
2 

1 
1 

242 
188 
128 
—  63 

100 
200 
300 
400 

0.376     9/21 
0.444     9.  -21 
0.507     9.11 
0.567      -.:•! 

—0.029 
0.103 
0.176 
0.24ft 

8.07 
8.40 
8.67 
8.87 

31 

30.76 

-0.598 

5 

884 

19.67 

—  1 

+    3 

18«7. 

1875. 

100,  Apr.  10 

9.73 

+0.2S2 

6 

870 

19.30 

0 

68 

0 

+0.547 

+9.01 

—0.224'—  8.81 

20 

19.71 

1.132 

7 

826 

18.31 

0 

130 

100 

0.603 

8.79 

0.294 

8.93 

30 

29.68 

1.926 

7 

758 

16.73 

+  1 

186 

200 

0^654 

8.49 

0.362 

9.02 

May  10 

9.65 

2.641 

6 

667 

14.62 

1 

235      300 

0.699 

8.12 

0.427)    9.03 

20 

19.62 

3.254 

6 

557 

12.05 

2 

276 

4  HO 

0^738 

7.68 

0.488 

8.95 

30 

29.60 

3.750 

6 

432 

9.14 

2 

307 

1868  B. 

1876  B. 

June  9 
19 

29 
July  9 

8.57 
18.54 
28.52 
8.49 

4.113 
4.336 
4.4  12 

4.339 

5 
4 
2 

+  1 

294 
150 
+    2 
—146 

5.95 
—  2.58 

4.30 

2 
2 
2 

1 

329 
34-2 
346 
340 

C 
100 

•JOO 

+0.7-25 
0.760 

0.809 

+7.84 
7.35 
6.80 
6.19 

—0.468 
0.526 
0.581 
0.6:50 

—8.99 
8.86 
8.66 
8.39 

200,           19 

18.46 

4.120 

0 

290 

7.64 

1 

327   !  40° 

0.823 

5.54 

0.675 

8.06 

29 

28.43 

3.761 

—  2 

427 

10.81 

1 

306 

Aug.  8 

7.41 

3/269 

4 

544 

13.73 

+  1 

278 

186ff. 

1877. 

18 
28 

17.38 
27.35 

2.657 
1.940 

5 
6 

667 
765 

1635         0 
18.60         0 

244          c 

205      UIO 

+0.819 

0.82- 

+5.77 
5.08 

-0.660—8.18 
0.701;     7.80 

Sept.  7 

6.3-2 

1.134 

8 

844 

20.44  1—  1 

162 

200 

300 

0.8:30 
O.r<24 

4.34 
3.57 

0.736 
0.765 

7.35 

6.84 

v.w-x 

17 

27 

16.30 
26/27 

+0/259 
—0.663 

9 

10 

902 
938 

21.82 
22.71 

1 
2 

H2      400 
64 

0.813 

2.78 

0.788 

6.27 

Oct.    7 

6/24 

1.610 

11 

951 

23.09 

2 

+  H 

1870. 

1878. 

17 

16/22 

2.556 

12 

938 

22.94 

3 

—  43 

300,          27 

26.19 

3.477 

12 

900 

22.24 

3 

0+0.8181+3.05 
97      1001    0.801     2.23 

—0.781 
0.800 

—6.47 

5.87 

Nov.  6 

5.16 

4.348 

13 

837 

21.00 

4 

150      200!    0777     1.40 

0811 

5/21 

16 

15.13 

5.143 

13 

749 

19/24 

4 

201       300     0.746I+0.56 

0.817 

45-2 

26 

25.11 

5.838 

12 

639 

17.00 

5 

247      400 

0.7101—0.28 

0.816 

378 

Dec.   6 

5.08 

6.413 

12 

508 

14.33 

5 

287 

1871. 

1879. 

16 

26 
36 

15.05 
25.02 
35.00 

6.849 
7.13-2 

—7/252 

12 
11 

—10 

362 
203 
—  37 

11.29 
7.98 
+  4.51 

5 
5 
—  5 

319          0 

100 
—  3°*      200 

+0.723  +0.01 
0.682  —0.84 
0.636     1.67 

1—0.817 
0.811 
0.798 

—4.03 
328 
2.49 

aan 

0.584 

2.48 

0.779 

1  o 

400 

0.528 

3.27 

o!753;     0.85 

1872  B. 

1880  B. 

*  6  0,                 Jan.  1.7. 

>j<  6  Mean  Sun,     Jan.  2.7. 

0 

+0.548 

—3.01 

—0.762—1.13 

^  S  Mean  Sun,     July  4.3. 

100 

0.488 

3.78      0.732—0/29 

200 

0.425 

4.52 

0.696  +0.55 

300 

0.358 

5.22 

0.653      1.38 

: 

400 

+0.239  —5.87 

—0.605+2.21 

208 


SPECIAL  TABLES. 


TABLE  XXIV.-f  Aquila;. 

h    m                                                      o      / 

K.A.  18  59.4.                       Dec.  +  13  40. 

Upper  transit  at  fictitious  meridian. 

AQa 

' 

A0<J 
' 

Side- 
real 

A^a 

A    <j 

A0a 

A^(5 

, 

Day. 

McauOsy. 

1870. 

Var.  in 
10y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 

10  d. 

1865. 

8                     " 

1873. 

s               " 

0 

+0.600J+8.29 

—0.841 

--5.85 

100 

0.529     8.02 

0.798 

6.45 

g 

// 

200 

0.452     8.87 

0.748 

7.00 

0,Jan.    0 

0.01 

—1.367 

0 

+  84 

—  0.34 

_|_ 

-205 

300 

0.372     9.05 

0.693 

7.49 

10 

9.99 

1.263 

0 

123 

2.40 

205 

400 

0.2881     9.14 

0.63J 

7.91 

20 

19.96 

1.122 

—  1 

159 

4.42 

198 

30 

29.93 

0.947 

1 

191 

6.33 

182 

1866. 

1874. 

Feb.   9 

8.90 

0.742 

1 

218 

8.04 

159 

0 

+0.316 

+9.13 

—0.652 

-7.77 

19 
Mar.   1 
11 
21 

18.88 
0.85 
10.82 
20.79 

0.513 
—0.261 

+0.008 
0.289 

2 
2 
2 
3 

241 

261 
276 

286 

9.48 
10.58 
11.31 
11.62 

1 
0 
0 
0 

128 
92 
52 
—  10 

100 

200 
300 
400 

0.23) 
0.143 
+O.C54 
—0.035 

9.18 
9.14 
9.03 

8.84 

0.587 
0.517 
0.444 
0.366 

8.15 

8.47 
8.71 
8.88 

31 

30.77 

0.578 

3 

292 

11.50 

0 

+  33 

1867. 

1875. 

100,  Apr.  10 
20 

9.74 
19.71 

0.872 
1.165 

3 
2 

294 

291 

10.96 

10.02 

0 
0 

75 
112 

C 
100 

—  O.C05 
0.094 

+8.91 
8.67 

—0.393 
0.314 

—8.83 
8.95 

30 

29.69 

1  452 

2 

282 

8.74 

0 

145 

200 

0.183 

8.35 

0.23^ 

9.1/0 

May  10 

9.66 

1.728 

2 

269 

7.14 

0 

173 

300 

0.270 

7.96 

0.148 

8.97 

20 

19.63 

1.988 

2 

250 

5.30 

0 

196 

400 

0.354 

7.5C 

0.064 

8.87 

30 

29.60 

2.227 

1 

226 

3.25 

0 

211 

1868  B. 

1876  B. 

June  9 

8.58 

2.438 

1 

196 

—  1.10 

1 

218 

19 

18.55 

2.617 

—  1 

161 

+  1.10 

1 

221 

C 

—0.326 

+7.66 

—0.092 

—8.91 

29 

28.52 

2.759 

0 

122 

3.30 

1 

217 

100 

0.408 

7.  1C 

—0.007 

8.76 

July  9 

8.49 

2.861 

+  1 

81 

5.42 

1 

207 

200 

0.487 

6.5<J 

+0.078 

8.54 

300 

0.561 

5.97 

0.163 

8.25 

200,          19 

18.47 

2.921 

1 

+  38 

7.43 

.  1 

193 

400 

0.630 

5.3C 

0.246 

7.t9 

29 

28.44 

2.937 

1 

—    6 

9.27 

1 

175 

Aug.  8 

7.41 

2.909 

1 

49 

10.92 

2 

154 

1869. 

1877. 

18 
28 

17.39 
27.36 

2.840 
2.736 

2 
2 

87 
121 

12.35 
13.52 

2 
2 

ISO 
104 

0 
100 

—0.607 
0.673 

+5.53 

4.83 

+0.218 
0.300 

-8.02 
7.61 

Sept.  7 
17 

27 

6.33 

16.30 
26.28 

2599 
2.437 

2.258 

to  to  to 

151 
172 
183 

14.44 
15.07 
1542 

2 
2 
3 

77 
49 
-1-  20 

200 
30C 
401 

0.73* 

0.785 
0.831 

3.31 

2.5C 

0.380 
0.457 
0.530 

7.14 
6.62 
6.04 

Oct.    7 

6.25 

2.074 

2 

186 

15.48 

4   -10 

1S7O. 

1878. 

17 

16.22 

1.890 

2 

179 

15.22 

4 

39 

0 

—0.817 

+2.7£ 

+0.506—6.24 

300,          27 

26.19 

.720 

2 

162 

14.69 

4 

68 

100 

0.858 

1.9C 

0.576!     5  62 

Nov.  6 

5.17 

.569 

2 

137 

13.85 

4 

97 

200 

O.b92 

1.13 

0.6421     4.U5 

16 

15.14 

.448 

2 

104 

12.75 

4 

124 

301 

0.9J8 

+0.29 

0.703     4.25 

26 

25.11 

.362 

2 

68 

11.37 

4 

151 

400 

0.936 

-0.55 

0.7£8     3.f;0 

Dec.   6 

5.09 

.314 

1 

—  28 

9.75 

5 

172 

1871. 

1879. 

16 
26 
36 

15.C6 
25.03 
35.  CO 

.307 
.344 
+1.423 

1 
n 

+  15 

58 
+  99 

795 
6.  CO 
+  3.94 

5 

5 
+  5 

188 
201 
—206 

0 
100 
200 

-0.930 
0.943 
0.948 

—0.27 
|,l(j 

1.93 

+0.740 
0.791 
0.835 

-3.76 

2.99 
2.20 

300 

0.945 

2.73 

0.873 

1.38 

40C 

0.933 

3.5; 

0.903 

1873  B. 

188OB. 

#  6  ©,                  Jan.  3.6. 

#  6  Mean  Sun,     Jan.  4.9. 

100 

—0.938—3.25 
0.022     4.01 

+0.894—0.84 
0.9191     0.00 

200 

0.897     4.74 

0.937  +0.83 

300 

0.8661    5.42 

0.947      1.66 

400—  0.827—  6.  C6 

+0949+2.48 

SPECIAL  TABLES. 


209 


TABIE  XXIV.-dSagittarii. 

h    m                                                        °       / 

E.A.  19  10.0.                       Dec.  —  19  11. 

Upper  transit  at  fictitious  meridian. 

AQa 

A0<* 

Side- 
real 

AQa 

*Q* 

A 

AQ,J 

• 

Day. 

1870. 

Var.  in 
10  y. 

Diff.  foi 
10  d. 

1870.  WjgJ" 

Diff.  for 
10  d. 

1865. 

8                     " 

1873.^ 

0 

+0.673 

+8,37 

—  L016—  6.06 

100 

0.576 

8.67 

0.952     6.64 

R 

// 

200 

0.474 

8.90 

0.880     7.16 

0,Jan.    0 

0.02 

-1.397 

0 

+100 

—    .76 

— 

—  10 

300 

0.367 

9.05 

0.802 

7.62 

10 

9.99 

1.277 

0 

139 

.85 

9 

400 

0.257 

9.12 

0.716 

8.01 

20 

19.97 

1.119 

—  1 

176 

.93 

6 

30 

29.94 

0.916 

1 

209 

.97 

—    1 

1866. 

1871. 

Feb.   9 

8.91 

0.703 

2 

236 

.95 

+    5 

0 

+0.294 

+9.10 

—0.746—7.89 

19 
Mar.   1 
11 
21 

18.88 
0.86 
10.83 
20.80 

0.456 

-0.188 
+0.097 
0.396 

2 
3 
3 
3 

258 
277 
293 
304 

.87 
.69 
.39 
0.97 

—  1 

0 
0 
0 

13 
23 
35 
47 

100 
200 
300 
400 

0.182 
+0.069 
—0.045 
0.159 

9.12 

9.06 
8.92 
8.70 

0657 
0.563 
0.464 
0.361 

824 
8.52 
8.73 

8.87 

31 

30.78 

0.703 

3 

312 

—  0.44 

+  1 

57 

1867. 

1875. 

100,  Apr.  10 
20 

9.75 
19.72 

1.018 
1.334 

4 
4 

316 

315 

+  0.17 

0.88 

1 
1 

66 
74 

C 
100 

—0.120|+8.78 
0.233     8.51 

—0.396 
0.292 

-8.84 
8.93 

30 

29.69 

1.646 

3 

309 

1.65 

2 

78 

200 

0.344 

8.17 

0.185 

895 

May  10 

9.67 

1.951 

3 

300 

2.44 

2 

79 

300 

0.451 

7.75 

0.077 

8.89 

20 

19.64 

2.244 

2 

284 

3.23 

2 

77 

400 

0.555 

7.27 

+0.031 

8.76 

30 

29.61 

2.517 

2 

261 

3.98 

o 

72 

1868  B. 

1876  B. 

June  9 
19 

8.58 
18.56 

2.764 
2.980 

2 

1 

232 
199 

4.66 
5.25 

3 
4 

64 

54 

0 

—0.521 

+7.44 

—0.0051—8.81 

29 

28.53 

3.161 

—  1 

160 

5.74 

4 

43 

100 

0.621 

6.91 

+0.103     8.64 

July   9 

8.50 

3.299 

0 

117 

6.12 

5 

31 

200 
300 

0.716 
0.804 

6.33 
5.69 

0.211      839 
0.317     8.07 

200,          19 

18.47 

3.394 

0 

72 

6.37 

5 

18 

400 

0.885 

5.00 

0.4211    7.69 

29 
Aug.  8 

28.45 
7.42 

3.443 
3445 

0 

+  1 

+  25 
—  20 

'  6.48 
6.49 

5 
5 

+    6 
—    3 

1869. 

1877. 

18 
28 

17.39 

27.37 

3.404 
3.320 

2 
2 

63 
103 

6.42 
6.26 

5 
5 

12 

18 

0 
100 

-0.859 
0.935 

+5.24 
4.52 

+0.387 

0.488 

—7.82 
7.39 

Sept.  7 
17 

27 

6.34 
16.31 
26.28 

3.200 
3.052 

2.886 

2 
2 
3 

135 

158 
173 

6.06 
5.83 
5.61 

5 
5 
4 

21 
22 
22 

200 
300 
400 

1.003 
1.061 
1.111 

3.77 

298 
2.18 

0.585 
0.678 
0.766 

6.90 
6.36 
5.76 

Oct.    7 

6.26 

2.710 

3 

178 

5.38 

4 

21 

187O. 

1878. 

17 

16.23 

2.534 

3 

171 

5.19 

4 

18 

0 

—1.0951+2.45 

+0.737 

-5.96 

300,          27 

26.20 

2.371 

3 

156 

5.02 

4 

15  1    100 

1.138     1.63 

0.821 

5.33 

Nov.   6 

5.17 

2.226 

3 

130 

4.89 

4 

13 

200 

1.172+0.80 

0.897 

4.65 

16 

15.15 

2.114 

3 

95 

4.77 

3 

11 

300 

1.194 

—0.04 

0.967 

3.93 

26 

25.12 

2.037 

2 

57 

4.67 

3 

10 

400 

1.207 

0.87 

1.029 

3.18 

Dec.   6 

5.09 

2.001 

2 

—  14 

4.58 

3 

10 

1871. 

1879. 

16 
26 
36 

15.07 
25.04 
35.01 

2.009 
2.062 
+2.156 

1 

+  1 
0 

+  30 
74 
+115 

4.48 
4.3J 

+  4.28 

CO  CO  CO 

+ 

10 
10 
—  10 

0 
100 
200 

-1.204 
1.210 
1.206 

-0.59 
1.42 
2.23 

+1.009 
1.C63 
1.112 

—3.44 

2.67 

1.87 

300 

1.191 

3.02 

1.1511     1.05 

400 

1.166 

3.79 

l.J80|     0.23 

1979m, 

18SOB. 

*  6  0,                 Jan.  6.0. 

^c  <j  Mean  Sun,     Jan.  7.6. 

0 

—1.1761-3.53 

+1.171 

—0.51 

100 
200 

1.145     4.28 
1.104     4.98; 

1.193+0.32 
1.206     1.15 

300 

1.054     5.64 

1.208     1.97 

400 

—  0.996|—6.26  +1.200J+2.78 

14: 


210 


SPECIAL  TABLES. 


TABLE  XXIV.—*  (5  Draconis. 

h    m                                                    o      / 

E.A.  19  12.5.                       Dec.  +  67  26. 

Upper  transit  at  fictitious  meridian.                                                          [ 

\ 

AQa 

A0d 

Side- 
real 

Ao« 

A^ 

I 

\ 

MesnDny 

Day. 

187O. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in  |  Diff.  for 

10  y.       10  d.    , 

1865. 

8                    " 

1873. 

8                    " 

0 

+0.378 

+8.39 

—0.230 

—6.10 

100 

0.402 

8.69 

0.265 

6.67 

s 

// 

200 

0.422 

8.90 

0.298 

7.19 

0,Jan.    0 

+  0.02 

—3.474 

—  3 

—  75 

+  2.94 

0 

—344  i 

300 

0.438 

9.05, 

0.328 

7.64 

10 

10.00 

3.495 

3 

+  32 

—  0.55 

0 

352  ! 

400 

0.451 

9.11 

0.356 

8.03 

20 

19.97 

3.409 

3 

139 

4.07 

0 

348 

i                 30 

29.94 

3.218 

3 

242 

7.47 

0 

331 

1866. 

1874. 

1         Feb.    9 

8.91 

2.928 

3 

3o7 

10.6J 

0 

301 

0 

+0.447 

+9.09 

—0.347 

—7.91 

19 
Mar.   1 
11 
21 

18.89 
0.86 
10.83 
20.80 

2.548 
2.090 
1.569 
1.001 

2 
2 
2 
1 

421 

492 
547 

585 

1344 
15.79 
17.59 

18.77 

0 
0 
0 
0 

260 
208 
150 

86 

100 
200 
300 
400 

0.457 
0.463 
0.465 
0.463 

9.10' 
9.03 

8.88: 

0.373 
0.395 
0.414 

0.430 

8.25 
8.53 

8.74 
8.87 

i           31 

30.78 

—0.405 

1 

605 

19.30 

0 

—  20 

1867.          i 

1S75. 

i 

100,  Apr.  10 
20 

9.75 
19.72 

+0.203 
0.804 

0 

607 
591 

19.17 
18.39 

0 
0 

+  46 

109 

0 

100 

+0.464 
0.459 

+8.74! 
8.47' 

—0.425 

0.438 

—8.83 
8.92 

30 

29.70 

1.330 

0 

558 

17.00 

0 

168 

200 

0.450 

8.12 

0.448 

8.93 

May  10 

9.67 

1.915 

+  1 

509 

15.05 

0 

220 

300 

0.438 

7.69' 

0.454 

8.87 

20 

19.64 

2.393 

1 

446 

12.62 

0 

265 

400 

0.421 

7.21 

0.456 

8.73 

30 

29.61 

2.802 

1 

371 

9.78 

0 

301 

1868  B. 

1876  B. 

,         June  9 

8.59 

3.132 

2 

286 

6.64 

0 

327 

! 

19 

18.56 

3.372 

2 

193 

—  3.27 

0 

345 

0 

+0.427 

+7.38 

—0.456 

—8.79 

29 

28.53 

3.517 

2 

+  97 

+  0.23 

0 

352 

100 

0.408 

6.85; 

0.456 

8.61 

July  9 

8.50 

3.565 

1 

—    2 

3.75 

0 

351 

200 

0.386 

6.26! 

0.45* 

8.35 

300 

0.360 

5.62, 

0.444 

8.03 

200,          19 

18.48 

3.513 

1 

102 

7.22 

0 

342  i 

400 

0.331 

4.93 

0.433     7.64 

29 

28.45 

3.362 

+  1 

198 

10.55 

•  o 

324  ; 

i 

i         Aug.  8 

7.42 

3.119 

0 

289 

1368 

0 

300  : 

1869. 

1877. 

18 
28 

17.40 
27.37 

2.788 
2.379 

0 
0 

372 
444 

16.52 
19.03 

0 

0 

269  i 
232  i 

0 
100 

+0.341 

0.310 

+5.17 
4.45 

—0.437 
0.423 

—7.78 
7.35 

i         Sept.  7 
17 

27 

6.34 
16.31 

1.903 
1.372 

0.803 

0 

—  1 

1 

506 
553 

584 

21.14 
22.81 

24.00 

0 
0 
0 

190  : 
144  : 
94  i 

200 
300 
400 

0.27? 
0.24-4 
0.204 

3.69 
2.91 
2.10 

0.406     6.85 
0.386     6.31 
0.362!    5.70 

Oct.    7 

•    6^26 

+0.209 

1 

600 

24.68 

0 

+  41  • 

1870.         | 

1878. 

17 

16.23 

—0.391 

2 

603 

24.82 

0 

—  14  j 

0 

+0.217!+2.37, 

—0.370—5.91 

300,          27 

26.20 

0.980 

2 

578 

24.41 

0 

69  i 

100 

0.178     1.56 

0.344     5.28  i 

Nov.  6 

5.18 

1.541 

3 

541 

23.45 

0 

124 

200 

0.13? 

+0.72 

0.316     4.59 

16 

15.15 

2.057 

3 

487 

21.95 

0 

177 

300 

0.096 

-0.11 

0.284      3.87 

26 

25.12 

2.511 

4 

418 

19.93 

0 

2X56 

400 

0.054 

0.94 

0.250 

3.12 

Dec.   6 

5.10 

2.889 

4 

336 

17.44 

0 

270 

] 

1871. 

1879. 

16 
26 
36 

15.07 
25.04 
35.01 

3.180 
3.372 
—3.461 

4 

5 
—  5 

243 
141 
—  35 

14.56 
11.36 
+  7.95 

0 
0 
0 

306 
333 
—348 

100 

200 

4.0.068;—  0.66' 
+0.026     1.49 
—0.017     2.30 

—0.262—3.38 
0  227     2.60  ! 
0.189     1.81 

300    n.n-w 

3.09 

0.  1  50 

0.99 

400 

0.100 

3.85; 

0.110 

0.17 

1872  B. 

1880  B. 

*  6  0,                 Jan.  6.7. 

5|c  6  Mean  Sun,     Jan.  8  .2 

0—0.086'—  3.60 

—0.124—0.45 

%  S  Mean  Sun,     July  9.8. 

100     0.127)     4.34 
2001     O.J67      5.04 

0.084  +0.38  J 
—0.041!     1.21 

3001     0.206     5  69  +0.002     2.03 

/ 

400—  0.2421—  6.30  +0.044+2.83 

SPECIAL  TABLES. 


211 


TABLE  XXIV.—*  r  Draconis. 

h    m                                                    of 

R.A.  19  18.0.                        Dec.  +  73    7. 

Upper  transit  at  fictitious  meridian. 

Aoa 

A0<5 

Side- 
real 

AQa 

AQ<> 

AQ<Z 

A  d  ; 

^/ 

Day. 

i 

Siucrcul  Dfly. 

1870. 

Var.  in 
10  y. 

Diff.  for 
]0d. 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                    " 

i 

1873. 

6                       " 

0 

+0.329 

+8.43 

—0.009—6.20  ! 

100 

0.393 

8.71 

0.079 

6.76 

8 

// 

200 

0.454 

8.91 

0.148 

7.26  i 

0,Jan.    0 

0.03 

—4.576 

—  6    —160 

+  3.64 

—  1 

-339 

300 

0.511 

9.03 

0.216 

7.70  ' 

10 

10.00 

4.665 

5—16 

+  0.19         1 

350 

400 

0.563     9.08 

0.282 

8.08 

20 

19.97 

4.609 

5  j+128 

—  3.31         1 

348 

30 

29.94 

4.410 

4 

267 

6.72 

1 

3.53 

1866. 

1874. 

Feb.    9 

8.92 

4.077 

4 

398 

9.92 

1 

305 

0 

+0.5461+9.07 

—0260 

—  7.96  ; 

19 
Mar.    1 
11 
21 

18.89 
0.86 
10.83 
20.81 

3.619 
3053 
2.400 
1.679 

3 
2 

0 

517 

613 
691 
745 

12.78 
15.20 
17.08 
18.36 

1 
1 
1 
1 

266 
216 
159 
97 

i  100 
200 
300 
400 

0.01)5 
0639 
0.677 
0.710 

9.06 

8.98 
8.81 
8.57 

0.324 
0.386 
0.444 
0.499 

8.29 
8.55  ' 
8.74  ' 
8.86  ' 

31 

30.78 

0.917 

-f  1 

775 

19.00 

1 

—  31 

1867. 

1875. 

100,  Apr.  10 
20 

9.75 
19.73 

—0.138 
+0.633 

2 
3 

779 

759 

18.98 
18.32 

0 
0 

+  34 

98 

0 

100 

+0.700 
0.728 

+8.66 
8.37 

—0.481 
0.53-2 

—8.83  j 
8.90  i 

30 

29.70 

1.371 

4 

715 

17.04 

0 

157 

2CO 

0.750 

8.01 

0.580 

8.89  • 

May  10 

9.67 

2.055 

4 

650 

15.19 

0 

210 

300 

0.766 

7.57 

8.82  i 

20 

19.64 

2.665 

4 

566 

12.85 

+  1 

256 

400 

0.774 

7.0bj     0.659 

8.67  ! 

30 

29.62 

3.182 

4 

466 

10.09 

294 

1868  B.                1876  B. 

June  9 

8.59 

3.593 

4 

354 

7.01 

322 

19 

18.56 

3.887 

4 

232 

3.69 

341 

0 

+0.772+7.251—  0.64S!—  8.73  ' 

29 

28.53 

4.055 

3 

+104 

—  0.23 

350 

100 

0.777 

6.71 

0.6811    8.53 

July   9 

8.51 

4.095 

2 

—  26 

+  3.29 

351 

200 

0.774 

6.11 

0.709     8.26 

300 

0.705 

5.46 

0.732     7.93 

200,           19 

18.48 

4.004 

+  1 

155 

6.77 

344 

400 

0.749 

4.77 

0.748     7.53 

29 

28.45 

3.787 

0 

280 

10.13 

1 

328 

Aug.  8 

7.42 

3.447 

—  1 

398 

13.30 

0 

305 

1869. 

1877. 

18 
28 

17.40 
27.37 

2.99J 
2.44J 

2 
3 

506 
601 

16.21 

18.80 

0 
0 

276 
241 

0 
100 

+0.755+5.01 
0.735     4.26 

—0.743 
0.756 

-7.67 
7.23  ,; 

**•,? 

27 

6.34 
16.32 
26.29 

1.797 

1.083 
+0.314 

4 
5 
6 

681 
745 

789 

21.01 
22.79 
24.10 

0 

1 

200 
155 

106 

200 
300 
400 

0.709     3.52 
0.676     2.74 
0.633!     1.93 

0.762 
0.762 
0.755 

6.73  ! 
6.17  ! 
5.56  i 

Oct.    7 

6.26 

—0.488 

7 

813 

24.90 

2 

54 

187O. 

1878. 

17 

16.23 

1.303 

8 

815 

25.18 

2 

4-    l 

0 

+0.652 

+2.20 

—0.7581—5.77 

300,          27 

26.2  L 

2.110 

9 

795 

24.91 

a 

—  55 

100 

0.610 

1.38 

0.74?     5.13  ; 

Nov.   6 

5.18 

2.884 

10 

"  752 

24.08 

2 

111 

200 

0.5G3 

+0.55 

0.731      4.44 

16 

15.15 

3.605 

10 

687 

22.70 

2 

164 

300 

0.511 

—  0.2c 

0.708;    3.71 

26 

25.13 

4.251 

11 

602 

20.80 

2 

214 

400 

0.455|     1.11 

0.679J    2.9(3 

Dec.    6 

5.10 

4.b03 

11 

498 

18.43 

3 

260 

1871. 

1879. 

16 

26 
36 

15.07 
25.04 
35.02 

5.242 
5.556 
-5.733 

12 
12 
—11 

379 
247 
—106 

15.63 
12.51 
+  9.15 

3 
3 
—  3 

298 
326 
-344 

0 
100 
200 
on/I 

+0.474 
0.4H) 
0.354 
0  2K9 

—0.83 
1.65 
2.45 

Q  O'J 

—0.689 
0.657 
0.619 

—3.22 
2.44 
1.64  ' 

OQQ 

ouv 
400 

u.^ot/ 
0.222 

G.«£«> 

3.99 

o!527 

•  CO 

0.00 

1872  B. 

1880  B. 

*  6  0,                 Jan.    7.9. 

>jc  c5  Mean  Sun,     Jan.    9.6. 
ajc  8  Mean  Sun,    July  11.2. 

0+0.2451-3.74  —  0  544'—  0.28 
100     0.177      4.47      0.490+0.54 
200     0.108     5.161     0.436      1.37 

30(.  +0.037      5.801      0.377 
400  —  0.033J—  6.40J  —  0.314 

2.18 

+2.98 

II 

212 


SPECIAL  TABLES. 


TABLE  XXIV.-d  Aquilze. 

i 

h    m                                                     °      ' 

E.A.  19  18.9.                       Dec.  +  2    51. 

Upper  transit  at  fictitious  meridian. 

A0« 

A0<* 

Side- 
real 

A^a 

A    6 

Aaa 

AQd   ! 

Sittcrcal  Dtiy. 

VIciiii  Day. 

\y 

Day. 

! 

1870. 

Var.in 

10y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                      " 

1873. 

«               " 

0 
100 

+0.6291+8.43 
0.550     8.71 

—0.902 
0  852 

-6.22 

678  ! 

s 

// 

200 

0  465     8.91 

0.796 

728  i 

0,  Jan.  0 

003 

—  1.311 

0 

+  75 

—  0.67 

0 

—340 

300 

0.376 

9.03 

0.733 

7.71  i 

10 

10.00 

1.217 

0 

312 

2.07 

0 

340 

400 

0.284 

9.07 

0.664 

8.09  ! 

20 

39.97 

1.087 

0 

146 

3.46 

0 

335 

i 

30 

29.94 

0.925 

—  1 

379 

4.75 

0 

322 

1866. 

1874. 

Feb.   9 

8.92 

0.731 

1 

207 

5.89 

0 

106 

0 

+0.315+907 

—0  688J-7.96 

19 

38.89 

0.513 

2 

229 

6.85 

0 

83 

100 

0.221 

9.06 

0  615|    8  30 

Mar.    1 
11 
21 

0.86 
10.84 
20.81 

0.274 
—0.016 
+0258 

2 
o 

2 

249 
267 

280 

7.53 
7.93 

8.00 

0 
0 

+  i 

55 
—  24 

200 
300 
400 

0.125 
+0.028 
—0.070 

8  97 
8.80 
8.56 

0.456 
0  370 

8.74 
886 

31 

30.78 

0.542 

3 

288 

7.77 

i 

41 

1867. 

1875. 

100,  Apr.  10 

9.75 

0.833 

3 

293 

7.38 

i 

73 

0 

—0.037 

+865 

—0.400 

—883 

20 

1973 

1.126 

3 

294 

6.33 

i 

102 

300 

0.134 

836 

0  312 

8.89 

30 

2970 

1.419 

2 

290 

5.15 

i 

327 

200 

0.230 

7.99 

0.222 

8.89 

May  10 

9.67 

1.705 

2 

280 

3.78 

i 

147 

300 

0324 

756 

0.131 

881 

20 

19.64 

1.977 

2 

265 

.  2.22 

i 

162 

400 

0416 

7.06 

0.038 

8.65 

30 

29.62 

2.233 

2 

244 

—  0.55 

i 

372 

1868  B. 

1876  B. 

June  9 
39 

8.59 
18.56 

2.464 

2.665 

1 
1 

217 
185 

+  1.20 
2.95 

i 

2 

176 
175 

0 

—0.385 

+723 

—0069—8.71 

29 

28.54 

2.833 

348 

4.68 

2 

170 

300 

0473 

6.69 

+0.024 

851 

Juiy    9 

8.51 

2.961 

0 

108 

6.33 

2 

359 

200 
300 

0.558 
0.637 

6.09 
5.44 

0  116 

0.208 

8.24 
7.91 

200,          39 

3848 

3049 

0 

66 

7.84 

3 

345 

400 

0710     4.74 

0.298 

7.60 

29 

28.45 

3.093 

0 

+  22 

9.22 

3 

329 

Aug.  8 

7.4.3 

3.093 

+  1 

—  22 

10.42 

3 

312 

1869. 

1877. 

JH 

37.40 

27.37 

3.050 
2.970. 

1 

62 

98 

11.45 
12.27 

3 
3 

93 
72 

0 
300 

—0686+4.98 
0.756     4.26 

+0.268 
0.357 

—7.64 
7.20 

Sept.  7 
37 

27 

6.34 
36.32 
26.29 

2.856 
2.7J4 

2.555 

2 

2 

2 

329 
152 
167 

1289 
13.31 
13.52 

3 
3 
3 

52 
32 
+  1% 

200 
300 
400 

0.818 
0.874 
0.921 

350 

2.71 
3.90 

0.443 
0525 
0.604 

669 
6.13 
5.52 

Oct.    7 

6.26 

2.384 

2 

172 

1353 

4 

-    8 

1870. 

1878. 

17 

36.24 

2.214 

3 

167 

33.35 

4 

28 

0 

—0906+2.17 

+0.578 

—5.73 

300,          27 

26.21 

2.052 

3 

354 

32.98 

4 

48 

100     0948      1.351     0.653!    508 

Nov.  6 

5.18 

1.908 

2 

333 

12.40 

5 

67 

200     0.983+0.52 

0.723     4.40 

16       35.15 

1.789 

2 

304 

11  64 

5 

84 

300      1.008—031 

0.787!     3  67 

26 

25.13 

1.703 

2 

68 

10.72 

4 

302 

400     1.025     1.14 

0.844 

2.91 

Dec.   6 

5.10 

1.654 

J 

—  30 

9.61 

4 

117 

1871. 

1879. 

16 
26 
36 

15.07 
25.04 
35.02 

1.644 
1.674 
+1.745 

1 

0 

+  30 
53 
+  89 

8.39 
7.06 
+  5.66 

4 
4 

+  4 

328 
337 
—141 

0 
100 
200 

-1.020 
1.03J 
1.034 

—0.86  +0  825 
I.  em    0.879 
2.48'    0.925 

—3.17 
2  39 
1.59 

300 

1  027 

3.26!i    (}  twi*1 

n  7W 

400 

3.012 

4.01 

0.993 

+o!o4 

1872  B. 

I880B. 

5J<  6  0,                  Jan.  8.1. 

5JC  6  Mean  Sun,     Jan.  9.9. 

0 

—  1.0181—3.76  +0.9841—  0.24  i 

100 

0.997 

4.49|i     1.0091+0.59  ! 

200 

0968 

5.18      1.026 

1.41  i 

300 

0.9311     6.82  i     3  033 

2.23  : 

j 

400—0.886—6.41  +1.033+3.02  ! 

SPECIAL  TABLES. 


213 


.^  .              ••  jm-^^ 

TABLE  XXIV.—  *  Aquilae.    ff 

•      **  * 

\ 

K.  A.  19  29.9.                       Dec.—   7U9£>    '          ^SSfjl 

U 

Upper  transit  at  fictitious  meridian.           ^^^^^        r£^*^ 

A0a 

AQ<5 

Side- 
real 

A^ 

A^a 

AQd 

Sid^reul  Duv.  '^^*3ni'1  T^^V- 

Day. 

1870. 

Var.  in 
10y. 

Diff.  for 
10  d. 

187O. 

Var.  in 
10  y. 

Diff  for 
10  d. 

1865. 

8 

1873. 

B                    " 

0 

+0.642 

+8.49 

—0.948 

—6.41 

100 

0.554 

8.73 

0.892 

6.94 

8 

ii 

200 

0-461 

8.90 

0.828 

7.41 

0,  Jan.    0 

0.03 

—1.308 

+   1 

+  73 

—  1.44 

0 

—  78 

300 

0.364 

8.99 

0.757!    7.82 

10 

10.01 

1.216 

0 

110 

2.22 

0 

77 

400 

0.264 

9.00 

0.681 

8.16 

20 

19.98 

1.088 

0 

144 

2.97 

0 

71 

30 

29.95 

0.928 

—  1 

175 

3.64 

0 

62 

1866. 

1874. 

Feb.  9 

8.93 

0.739 

1 

202 

4.21 

0 

50 

0 

+0.2981+9.01 

—0.707—8.05 

19 
Mar.   1 
11 
21 

18.90 
0.87 
10.84 
20.82 

0.524 
0.285 
—0.027 
+0.247 

1 
2 
2 
3 

227 
249 
266 

280 

4.63 

4.87 
4.88 
4.67 

0 
0 
0 
0 

33 
—  13 
+  10 
33 

100 
200 
300 
400 

0.196     8.97 
+0.092     8.85 
-0.01-2     8.65 
0.117J     8.3« 

0.6-27 
0.542 
0.432 
0.359 

8.35 

8.58 
8.73 
8.82 

31 

30.79 

0.533 

3 

291 

4.22 

0 

56 

1867. 

18' 

75. 

100,  Apr  10 

9.76 

0.827 

3 

298 

3.55 

0 

77 

0 

—0.081 

+8.49 

—0.391 

—8.79 

20       19.73 

1.128 

3 

301 

2.68 

+  1 

96 

100 

0.185 

8.16 

0.296 

8.83 

30 

29.71 

1.427 

3 

298 

1.63 

1 

112 

200 

0.288 

7.77 

0.199     8.79 

May  10 

9.68 

1.723 

3 

291 

—  0.44 

1 

124 

300 

0.387 

7.31 

-  0.100     8.69 

20 

19.65 

2.007 

3 

278 

+  0.84 

1 

131 

400 

0.484 

6.79 

0.000     8.50 

30 

29.63 

2.277 

2 

259 

2.17 

2 

134 

1868  B. 

1876  B. 

June  9 

8.60 

2.523 

2 

2:53 

3.51 

2 

132 

19 

18.57 

2.741 

2 

203 

4.81 

2 

126 

0 

—0.452 

+6.97 

—0.034 

—8.57 

29 

28.54 

2.927 

1 

166 

6.03 

3 

117 

100 

0.545 

6.41 

+0.066 

8.35 

July  9 

8.52 

3.072 

1 

125 

7.14 

3 

105 

200 

0.633 

5.79 

0.166 

805 

300 

0.716 

5.1* 

0.264 

7.69 

200,          19 

18.49 

3.176 

—  1 

83 

8.12 

3 

91 

400 

0.793 

4.41 

0.359 

7.26 

29 

28.46 

3.237 

0 

+  39 

8.96 

3 

77 

Aug.  8 

7.43 

3.253 

+  1 

—    6 

9.65 

3 

6-2 

1869. 

1877. 

18 
28 

17.41 

27.38 

3225 
3.158 

1 
2 

48 
86 

10.19 
10.57 

4 

4 

46 
31 

0 
100 

—0.768 
0.839 

+4.65 
3.92 

+0.327 
0.421 

—7.41 

6.94 

Sept.  7 
17 

27 

6.35 
16.32 
26.30 

3.054 
2.920 
2.768 

2 
2 
2 

120 
144 
161 

10.80 
10.92 
10.92 

4 

4 
4 

17 
+    5 
—    6 

200 
300 
400 

0.904 
0.900 
l.OOS 

3.15 

2.36 
1.55 

0.512 
0.599 
0.681 

6.41 
5.84 
5.21 

Oct.    7 

6.27 

2.601 

3 

169 

10.80 

4 

17 

1870. 

187S- 

17 

16.24 

2.433 

3       165 

10.58 

4 

27 

0—0.99-21+1.83 

+0.654 

—5.42 

300,          27 

26.22 

2273 

3 

153 

10.27 

4 

36 

100 

1.035     1.01 

0.732 

4.77 

Nov.  6 
16 

5.19 
15.16 

2.129 
2.009 

3 
2 

133 
104 

9:87 
9.38 

4 

4 

45 

53 

200 
300 

1.068.+0.18 
1.091—0.64 

0.804 
0.870 

4.07 
3.33 

26 

25.13 

1.922 

2 

70 

8.82 

4 

60 

400 

1.1  06|     1.46 

0.929 

2.57  j 

Dec.  6 

5.11 

1.87.0 

2 

—  32 

8.18 

4 

67 

1871. 

1879. 

16 
26 

36 

15.08 
25.05 
35.02 

1.858 
1.886 
+1.953 

1 

+  1 

0 

+    8 
48 
+  86 

7.47 

6.72 
+  5.95 

4 
4 

+  4 

73 

76 

—  77 

0 
100 
200 

—1.102 
1.110 
1.109 

-1.19 
1.99 

2.78 

+0.9101—2.83  i 
0.964     2.05 
1.010      1.25 

300 

1.098 

3  55 

1.048 

0  44 

400 

1.078 

4.28 

1.077 

+0.38  ! 

1872  B. 

1880  B. 

*  6  0,                 Jan.  10.6. 

4c  d  Mean  Sun,     Jan.  12.7. 

0 

—1.086-4.03 

+  1.068 

+0.10 

100 

1.060     4.74 

1.091 

0.92 

200 

1.025     5.41 

1.105 

1.73  ' 

300 

0.981     6.03. 

1.1K 

2.53 

400—0.930—6.59! 

+1.105+3.32 

214 


SPECIAL  TABLES. 


TABLE  XXIV.—*  e  Draconis. 

h    m                                                      o      / 

E.A.  19  48.6.                       Dec.  +  69  56. 

Upper  transit  at  fictitious  meridian. 

A0o 

A0<> 

Side- 
real 

AQa 

AQ<5 

A 

A     j 

_ 

Day. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

187O. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                    " 

1873. 

8                    " 

0 

+0.5871+8.54 

—0.3201—6.69 

100 

0.632!     8.73 

0.3821    7.17 

a 

// 

200 

0.671      8.84 

0.441      7.59 

0,Jan.    0 
10 

0.05 
10.02 

—3  729 

3.864 

—  4 
5 

—193 

—  77 

+  5.96 
+  2.C4 

0 
0 

—323 
341 

300 
400 

0.705 
0.733 

8.87 
8.83 

0.496     7.95 
0.547|    8.24 

20 

19.99 

3.882 

5 

+  43 

—  0.81 

0 

346 

30 

29.97 

3.780 

5 

161 

4.25 

0 

339 

1866. 

J874. 

Feb.   9 

8.94 

3.562 

5 

275 

7.55 

0 

319 

0 

+0724 

+8.85 

—0.530 

—8.15 

19 
Mar.  1 
11 
21 

18.91 

0.88 
10.86 
20.83 

3.234 
2.807 
2.293 
1.712 

5 
4 
4 
8 

380 
473 
550 
610 

10.59 
13.24 
15.43 
17.03 

OO  00 

287 
243 
190 
131 

100 
200 
300 
400 

0.747 
0.764 
0.775 
0.778 

8.75 
8.58 
8.34 
8.02 

0.578 
0.621 
0.659 
0.691 

839 
8.57 
8.67 
870 

31 

30.80 

1.079 

2 

651 

18.02 

0 

67 

1867. 

1875. 

100,  Apr.  10 
20 

9.78 
19.75 

—0.416 
+0.256 

—  1 

0 

671 

670 

18.3G 

18.05 

0 
0 

—    2 
+  63 

0 
100 

+0.778 
0.776 

+8.13 
7.77 

_0.681  !—  8.70 
0.710:     8.68 

30 

29.72 

0.918 

0 

649 

17.11 

0 

125 

200 

0.769 

7.33 

0.732!     8.59 

May  10 

9.69 

1.549 

-I-  1 

610 

15.57 

0 

182 

300 

0.754 

6.84 

0.749!     8.44 

20 

19.67 

2.131 

2 

552 

13.50 

0 

232 

400 

0.733 

6.28 

0.760|     8.21 

30 

29.64 

2.647 

2 

479 

10.98 

0 

274 

1868B. 

1876  JR. 

June  9 

8.61 

3.084 

2 

392 

8.04 

o 

309 

19 

18.58 

3.429 

3 

296 

4.82 

0 

334 

0 

+0.741 

+6.47 

—0.757 

—8.29 

29 

28.56 

3.673 

3 

192 

—  1.39 

o 

350 

100 

0.716 

5.88 

0.763 

8.02 

July  9 

8.53 

3.810 

3 

+  83 

+  2.16 

0 

357 

200 
300 

0.684 
0.647 

5.24 
4.55 

0.763 
0.757 

7.68 

7.28 

200,          19 

18.50 

3.837 

2 

—  28 

5.73 

0 

356 

400 

0.604 

3.81 

0.744 

6.82 

29 

28.48 

3.754 

2 

138 

9.25 

0 

346 

Aug.  8 

7.45 

3.564 

2 

243 

12.63 

0 

329 

1869. 

1877. 

18 
28 

17.42 

27.39 

3.271 

2.883 

6 

342 
431 

15.81 
18.71 

0 
0 

305 
274 

0 
100 

+0.619 
0.572 

+4.07 
3.33 

—0.749 
0.733 

—698 
6.48 

Sept,  7 
17 

27 

6.36 
16.34 
26.31 

2.412 

1.870 
1.271 

0 

—  i 

2 

509 
573 
622 

21.28 
23.45 
25.18 

0 
0 
0 

238 
196 
149 

200 
300 
400 

0.521 

0.464 
0.406 

2.55 
1.76 
0.95 

0.710 
0.682 
0.648 

5.92 
5.32 
4.67 

Oct.    7 

6.28 

+0.632 

3 

653 

26.42         0 

99 

1S7O. 

1878. 

17 

16.26 

—0.030 

4 

667 

27.15 

0+45 

0 

+0.427 

+1.22 

—0.663'—  4.89 

300,          27 

26.23 

0.696 

5 

662 

27.32 

o 

—  11 

100 

0.365 

+0.41 

0.622 

4.22 

Nov.  6 

5.20 

1.347 

5 

638 

26.93 

0 

67 

200 

0.300 

-0.40 

0.579 

3.50 

16 

15.17 

1.965 

6 

595 

25.98 

0 

123 

300 

0.233 

1.21 

0.53J 

2.76 

26 

25.15 

2.532 

7 

538 

24.48 

0 

177 

400 

0.164 

2.01 

0.479 

1.99 

Dec.   6 

5.12 

3.029' 

8 

458 

22.45 

0 

227 

1871. 

1879. 

16 
26 
36 

15.09 
25.06 
35.04 

3.442 

3.758 
—3.965 

8 
9 
—  9 

366 
263 
—150 

19.96 
17  07 

+13.88 

0 
0 
0 

270 
306 
-331 

0 
100 
200 

+0.187 
0.117 

+0.046 

—1.74 

252 
3.29 

-0.497 
0442 
0383 

—2.25 
1.47 

—0.68 

300 

—0.025 

4.02 

0.320+0.13 

| 

400 

0.095 

4.71 

0.255|     0.93 

1872  B. 

1880  B. 

•X-  6  ©,                 Jan.  14  9. 

>K  6  Mean  Sun,     Jan.  17.4. 

0 

—0.072 

—4.48 

—0.277 

+0.66 

5Jc  &  Mean  Sun,     July  19.0. 

100 

0.142 

5.15 

0.211 

1.47 

200 

0.210 

5.77 

0.142 

2.26 

300 

0.277 

6.34 

—0.071 

3.03 

40U 

—0.341 

—6.86 

0.000+3.78 

SPECIAL  TABLES. 


215 


TABLE  XXIV.—  'UrsaeMinoris.t 

h    m                                                        °       ' 

R.A.  19  54.3.                       Dec.  +  88  55. 

Upper  transit  at  fictitious  meridian. 

Sidereal  Day. 

\I6J1Q  DflY 

A0a 

W 

Side- 
real 
Day 

^ 

w 

*o- 

5] 

1870. 

Var.  in 

10  y. 

Diff.  foi 
10  d. 

1870. 

Var.  in 
lOy. 

Diff.  for 
10  d. 

1865. 

8                     " 

1873. 

8 

0 

+  1.11+8.54 

+10.41 

—6.73  I 

100 

3.45 

8.70 

8.26 

7.20 

8 

// 

200 

5.76 

8.78 

6.05 

7.61 

0,Jan.    0 

0.06 

-  67.68 

—277 

—578. 

+  7.25 

—  82 

—293 

300 

8.03 

8.79 

3.80 

7.96 

10 

10.03 

72.38 

243 

360 

4.21 

88 

315 

400 

10.24 

8.72 

1.52 

8.24 

20 

20.00 

74.84 

201 

—130 

+  0.99 

91 

326 

30 

29.98 

74.97 

152 

+102 

—  2.27 

92 

324 

1866. 

187-4.         | 

Feb.   9 

8.95 

72.81 

98 

327 

5.45 

89 

310 

0 

+  9.501+8.75 

+  229 

—8.15 

19 
Mar.   1 
11 
21 

18.92 
0.89 
10.87 
20.84 

68.48 
62.17 
54.16 

44.85 

—  44 

65 
115 

536 
720 

872 
988 

8.43 
11.10 
13.34 
15.08 

84 
76 

67 
55 

284 
247 
200 
147 

100 
200 
300 
400 

11.66)    8.63 
13.711    8.44 
15.66     8.17 
17.471    7.84 

0.00 
—  2.28 
4.55 
6.77 

8.39 
8.56 
8.66 
8.69 

31 

30.81 

34.56 

158 

1063 

16.26 

43 

88 

1867. 

1875. 

100,  Apr.  10 
20 

9.78 
19.76 

23.73 
1277 

194 

221 

1096 

1088 

16.84 
16.80 

30 
Ic 

—  27 
+  34 

0 
100 

+16.87 
18.59 

+7.96 

7.58 

—  6.02 
8.21 

—  869J 
8.68 

30 

29.73 

-    2.10 

238 

1041 

16.17 

—    3 

93 

20U 

20.15 

7.13 

10.33 

8.59  i 

May  10 

9.70 

+    7.93 

244 

958 

14.96 

+    9 

148 

300 

21.53 

6.63 

12.37 

8.44 

20 

19.68 

16.96 

240 

843 

13.23 

20 

198 

400 

22.74 

6.07 

14.31 

8.21 

30 

29.65 

24.71 

226 

703 

11.03 

29 

241 

1868  K. 

1876  B. 

June  9 

8.62 

30.95 

202 

542 

8.44 

36 

276 

19 

18.59 

35.50 

169 

366 

5.53 

42 

304 

0 

+22.35+6.26 

—13.67—8.30 

29 
July  9 

28.56 
8.54 

3824 
39.Ge 

127 

79 

+180 
—  11 

—  2.39 
+  0.91 

45 
46 

323 
335 

100 

200 

23.43 
24.30 

5.67 
5.02 

15.54     8.03 
17.28!     7.70 

300 

24.97 

4.34 

18.89 

7.31 

'200,          19 

18.51 

38.0* 

+  25 

202 

4.27 

44 

338 

400 

25.43 

3.6J 

20.35J    6.85 

29 

28.48 

35.06 

—  34 

388 

7.63 

40 

333 

Aug.  8 

7.46 

30.28 

U5 

567 

10.91 

34 

321 

1869. 

1877. 

18 
28 

17.43 

27.40 

23.76 
15.64 

159 
223 

734 

887 

14.04 
16.95 

26 
16 

278 

0 

100 

+25.30 
25.62 

+3.86 
3.12 

—19.87 
21.23 

—7.01 
6.52 

Sept.  7 
17 
27 

6.37 
16.35 
26.32 

+    6.08 
—    4.73 

16.59 

287 
348 
407 

1022 
1138 
1230 

19.57 
21.87 
23.77 

+    4 
—    9 
24 

247 

210 
169 

200 

300 

400 

25.71 
25.59 
25.26 

2.35 
1.57 
0.77 

22.41 
23.42 
.  24.25 

5.98 
6.38 
4.75 

Oct.    7 

6.29 

29.25 

459 

1297 

25.23 

39 

123 

1S7«>- 

18' 

17 

16.26 

42.44 

507 

1337 

26.21 

55 

73 

0 

+25.40f+1.04 

—23.99—4.97 

300,          27 

26.24 

55.88 

547 

1346 

26.69 

72 

+  21 

100 

24.92+0.24 

24.69 

4.30 

Nov.   6 

5.21 

69.24 

579 

1322 

26.63 

88 

—  33 

200 

24.24 

—0*57 

25.20 

3.60 

16 

15.18 

82.21 

602 

1265 

26.03 

104 

88 

300 

23.36 

1.36 

25.50 

2.87 

26 

25.16 

94.43 

615 

1173 

24.88 

119 

141 

4UO 

22.28 

2.14 

25.60 

2.11 

Dec.  6 

5.13 

105.56 

618 

1048 

23.21 

132 

192 

1871. 

1879. 

16 

26 
36 

15.10 
25.07 
35.05 

115.28 
123.27 
—  129.2e 

609 
591 
—562 

890 
704 
—495 

21.07 
18.51 
+15.62 

144 

154 

—162 

236 
274 
—303 

0 
100 
200 
300 

+22.67 
21.47 

20.10 
18.56 

2!(K) 

3.39 

—25.59 
25.55 
25.31 
24.88 

—2.37 
1.59  ! 
0.80 
(\  ni 

/ 

400 

4^79 

24.21  +0.80 

1872B. 

1880  B. 

*  d  0,                 Jan.  16.3. 

>j<  (5  Mean  Sun,     Jan.  18.9. 

0 

+17.47 

—  4.5fV 

—24.45' 

+0.53 

*  §  Mean  Sun,     July  20.5. 

100 

15.69 

5.22 

23.66J 

1.32 

200 

13.79 

5.831 

22.68 

2.12 

tSee  pages  248,  250,  251-253  for  additional  corrections. 

300 

11.79 

6.39}    21.511 

2.89 

400+  9.69 

—6.90!—  20.161+3.64 

I 

216 


SPECIAL  TABLES. 


TABLE  XXIV.—  r  Aquilae. 

h    m                                                    °      ' 

R.A.  19  57.8.                        Dec.  +    6  55. 

Upper  transit  at  fictitious  meridian. 

AQa 

A0<> 

Side- 
real 

AQa 

A^ 

AQa 

AQc5 

Day. 

Menu  Day. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                     " 

1873. 

s              " 

0  +0.635 

+8.54 

—0.891 

—6.82 

100 

0.558 

8.70 

0.845 

7.28 

s 

// 

200 

0.477 

8.78 

0.79^ 

7.67 

0,  Jan.   0 

0.05 

—1.257 

+   1 

+  36 

-  0.01 

+   1 

—149 

300 

0.39J 

879 

0.732 

8.00 

10 

10.03 

1.203 

0 

71 

1.52 

1 

152 

400 

0.302 

8.7^ 

0.667 

8.26 

20 

20.00 

1.115 

0 

106 

3.03 

1 

148 

30 

29.97 

0.992 

—  ] 

138 

4.46 

136 

18C 

»<». 

1874. 

Feb.    9 

8.94 

0.839 

1 

168 

5.74 

119 

0 

+0.332+8.75 

—0.690 

—8.18 

19 
Mar.    1 
11 
21 

18.92 

0.89 
10.86 

20.84 

0.656 
0.446 
—0.214 
+0.039 

2 

2 
2 

2 

197 
221 
243 
263 

6.82 
7.64 

8.17 
8.35 

96 
68 
36 
—    1 

100 
200 
300 
400 

0.241 
0.148 
+0.054 
—0.041 

8.63 
8.44 
8.17 

7.83 

0.620 
0.546 

0.468 
0.385 

8.39 

8.54 
8.62 
8.62 

31 

30.81 

0.310 

2 

278 

8.19 

0 

+  35 

1867. 

1875. 

100,  Apr.  10 

9.78 

0.593 

3 

289 

7.65 

0 

71 

0 

—0.009 

+7.95 

—0.414—8.63 

20 

19.75 

0.886 

3 

296 

6.78 

0 

103 

100 

0.104 

7.56 

0.329     8.58 

30 

29.73 

1.184 

3 

298 

5.59 

134 

200 

0.198 

7.11 

0.242     8.47 

May  10 

9.70 

1.480 

2 

293 

4.12 

159 

300 

0.290 

6.60 

0.154     8.29 

20 

19.67 

1.768 

2 

282 

2.43 

178, 

400 

0.380     6.02 

0.063     8.04 

30 

29.64 

2.042 

2 

266 

—  0.57 

192 

1868  B. 

1876  B. 

June  9 

8.62 

2.298 

2 

244 

+  1.39 

199 

19 

18.59 

2.528 

2 

214 

3.40 

202 

0 

—0.3501+6.22 

—0.094 

—8.13 

29 

28.56 

2.725 

1 

180 

5.41 

199 

100 

0.437     5.62 

—0.003 

7.83 

July  9 

8.54 

2.886 

—  1 

141 

7.36 

1 

190 

200 
300 

0.520     4.96 
0.599     4.27 

+0.087 
0.177 

7.48 
7.05 

2CO,           19 

18.51 

3.005 

0 

98 

9.20 

2 

178 

400 

0.672 

3.53 

0.265 

6.57 

29 

28.48 

3.082 

0 

54 

10.92 

2 

162 

Aug.  8 

7.45 

3.112 

+  1 

+  JO 

12.44 

2 

143 

1869. 

1877. 

18 

28 

17.43 

27.40 

3.101 
3.046 

1 
1 

—  33 
73 

13.78 
14.89 

2 
2 

122 

100 

0 
100 

—0.648 

0.718 

+3.78 
.  3.03 

+0.236 
0.323 

-6.74 
6.22 

Sept.  7 
17 

27 

6.37 
16.34 
26.32 

2.956 
2.833 
2.687 

1 

1 
2 

108 
136 
155 

15.77 
16.43 
16.85 

2 
3 
3 

77 
54 
31 

200 
300 
400 

0.781 
0.837 
0.885 

2.26 

1.46 
0.65 

0.408 
0.489 
0.567 

5.65 
5.03 
4.37 

Oct.    7 

6.29 

2.525 

2 

167 

17.04 

3 

+    8 

1870. 

1878. 

17 

16.26 

2.356 

2 

J68 

17.00 

4 

—  16 

0 

—  0.870J+0.93 

.4-0.541:—  4.60 

300,          27 

26.23 

2.191 

2 

161 

16.73 

4 

39 

100 

0.913+0.12 

0.615J     3.91 

Nov.  6 

5.21 

2.036 

3 

146 

16.22 

4 

62 

200 

0.949—0.69 

0.685     3.20 

16 

15.18 

.901 

3 

124 

15.50 

5 

82 

300 

0.976 

!1.49 

0.749 

2.45 

26 

25.15 

.791 

2 

95 

14.58 

5 

102 

400 

0995 

2.27 

0.80& 

1.68 

Dec.    6 

5.13 

.713 

2 

61 

13.47 

5 

120 

1871. 

1879. 

16 
26 
36 

15.10 

25.07 
35.04 

.669 
.663 
+1.693 

2 
1 

+  1 

—  25 

+  1« 

+  48 

12.18 
10.76 
+  9.30 

5 
5 
+  5 

135 
144 

—150 

0 
100 
200 

—0.989 
1.003 
1.007 

—2.01 

2.78 
3.53 

-t-0.789 

0.842 
0.889 

-1.94 
1.16 

—0.37 

300 

l.OOo 

4.24 

0.929+0.43 

400 

0.991 

4.91 

0.96l|     1.23 

1872  B. 

18SOB. 

*  6  0,                  Jan.  17.1. 

#  c5  Mean  Sun,     Jan.  19.7. 

0 

—0.996—4.69 

+0.951+0.96 

100 

0.978 

5.34 

0.978 

1.75 

20( 

0.952 

5.94 

0.996 

2.53 

300 

0.9J8 

6.49 

1.006     3.29 

400 

-0.877—6.98 

+1.008+4.02 

SPECIAL  TABLES. 


217 


TABLE  XXIY.-^/cCephei. 

h    m                                                    °      ' 

R.A.  20  13.2.                        Dec.  +  77  19. 

Upper  transit  at  fictitious  meridian. 

A0a 

^ 

Side-! 
real  i    AQ<Z 
Day. 

*a« 

AQO    i     AQO 

;  SiQcr6cil  Dsy. 

1S7O. 

Var.in 
10  y. 

Diff.  foi 
10  d. 

1870. 

Var.in  Diff.  for 
10  y.       10  d. 

1865. 

8                     " 

1873. 

8 

0  +0.831 

+8.52 

—0.166—7.01 

T 

1001    0.959 

8.63 

0.313 

7.4'^ 

3 

// 

200 

1.080 

8.66 

0.457 

7.76 

0,Jan.    0         0.06 

-17 

—465 

+  8.34 

—  2 

—298 

300     1.191 

8.62 

i    0.5971    8.05 

10 

10.04 

r>]  965 

17 

289 

5.22 

2 

324 

400     1.292 

8.51 

|    0.732 

8.26 

20       20.01 

6.161 

16 

—102 

+  1.90 

2 

338 

30 

29.98 

6.167 

15 

+  89 

—  1.49 

3 

339 

1866. 

1874. 

Feb.    9 

8.96 

5.984 

14 

276 

4.84 

3 

327 

0+1.260 

+8.55 

-0.686 

—8.20 

19 
Mar.   1 
11 
21 

18.93 
0.90 

10.87 
20.85 

5.618 
5082 
4.394 
3,581 

12 

10 
7 
4 

454 
616 
754 
866 

8.00 
10.85 
13.29 
15.22 

2 
2 
2 
2 

303 
266 
220 
1(55 

100 
200 
300 
400 

1.353 
1.435 
1.504 
1.560 

8.39      0.8181    8.37 
8.15      0.942     8.47 
7.84  1     1.058     8.50 
7.46      1.165     8.46 

31 

30.82 

2.672 

—  2 

948 

16.58 

1 

105 

1861'. 

18Vo. 

100,  Apr.  10 
20 

9.79 
19-76 

1.697 
-0.690 

3 

996 
1011 

17.31 
17.41 

1 
—  1 

—  42 
+  23 

0+1.543 
100     1.590 

+7.6C 

7.18 

—1.130'—  8.48 
1.23li    8.40 

30 

29.74 

+0.3J5 

5 

993 

16.86 

0 

85 

200 

1.624 

6.69 

1.321 

8.24 

May  10 

9.71 

1.286 

7 

943 

15.71 

0 

144 

300 

1.643 

6.15 

1.401 

8.02 

20 

19.68 

2.191 

9 

864 

13.99 

+  I 

198 

400 

1.648 

5.56 

1.469 

7.74 

30 

29.66 

3.005 

10 

760 

11.77 

1 

245 

1868  B. 

1876  B. 

June  9 
19 

8.63 
18.60 

3.704 
4.268 

10 
10 

634 
491 

9.12 
6  11 

1 
1 

285 
316 

0 

+1.648+5.76 

!_1.447  _7.84 

29 

28.57 

4.681 

9 

335 

—  2.83 

1 

339 

100!     1.644 

5.14 

1.507 

7.51 

July  9 

8.55 

4.935 

8 

170 

+  0.64 

1 

353 

200!    1.625 
300     1.592 

4.47ii     1.554 
3.76      1.589 

7.12 

6.67 

200,          19 

18.52 

5.021 

7 

+    3 

4.20 

1 

358 

400 

1.545 

3.02      1.611 

6.16 

29 

S8.49 

4.940 

5 

—164 

7.77 

1 

355 

Aug.  8 

7.46 

4.693 

+  2 

327 

11.28 

1 

345 

1869. 

1877. 

18 
28 

17.44 
27.41 

4.287 
3.733 

0 
—  3 

482 
625 

1464 
17.80 

+  1o 

327 
302 

0 
100 

+1.565 
1.507 

+327 
2.51 

—1.605-6.34 
1.618     5.80 

Sept.  7 
17 
27 

638 
16.36 
26.33 

3.043 
2.235 
1.327 

6 
9 
12 

752 

861 
950 

20.67 
23.19 
25.33 

0 
0 

—  1 

271 
234 
191 

200 
300 
400 

1.439 
1.358 
1.265 

1.74      1.6181     5.21 
0.95      1.605|    4.57 
0.15      1.578!    3.90 

Oct.    7 

6.30 

+0.343 

16 

1016 

27.01 

1 

144 

1870. 

1878. 

17 

16.27 

-0.696 

19 

1056 

28.19 

2 

93 

0 

+1.298  +0.42  j—  1.588  —4.13 

1  300,          27 

26.25 

1.760 

22 

1069 

28.85 

2 

+  38 

100 

1.198—0.381     1.553 

3.44 

Nov.  6 

5.22 

2.825 

24 

1055 

28.94 

3 

-  19 

200 

1.C89     I.I7H     1.504 

2.71 

16 

15.19 

3.861 

27 

1012 

2847 

3 

76 

300 

0.970     1.95 

;    1.443 

1.96 

26 

25.16 

4.840 

29 

941 

27.42 

3 

133 

400 

0.843[    2.71 

1.370 

1.20 

Dec.   6 

5.14 

5.733 

31 

841 

25.82 

4 

186 

1871. 

1879. 

16 
26 
36 

15.11 

25.08 
35.06 

6.513 
7.  157 
—7.643 

32 
33 
—33 

716 

568 
—401 

23.71 
21.15 
+18.21 

4 
4 
—  5 

235 

277 
—309 

0 
100 
200 

+0.887 
0.755 
0.618 

—2.45  —  .396—1.46 
3.20:       .315—  0.68 
391'       .223+0.10 

300     0.476 

4.59 

i      .121 

0.89 

400     0.330 

5.23 

:          .009 

1.67 

1872  B. 

1880  B. 

%  6  ©,                  Jan.  207. 

J£  6  Mean  Sun,     Jau.  23  6. 

0+0.380J—  5.02 

—1.048+1.41 

>|c  S  Mean  Sun,     July  25  2. 

ICO     0232     5.63 
200+0083     6.19 

:    0.929     2.18 
:    0.8031    2.93 

300  —  0  067     6.70 
400—  0^16—  7.15 

;    0.670;    3.67 
—  0.530J+4.37 

218' 


SPECIAL  TABLES. 


TABLE  XXIV.-a  Pavonis. 

h    m                                                  °     ' 

R.A.  20  15.4.                       Dec.  —  57    9. 

Upper  transit  at  fictitious  meridian. 

AQa 

A0<* 
' 

Side- 
real 

AQa 

A£^ 

AQa 

AQJ 

\ls 

Day. 

Sidereal  Day. 

1870. 

Var.  in 
10  y. 

Diff.  foi 
]0d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                    " 

1873. 

8                       " 

0 

+0.559 

+8.51 

—  1.168 

-7.03 

100 

0.403 

8.62 

1.047 

7.14 

s 

// 

200 

0.244 

8.05 

0.918 

7.7  S 

0,Jan.    0 

0.07 

—2.266 

+  6 

+   18 

—  7.37 

—  5 

+216 

300 

+0.082 

8.60 

0.781 

8.05 

10 

10.04 

2.213 

4 

88 

5.13 

5 

231 

400 

—0.081 

8.48 

0.638 

8.26 

20 

20.01 

2.091 

+  2 

155 

2.77 

5 

240 

30 

29.99 

1.905 

0 

217 

—  0.35 

5 

243 

I860. 

1874. 

Feb.    9 

8.96 

1.658 

—  1 

276 

+  2.07 

5 

240 

0 

—0.026 

+8.53 

—0.687 

—8.20 

19 
Mar.   1 
11 
21 

18.93 
0.90 

10.87 
20.85 

1.354 
1.003 
0.605 
—0.170 

3 
4 
5 

7 

328 
375 
417 

452 

4.43 
6.70 

8.82 
10.77 

5 
4 
3 

2 

232 

220 
204 
184 

100 
200 
300 
400 

0.188 
0.349 
0.507 
0.661 

8.36 
8.12 
7.80 

7.42 

0.540 
0.390 
0.236 
0.08! 

8.36  I 
8.45 
8.48 
8.43 

31 

30.82 

+0.297 

8 

480 

12.50 

2 

161 

1867. 

1875. 

100,  Apr.  10 

9.79 

0.788 

9 

502 

13.99 

—  1 

135 

0 

—0.611 

+7.56 

—0.133 

—8.45 

20 

19.77 

1.298 

10 

516 

15.20 

+  l 

105 

100 

0.761 

7.13 

+0.02^ 

8.36 

30 

29.74 

1.817 

11 

522 

16.09 

2 

74 

200 

0.904 

6.64 

0.177 

8.20 

May  10 

9.71 

2.338 

11 

517 

16.67 

3 

41 

300 

1.039 

6.10 

0.331 

7.97 

20 

19.69 

2.848 

11 

503 

16.91 

4 

+    6 

400 

1.165 

5.50 

0.482 

7.68 

30 

29.66 

3.340 

10 

478 

16.79 

5 

—  29 

1868  B. 

1876  B. 

June  9 
19 

8.63 
18.60 

3.800 
4.220 

10 
9 

442 

396 

16.33 
15.52 

6 
6 

63 
96 

0 

—1.123 

+5.71 

+0.4321—7.78 

29 

28.57 

4.588 

8 

338 

14.41 

7 

127 

100 

1.242 

5.08 

0.5801    7.45 

July   9 

8.55 

4.894 

7 

272 

12.98 

8 

154 

200 
300 

1.350 
1.446 

4.40 
3.69 

0.723 
0.861 

7.  05 
6.59 

200,          19 

18.52 

5.130 

7 

200 

11.33 

9 

175 

400 

1.530 

2.95 

0.992 

6.08 

29 

28.49 

5.292 

6 

123 

9.49 

9 

191 

Aug.  8 

7.47 

5.375 

5 

+  43 

7.52 

10 

200 

1869. 

1877. 

18 
28 

17.44 
27.41 

5.379 
5.304 

3 

—  2 

—  36 
111 

5.51 
3.51 

9 
9 

202 
196 

0 
100 

—1.503'  +3.  20 
1.577     2.44 

+0.949 
1.075 

-£25 

5.71 

200 

1.638     1.67 

1.191 

5.11 

Sept.  7 

6.38 

5.159 

0 

179 

+  1.61 

9 

182 

300 

1.684     0.88 

1.298 

4.48 

17 

16.36 

4.950 

+  ] 

237 

—  0.10 

8 

160 

400 

1.7161     0.08 

1.395)     3.fcO 

27 

26.33 

4.689 

2 

281 

1.56 

8 

131 

Oct.    7 

6.30 

4.393 

3 

310 

2.70 

7 

96 

1870. 

1878. 

17 

16.27 

4.074 

4 

324 

3.47 

6 

57 

0 

—1.707 

+0.35 

+1.364 

-4.03 

300.         27 

26.25 

3.749 

4 

320 

3.83 

5 

—  15 

100 

1.728 

—0.45 

1.453 

3.34 

Nov.   6 

5.22 

3.438 

4 

300 

3.77 

4 

+  28 

200 

1.735 

1.24 

1.531 

2.61 

16 

15.19 

3.153 

4 

266 

3.28 

3 

70 

300 

1.727 

2.01 

1.595 

1.86 

26 

25.17 

2.910 

3 

218 

2.37 

2 

110 

400 

1.703 

2.77 

1.647 

1.09 

Dec.   6 

5.14 

2.721 

2 

160 

—  1.09 

2 

147 

1871. 

1879. 

16 
26 
36 

15.11 

25.08 
35.06 

2.592 
2.532 
-f2.542 

2 
—  1 

95 
—  25 
+  44 

+  0.55 
2.46 
+  4.59 

1 

+  1 
0 

178 
203 
+222 

0 
100 
200 

—1.713 
L631 

1.634 

—2.52 
3.26 
3.97 

+1.631 
1.674 
1.703 

—  1  36 

—0.58 
+0.20 

300 

1.573 

4.64 

1.718 

0.99 

400 

1.499 

5.28 

1.718 

1.76 

1872  B. 

1880  B. 

%  c5  0,                 Jan.  21.2. 

3JC  6  Mean  Sun,     Jan.  24.2. 

0 

—  1.526  —  5.07i'+1.719  +1  .50 

100 

1.4441    5.67 

1.710 

2.27 

200 

1.350     6.23 

1.6b7 

3.02 

300 

1.245     6.73 

1.649 

3.75 

400 

—  1.130-7.17 

j+1. 

+4.4.) 

SPECIAL  TABLES. 


219 


TABLE  XXIV.-7T  CapricorHi. 

h    m                                                       o      / 

E.A.  20  19.9.                       Dec.  —  18  38. 

Upper  transit  at  fictitious  meridian. 

A    a 

O 

AQd 

Side- 
real 

AQa 

An* 

AQa 

AQ(J 

Day. 

SidtTt^Eil  Dsy. 

Mo  fill  Dfly  . 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

187O. 

Var.  iu 

10  y. 

Diff.  for 

10  d. 

1865. 

8                    " 

1873. 

8                     " 

0 

+0.614 

+8.49 

—0.965 

—7.08 

100 

0.516 

8.59 

0.90J 

7.47 

8 

u 

200 

0.413 

8.6U 

0.827 

7.80 

0,  Jan.  0 

0.07 

—1.269 

+  2 

+  30 

—  3.64 

—  1 

—     1 

300 

0.306 

8.54 

0.746 

8.06 

10 

10.04 

1.220 

1 

67 

3.62 

1 

+    6 

400 

0.197 

8.41 

0.659 

8.25 

20 

20.01 

1.135 

+  1 

103 

3.52 

1 

14 

30 

29.99 

1015 

0 

136 

3.34 

2 

23 

1866. 

1874. 

Feb.   9 

8.96 

0.863 

—  1 

168 

3.06 

2 

34 

0 

+0.234 

+8.46 

—0.689 

—8.20 

19 
Mar.   1 
11 
21 

1893 
0.91 

10.88 
20.85 

0.680 
0.469 
—0.235 
+0.023 

1 

2 
2 
3 

197 
223 
247 
270 

2.67 
2.14 

1.48 
—  0.68 

2 

—  1 
0 
0 

46 
59 
73 

87 

100 

200 
300 

40U 

0.123 
+0.011 
—0.100 
0.212 

8.2* 
8.03 
7.70 
7.31 

0.599 
0.503 
0.404 
0.302 

8.34 
8.42 

8.44 
8.38 

31 

30.82 

0.303 

3 

289 

+  0.26 

0 

100 

1867. 

1875. 

100,  Apr.  10 

9.80 

0.599 

4 

303 

1.31 

0 

110 

0 

—0.174 

+7.45 

—0.3371—8.40 

20 

19.77 

0.907 

4 

314 

2.45 

0 

118 

100 

0.284 

7.01 

0.233 

8.30 

30 

29.74 

1.225 

4 

320 

3.65 

0 

123 

200 

0.392 

6.51 

0.127 

8.13 

May  10 

20 

9.71 
19.69 

1.545 
1.864 

4 
4 

321 
315 

4.89 
6.11 

0 

+  1 

124 
121 

300 
400 

0.496 
0.595 

5.96 
5.36 

—0.0-21 
+0.088 

7.89 
7.58 

30 

29.66 

2.172 

4 

301 

7.30 

1 

115 

1868  B. 

1876  B. 

June  9 

8.63 

2.464 

3 

281 

8.40 

2 

105 

19 

29 
July    9 

18.61 

28.58 
8.55 

2732 
2.970 
3.172 

3 
2 

2 

254 
221 
182 

9.38 
10.21 
10.85 

2 
3 
4 

91 
74 

57 

0 
100 
200 
300 

—0.562 
0.658 
0.748 
0.831 

+5.57 
4.93 
4.25 
3.54 

+0.050 
0.157 
&261 

0.365 

—7.69 
7.35 
6.94 
6.47 

200,          19 

18.52 

3.333 

1 

138 

11.34 

4 

40 

400 

0.908 

2.80 

0.465     5.96 

29 

28.50 

3.448 

1 

91 

11.64 

4 

22 

Aug.  8 

747 

3.516 

—  1 

+  44 

11.78 

5 

+    5 

1869. 

1877. 

18 

28 

17.44 
27.41 

3.536 
3.510 

0 

+  1 

—     3 
47 

11.74 
11.57 

5 
5 

—  11 

23 

0 
100 

—0.883 
0.954 

+3.05 
2.29 

+0.431—6.13 

0.529     5.58 

Sept.  7 
17 
27 

6.39 
16.36 
26.33 

3.443 

3.339 
3.205 

1 
1 
2 

86 
120 
145 

11.29 

10.92 
10.49 

5 
5 
4 

32 
40 
43 

200 
300 
400 

1.016 
1.069 
1.113 

1.51 

+0.73 
—0.07 

0.623 
0.711 
0.794 

4.98 
4.34 
3.66 

Oct.    7 

6.30 

3.051 

2 

160 

10.06 

4 

43 

187O. 

1878. 

17 

16.28 

2.888 

3 

166 

9.63 

4 

43 

0 

—  1.099  +0.2C 

+0.767 

-3.89 

300,          27 

26.25 

2.722 

3 

164 

9.21 

4 

39 

100 

1.137—0.59 

0.845 

3.20 

Nov.  6 

5.22 

2.563 

3 

150 

8.86 

4 

34 

200 

1.164      1.37 

0.917 

2.47 

16 

15.20 

2.424 

2 

128 

8.53 

4 

29 

300 

1.182     2.14 

0.981 

1.72 

26 

25.17 

2.309 

2 

100 

8.27 

3 

23 

400 

1.1  89|    2.89 

1.038 

0.95 

Dec.  6 

5.14 

2.225 

2 

68 

8.07 

3 

17 

1871. 

1879. 

16 

26 
36 

15.11 

25.09 
35.06 

2.175 
2.162 
+2.187 

1 

0 

—  32 

+    6 
+  44 

7.93 

7.84 
+  7.83 

3 
3 

+  3 

11 
—    5 
+    2 

0 
100 
200 

—1.188 
1.189 
1.179 

—2.64 
3.37 

4.08 

+1.020 
1.071 
1.113 

—1.21 

—0.44 
+0.34 

300 

1.160 

4.74 

1.145 

1.12 

400 

1.131 

5.37 

1.169 

1.89 

1872  B. 

1880  B. 

*  d  0,                  Jan.  22.3. 

^  d  Mean  Sun,    Jan.  25.3. 

0 
100 

—  1.141J—  5.16 
1.106     5.75 

+1.162 
1.179 

+1.63 
2.39 

200 

1.061      6.30 

1.186 

3.14 

300 

1.008     6.79 

1.183 

3.86 

400 

-0.94G—  7.22  +1.170+4.54 

220 


SPECIAL  TABLES. 


TABLE  XXIV.-.  Delphini. 

h    m                                                       o      / 

R.A.  20  27.0.                        Dec.  -f  10  52. 

Upper  transit  at  fictitious  meridian. 

A0<z 

AQ(5 

Side- 
real 

AQG 

Ar^d 

AQG 

AUQ<> 

Day. 

o\f\  IVAH!  T~>nv 

Ale  £in  Duy. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.in 

10  y. 

Diff.  for 
10  d. 

1865. 

8                     " 

1873. 

s               " 

0 

+0.649+8.46 

—  0.890;—  7.15 

100 

0.-576 

8.5b 

0.846i     7.52 

S 

// 

200 

0.498 

8.53 

0.797!     7.82 

0,  Jan.   0 

0.07 

—1.198 

+   1 

+    6 

+  0.90 

+   1 

—158 

300 

0.415 

8.45 

0.741'     8.06 

10 

10.05 

1.175 

+   1 

40 

—  0.71 

1 

162 

400 

0.329 

8.29 

0.6/9;     8.23 

20 

20.  C2 

1.118 

0 

74 

2.33 

1 

161 

30 

29.99 

1.028 

0 

107 

3.91 

1 

152 

1866. 

1874. 

Feb.  9 

8.96 

0.905 

0 

139 

5.35 

1 

136 

0 

+0.358+8.35 

—0.700—8.18 

19 
Mar.   1 
11 
21 

18.94 
0.91 

10.88 
20.86 

0.750 
0.567 
0.356 
—0.121 

—  1 

2 
2 
2 

169 
197 
223 
246 

6.61 
7.61 

8.30 
8.64 

1 
1 
1 
0 

114 

85 
52 
—  15 

100 
200 
300 
400 

0.270 
0.179 
+0.087 
—0.006 

8.15 
7.87 
7.5L 
7.12 

0.635 
0.564 

0.488 
0.409 

8.31 

8.37 
8.36 

8.28 

31 

30.83 

+0.136 

2 

267 

8.60 

0 

+  23 

1867. 

1875. 

100,  Apr  10 
20 

9.80 
19.77 

0.412 
0.701 

3 
3 

283 

295 

8.19 
7.39 

0 
0 

61 

98 

0 
100 

+0.026 
—  O.U67 

+7.2? 

6.8* 

—0.436 
0.355 

—8.32 
8.19 

30 

29.75 

1.000 

3 

301 

6.24 

0 

132 

200 

0.160 

6.31 

0.271 

8.00 

May  10 

9.72 

1.301 

2 

302 

4.76 

0 

162 

300 

0.251 

5.75 

0.184 

7.74 

20 

19.69 

1.601 

2 

295 

3.02 

0 

185 

400 

0.340 

5.13 

0.096     7.42 

30 

29.66 

1.889 

2 

281 

—  1.08 

0 

203 

1868  B. 

1876  B. 

June  9 
19 

8.64 
18.61 

2.161 

2.4G9 

2 
2 

261 
235 

+  1.02 
3.23 

0 
0 

217 
223 

C 

—0.310+5.34 

-0.126—7.54 

29 

28.58 

2.629 

1 

203 

5.45 

,0 

221 

100 

0.397 

4.7C 

—0.038     7.17 

July  9 

8.56 

2.813 

j 

164 

7.63 

1 

215 

200 

300 

0.480     4.0* 
0.559     3.3C 

+0.051      6.75 
0.140     6.28 

200,          19 

18.53 

2.956 

0 

122 

9.74 

1 

205 

400 

0.6321    2.5£ 

0.227     5.75 

29 

28.50 

3.057 

0 

79 

11.72 

1 

190 

Aug.  8 

7.47 

3.113 

+  1 

+  33 

13.53 

1 

172 

1869. 

1877. 

IS 
28 

17.45 
27.42 

3.124 
3.093 

1 
1 

—  10 

52 

15.15 
16.55 

2 
2 

151 

128 

('. 
100 

-0.608+2.81 
0.678     2  0£ 

+0.197 
0.284 

—5.93 
5.36 

Sept.  7 
17 

27 

6.39 
16.36 
26.34 

3.021 
2.9  J  5 
2.783 

1 
1 

2 

90 
120 
143 

17.7, 

18.63 
19.27 

2 

2 
2 

104 
78 
52 

200 
300 
400 

0.742 
0.799 
0.850 

1.2? 

+0.49 
—0.30 

0.368 

0.449 
0.526 

4.76 
4.11 
3.43 

Oct.    7 

6.31 

2.631 

2       159 

19.66 

3 

+  26 

1870. 

1878. 

17 

16.28 

2.467 

3 

166 

19.78 

3 

i 

0 

—0.834 

—  O.OS 

+0.501 

—3.66 

300,          27 

26.25 

2.301 

3 

164 

19.64 

4 

27 

100 

0.879 

0.8-2 

0.576 

2.96 

Nov.  6 

5.23 

2.141 

3 

153 

19.25 

4 

52 

200 

0.917 

1.59 

0.646 

2.23 

16 

15.20 

1.996 

2  i     135 

18.61 

4 

76 

300 

0.947 

2.35 

0.711 

1.48 

26 

25.17 

1.872 

2       112 

17.73 

4 

100 

400 

0.968 

3.09 

0.770 

0.72 

Dec.  6 

5.15 

1.773 

2 

84 

16.62 

4 

122 

1871. 

1879. 

16 
26 
36 

15.12 

25.09 
35.06 

1.706 
1.672 
+  1.672 

2 

2 
+  1 

51 
—  17 

-f  17 

15.31 
13.85 
+12.29 

4 
4 

+  4 

139 
152 
—160 

0 
100 
200 

-0.962 

0.978 
0.986 

—2.84 
3.5C 
4.25 

+0.751 

0.806 
0.855 

—0.98 
—0.21 

+0.56 

30(J 

0.985 

4.89 

0.89? 

1.33 

400 

o!976 

5.51 

0.931 

2.10 

1872  B. 

1880  B. 

*  6  0,                 Jan.  24.0. 

*  6  Mean  Sun,     Jan.  27.1. 

0 

—0.980—  5.  3G 

+0.918]+!.  84 

100 

0.966     5.8b 

0.949 

2.59 

200 

0.943     6.4C 

0.971 

3.32 

300 

0.913!     6.8? 

0.984      4.03 

400 

—0.875—  7.  2b 

+0.989  +4.70  I 

i 

SPECIAL  TABLES. 


221 


TABLE  XXIV.-*  Groombridge  3241. 

h    m                                                       o      / 

R.A.  20  30.5.                       Dec.  +  72    5. 

Upper  transit  at  fictitious  meridian. 

A0a 

AQ<J      ' 

Side- 
real 

AQa 

AQd 

AQa 

A    d 

\ 

\~s 

Day. 

Siusrcul  D&y. 

1870. 

Var.in 
10  y. 

Diff.  foi 
10  d. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

1873. 

8 

0 

+0.902 

+8.44 

—0.505 

-7.18 

100 

0.968 

8.50 

0.598 

7.54 

a 

ir 

200 

1.026 

8.48 

0.685 

7.83 

0,Jan.    0 

0.07 

-3.826 

—  ^  7 

—341 

+  9.32 

0 

—289 

300 

1.075 

8.39 

0.76? 

8.06 

10 

10.05 

4.108 

8 

222 

6.28 

0 

317 

400 

1.114 

8.23 

0.843 

8.22 

20 

20.02 

4.266 

8 

—  93 

+  3.01 

0 

335 

30 

29.99 

4.293 

9 

+  39 

—  0.38 

0 

339 

1866. 

1874. 

Feb.    9 

8.96 

4.187 

8 

171 

3.74 

0 

331 

0 

+1.102 

+8.29 

—0.818—8.18 

19 
Mar.    1 
11 
21 

18.94 
0.91 

10.88 
20.86 

3.952 
3.595 
3.126 
2.561 

8 
8 
7 
6 

297 
417 
521 

606 

6.95 
9.89 
12.44 
14.50 

0000 

310 
276 
232 
179 

100 
200 
300 
400 

1.135 
1.158 
1.171 
1.174 

8.08 
7.79 
7.44 
7.03 

0.889 
0.952 
1.00? 
1.054 

8.29 
8.34 
8.32 
8.23 

31 

30.83 

1.919 

4 

674 

15.99 

0 

120 

1867. 

1875. 

100,  Apr.  10 

9.80 

1.220 

3 

720 

16.88 

0 

-  57 

0 

+1.174 

+7.17 

—1.039 

—8.27 

20 

1977 

-0.488 

2 

742 

17.13 

0 

+    7 

100 

1.171 

6.72 

1.081 

8.14 

30 

29.75 

+0.257 

—  1 

741 

16.74 

0 

71 

200 

1  15? 

6.20 

1.113 

7.94 

May  10 

9.72 

0.988 

+  1 

718 

15.73 

0 

131 

300 

1.132 

5.63 

1.136 

767 

20 

19.69 

1.686 

2 

673 

14.13 

0 

187 

400 

1.098 

5.01 

1.150 

7.34 

30 

29.66 

2.328 

3 

608 

12.01 

0 

236 

1868  B. 

1876  B. 

June  9 

8.64 

2.897 

3 

527 

9.43 

0 

278 

19 

18.61 

3.377 

4 

431 

6.47 

0 

312 

0 

+1.111 

+5.23 

—  .146-7.46 

29 

28.58 

3.754 

4 

323 

—  3.22 

0 

338 

100 

1.071 

458 

.154     7.09 

July  9 

8.56 

4.022 

4 

208 

+  0.25 

0 

355 

200 
300 

1.021 
0.963 

3.89 
3.17 

.152 
.140 

6.66 
6.18 

200,          19 

18.53 

4.170 

4 

+  88 

3.84 

0 

363 

400 

0.896 

2.43 

.119 

5.65 

29 

28.50 

4.198 

4 

—  33 

7.48 

0 

363 

Aug.  8 

747 

4.105 

3 

153 

11.07 

0 

355 

1869. 

1877. 

18 

28 

17.45 
27.42 

3.894 
3.572 

3 
2 

268 
375 

14.55 
17.83 

0 
0 

339 
316 

0 
100 

+0.919 

0.848 

+2.68 
1.9* 

—  .127—5.83 
.100     5.27 

Sept.  7 
17 
27 

6.39 
16.36 
26.34 

3.147 
2.633 

2.040 

+  1 
—  0 
2 

472 
557 
626 

20.85 
23.54 
25.85 

0 
0 
0 

287 
251 
210 

200 
300 
400 

0.769 
0.683 
0.592 

1.15 
+0.3? 
—0.41 

064 
.019 
0.965 

4.66 
4.01 
3.32 

Oct.    7 

6.31 

1.386 

3 

679 

27.72 

0 

163 

187O. 

1878. 

17 

16.28 

+0.688 

4 

714 

29.10 

0 

112 

0 

+0.624—0.15 

—0.985 

—3.56 

300,          27 

26.25 

-0.036 

6 

730 

29.96 

0 

58 

100     0.529     0.93 

0.926 

2.85 

Nov.   6 

5.23 

0.766 

7 

-726 

30.25 

0 

+     1 

200 

0.43U     1.70 

0.859 

2.13 

16 

15.20 

1.481 

g 

701 

29.97 

0 

-5S 

300 

0.328     2.45 

0.785 

1  38 

26 

25.17 

2.161 

10 

656 

29.10 

0 

115 

400 

0.223     3.18 

0.704 

0.62 

Dec.   6 

5.15 

2.786 

11 

592 

27.67 

0 

170 

1871. 

1879. 

16 
26 
36 

15.12 

25.09 
35.06 

3.338 
3.799 
—4.154 

12 
13 
—14 

509 
410 

—298 

25.71 
23.27 
+20.43 

0 
0 
0 

221 

265 
—301 

100 

200 

+0.259 
0.153 
+0.046 

-2.94 
3.65 
4.33 

—0.732—0.87 
0.647  —0  1  1 
0.557  +0.66 

300—0.062 

4.97 

0.462J     1.43 

400 

0.168 

5.57 

0.362J     2  19 

1872  B. 

1880  B. 

*  6  0,                 Jan.  24  9. 

5JC  (3  Mean  Sun,     Jan.  28  0. 

0 

—0.133 

—5.37 

—0.396  +  1.93 

4c  8  Mean  Sun,     July  29.6. 

100!     0.238 

5.93 

0.295 

2.68 

200     0.341 

6.45 

0.190 

3.41 

300!     0.441 

6.91 

—0.082 

4.10 

400  —0.53? 

-7.31 

+0.024 

+4.7? 

222 


SPECIAL  TABLES. 


TABLE  XXIV.—  p  Aquarii. 

h    m                                                 °      ' 

R.A.  20  45.6.                       Dec.  —    9  28. 

Upper  transit  at  fictitious  meridian. 

A0a 

A0rf 

Side- 
real 

AQa 

AQd 

AQa 

6Qd 

. 

Day. 

Sidcrtul  Day. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.in 

10  y. 

Diff.  for 
10  d. 

1865. 

1873. 

H                     " 

0 

+0.613 

+8.34 

—0.932 

-7.29 

100 

0.523 

8.35 

0.873 

7.61 

8 

// 

200 

0.428 

8.29 

0.806 

7.85 

0,  Jan.   0 

0.09 

—1.143 

+  2 

4-   4 

—  267 

0 

-  50 

300 

0.330 

8.15 

0.73:^ 

8.03 

10 

10.06 

1.121 

38 

3.15 

0 

45 

400 

0.228 

7.95 

0.654 

£.15 

20 

20.03 

1.067 

4-  1 

70 

3.57 

0 

38 

30 

30.01 

0.981 

0 

102 

3.90 

0 

27 

1866. 

1874. 

Feb.    9 

8.98 

0.863 

0 

133 

4.10 

0 

—  13 

0 

+0.263 

+8.02 

-0.681 

-8.12 

19 
Mar.   1 
11 
21 

18.95 
0.92 
10.90 
20.87 

0.716 
0.540 
0.336 
-0.107 

—  1 
1 

2 
3 

162 

190 
217 
241 

4.16 
4.04 
3.71 
3.18 

0 
0 
0 
0 

4-    3 
22 
43 
64 

100 
200 
300 

400 

0.159 
+0.055 
—0.050 
0.155 

7.77 
7.45 
7.06 
6.62 

0.599 
0.511 

0.420 
0.325 

8.19 
8.19 
8.12 
7.99 

31 

30.84 

+0.145 

3 

263 

2.43 

0 

85 

1867. 

1875. 

100,  Apr.  10 
20 

9.81 

19.79 

0.417 

0.707 

3 
3 

282 
297 

1.47 

—  0.31 

0 
0 

106 
124 

0 
100 

-0.120 
0.223 

+6.77 
6.29 

—0.358 
0.261 

—8.04 

7.87 

30 

29.76 

1.009 

3 

306 

+  0.99 

0 

138 

200 

0.325 

5.74 

0.1  1'.3 

7.63 

May  10 

9.73 

1.318 

3 

310 

2.43 

0 

149 

300 

0.424 

5.15 

—  0.063 

7.33 

20 

19.70 

1.628 

3 

309 

3.95 

0 

154 

400 

0.520 

4.52 

+0.03? 

6.96 

30 

2968 

1.933 

3 

300 

5.50 

4-  J 

155 

1868  B. 

1876  B. 

June  9 

8.65 

2.225 

3 

283 

7.04 

1 

152 

19 

18.62 

2.497 

3 

259 

8.f>3 

1 

144 

0 

—0.488 

+4.74 

+0  004  —7.  C9 

29 

28.60 

2.742 

2 

230 

9.90 

1 

132 

100 

0.580 

4.07 

0.104 

6.69 

July   9 

8.57 

2.955 

2 

195 

11.16 

2 

118 

200 
300 

0.667 
0.74fc 

3.38 
2.65 

0.203 
0.301 

6.23 
5.73 

200,           19 

18.54 

3.130 

2 

154 

12.26 

2 

100 

40C 

0.822 

1.91 

0.396 

5.17 

29 

28.51 

3.262 

1 

110 

13.16 

2 

81 

Aug.  8 

7.49 

3.349 

—  1 

64 

13.88 

3 

62 

I860. 

1877. 

18 
28 

17.46 
27.43 

3.390 
3.386 

0 
0 

+  18 
—  26 

14.41 
14.75 

3 
3 

43 
26 

0 

100 

—0.798 
0.867 

+2.16 
1.40 

+0.364—5.36 
0.457     477 

Sept.  7 
17 
27 

6.40 
16.38 
26.35 

3.340 
3.259 
3.146 

4-  i 

2 
2 

64 
.8 
125 

14.93 
14.95 
14.83 

4 
4 
4 

+  10 
—    5 
17 

200 
300 
400 

0.929+0.64 
0.983—0.14 
1.028J     0.90 

0.547     4.14 
0.632     3.48 
0.712|    2.79 

Oct.    7 

6.32 

3.011 

2 

143 

14.62 

4 

27 

isro. 

1878. 

17 

16.30 

2.862 

2 

154 

14.30 

4 

36 

0 

—1.013 

—0.64 

+0.686 

—3.03 

1  300,          27 

26.27 

2.706 

2 

155 

13.91 

4 

42 

100 

1.053 

1.41 

0.762 

2.32 

i         Nov.  6 

5.24 

2.555 

2 

145 

13.47 

4 

46 

200 

1.082 

2.15 

0.83-2 

1.59 

16 

1521 

2.418 

2 

129 

13.00 

4 

49 

300 

1.103 

2.8b 

0.896 

0.85 

26 

25.19 

2.298 

2 

108 

12.49 

4 

53 

400 

1.114 

3.58 

0.952 

0.10 

Dec.   6 

5.16 

2.203 

2 

80 

11.94 

4 

54 

1871. 

187O. 

16 

26 
36 

15.13 
25.10 
35.08 

2.138 
2.103 
+2.102 

2 

1 
+  1 

50 
—  18 
+  16 

11.42 
10.90 
+10.38 

3 

3 

4-3 

52 
52 

—  50 

0 
100 
200 

—1.111 
1.116 
1.111 

-3.35 
4.03 
4.67 

+0.934 
0.986 
1.029 

—0.35 
+0.40 
1.16 

300 

1.097 

5.27 

1.063 

1.90 

400 

1.073 

5.83 

1.089 

2'.63 

1872  B. 

1880  B. 

5fc  6  ©,                 Jan.  28.5. 

5JC  6  Mean  Sun,    Jan.  31.9. 

0 

—1.082 

-5.65 

+1.0811+2.39 

100 

1.053 

6.17 

1.101 

3.11 

200 

1.014 

6.64 

1.112 

3.80 

300 

0.968 

7.05 

1.113 

4.47 

400 

—0.913 

—7.41  +1.105 

+5.10 

SPECIAL  TABLES. 


223 


TABLE  XXIV.—  v  Cygni. 

h 

m                                                    °      ' 

R.A.  20 

52.3.                       Dec.  +  40  40. 

Upper  transit  at  fictitious  meridian. 

A0a 

y 

Side- 
real 
Day. 

*«<• 

V 

AQ« 

V 

1870. 

Var.inDiff.foi 
10  y.  i    lUd. 

• 

187O. 

Var.iuDiff.for 
10  y.       10  d. 

1865. 

B                     " 

1873. 

H 

0 

+0.754 

+8.28 

—0.841 

—7.33 

100 

0.713 

8.27 

0.832 

7.62 

0,Jau.    0 

O.C9 

—  1.449 

+  1 

n 

+  6.83 

4-3 

-248 

200 
300 

0.666 
0.613 

8.19 
8.03 

0.815 
0.792 

7.85 
8.01 

10 

10.06 

1.504 

o 

34 

4.23 

3 

269 

400 

0.554 

7.8J 

0.762 

8.11 

20 

20.04 

1.516 

0 

+  10 

+  1.48 

3 

280 

30 

30.01 

1.483 

0 

57 

—  1.34 

3 

281 

1866. 

1874. 

Feb.   9 

8.98 

1.402 

—  1 

103 

4.10 

3 

271 

0 

+0.575 

+7.89 

—0.773 

—8.09 

19 
War.   1 
11 
21 

18.96 
0.93 
10.90 

20.87 

1.277 
1.106 
0.891 
0.641 

1 

2 
2 
3 

148 

193 
233 

270 

6.72 
9.06 
11.04 
12.57 

3 
3 

2 
2 

250 
218 
177 
129 

100 
200 
300 

400 

0.513 
0.447 
0.377 
0.303 

7.62 

7.28 
6.88 
6.4*' 

0.739 
0.699 
0.654 
0.603 

8.13 
8.11 
8.03 

7.88 

31 

30.85 

0.353 

3 

304 

13.60 

1 

76 

1867. 

1875. 

100,  Apr.  10 
20 

9.82 
1979 

—0.036 
+0.300 

3 
3 

328 
345 

14.07 
13.97 

1 
4  i 

—  19 
+  37 

0 
100 

+0.328J+6.58 
0.253     6.08 

—0.621 
0.567 

—7.94 
7.74 

30 

2976 

0.652 

2 

356 

13.32 

0 

92 

200 

0.176     5.53 

0.508 

7.49 

May  10 

9.74 

1.009 

2 

357 

12.13 

0 

145 

300 

0.097 

4.93 

0.445 

7.17 

20 

19.71 

1.364 

2 

350 

10.43 

—  1 

192 

400 

0.017 

4.2i> 

0.378 

6.79 

30 

29.68 

1.706 

1 

333 

8.30 

1 

233 

1868  B. 

1876  B. 

June  9 
19 

8.65 
18.63 

2.028 
2.320 

1 
—  1 

308 
275 

5.79 
—  2.97 

1 
1 

268 
294 

G 

+0.044+4.51 

—0.401 

—6.92 

29 

28.60 

2.576 

0 

234 

+  0.06 

1 

312 

100 

—0.036 

3.84 

0.3331     6.51 

July   9 

8.57 

2.787 

0 

188 

3.24 

1 

323 

200 
300 

0.115 
0.193 

3.14 
2.42 

0.26  J      6.05 
0.187     5.52 

200,          19 

18.55 

2.950 

0 

138 

6.49 

1 

325 

400 

0.269 

1.67 

0.112 

4.96 

^9 

28.52 

3.061 

+  J 

84 

9.72 

1 

320 

Aug.  8 

7.49 

3.117 

1 

+  30 

12.86 

1 

309 

1869. 

1877. 

18 
28 

17.46 
27.44 

3.121 
3.072 

2 
2 

—  2J 
75 

15.87 

18.66 

1 
—  1 

291 

267 

f; 

100 

—0.244 
0.318 

+1.92 
1  17 

—0.138 

—o.  (m 

-5.15 

4.56 

Sept.  7 
17 

27 

6.41 
16.38 

26.35 

2.973 

2.832 
2.653 

\ 

3 

121 
161 
193 

21.20 
23.41 
25.26 

0 
0 

4  1 

238 
204 
166 

200 
300 
40C 

0.390 
0.458 
0.52o 

+0.41 
—0.36 
1.12 

+0.014 
0.091 
0.167 

3.9:> 
£57 

Oct.    7 

6.33 

2.448 

3 

216 

26.72 

1 

126 

187O. 

1878. 

17 

16.30 

2.224 

3 

232 

27.77 

2 

82 

e 

—0.5011—0.86' 

+0.141 

—2.80  1 

300,          27 

26.27 

.987 

3 

238 

28.35 

3 

+  34 

100 

0  5631     1.62' 

0.217 

2.JO  i 

Nov.  6 

5.^5 

.750         3 

233 

28.45 

3 

—  14 

200 

0.619     2.35 

0.290 

1.37  i 

16 

15.22 

.523         3 

221 

28.07 

3 

62 

300 

0.669     3  07' 

0.362—0.63 

26 

25.19 

.311         3 

202 

27.21 

3 

109 

400 

0.71-Ij    3.75 

0.430+O.J2 

Dec.   6 

5.16 

.122  j      3 

175 

25.90 

4 

154 

1 

1871. 

1879. 

16 
96 

36 

15.14 
25.11 

35.08 

0.964         2 
0.842         2 
+0.758  +  1 

141 

104 
—  62 

24.15 
22.03 
+19.58 

4 

5 

45 

195 
230 
—257 

0 
100 
200 

—0.699 
0.740 
0.774 

-3.52, 
4.19, 

4.82 

+0.407—0.13 
0.474+0.62 
0  536      1  36 

! 

300 

0.802 

5.40 

0.595 

2.10 

•#  6  ©,                 Jan.  30  1. 
%  6  Mean  Sun,    Feb.    2.6. 

400 

0.8^3 

5!  94 

0.648 

2.82 

1872B. 

1880  B. 

0 

—0.816—5.76 

+0.631 

+2.58 

100 

o.8:ra 

6.27 

0.681 

3.  29 

200 

0.842 

6.71 

0.725 

3.97 

300 

0.844 

7.11 

0.764 

4.6-2  i 

400 

—0.839—7.44- 

+0.79o 

+5.23 

224 


SPECIAL  TABLES. 


TABLE  XXIV.—*  81  Cephei  (B):  12  Year  Cat.  1879. 

h    m                                                        °       ' 

R.A.  20  53.4.                       Dec.  +  80    4. 

Upper  transit  at  fictitious  meridian. 

A    a 

A    6 

Side- 
real 

AQa 

*d 

AQa 

A& 

(J 

w 

Day. 

0 

Sidereal  Day. 

Mean  Day. 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                    " 

1873. 

8                      " 

0 

+1.448 

+8.27 

—0.432 

—7.34 

100 

1.639 

8.25 

0.659 

7.63 

H 

// 

200 

1.817 

8.17 

0.880 

7.85 

0,Jaii.    0 

0.09 

—6.411 

—32 

—799 

+11.52 

—  3 

-257 

300 

1.979 

8  01 

1.094 

W.01 

10 

10.07 

7.109 

;-;4 

595 

8.76 

3 

294 

400 

2.124 

7.7b 

1.298 

8.10 

20 

20.04 

7.593 

34 

370 

5.69 

3 

319 

30 

30.01 

7.844 

33 

—132 

+  2.4-2 

3 

332 

1866. 

1871. 

Feb.    9 

8.98 

7.855 

32 

+  112 

—  0.91 

3 

332 

0 

+2.077 

+7.86 

—  1  230 

—8.08 

19 
Mar.   1 
11 
21 

18.96 
0.93 
10.90 

20.88 

7.622 
7.157 
6.477 
5.606 

29 
25 
21 
16 

351 
577 

780 
955 

4.18 
7.25 
10.02 
12.36 

3 
3 
3 
3 

319 

294 
257 
210 

100 
200 
300 
400 

2.210 
2.323 
2.417 
2.490 

7.59 
7.25 
6.85 
6.  So 

1.4*7 
1.61* 
1.783 

1.939 

8.12 
8.10 

8.0-2 

7.86 

31 

30.85 

4.578 

11 

1094 

14.19 

2 

156 

1867. 

1875. 

100,  Apr.  10 

9.82 

3.431 

6 

1194 

15.46 

2 

95 

0 

+2.468+6.54 

—  1.89C 

—7.92 

20 

19.79 

2.204 

—  1 

1252 

16.11 

1 

—  34 

100 

2.52b 

6.04 

2.034 

7.73 

30 

29.77 

—0.941 

+  4 

1-267 

16.14 

—  1 

+  29 

200 

2!  56* 

5.49 

2.163 

7.47 

May  10 

2.74 

+0.316 

8 

1240 

15.54 

0 

90 

300 

2.576 

4.89 

2.273 

7.15 

20 

19.71 

1.526 

12 

1174 

14.34 

0 

148 

400 

2.567 

4.25 

2.365 

6.77 

30 

29.68 

2.653 

15 

1073 

12.60 

+  1 

201 

1868  B. 

1876  B. 

June  9 
19 

8.66 
18.63 

3.662 
4.524 

17 

18 

940 

781 

10.35 

7.68 

1 
1 

247 

286 

0 

+2.573+4.47 

2.330 

—6.91 

29 

28.60 

5/217 

18 

602 

4.66 

2 

318 

100 

2.550 

3.80 

2.416 

6.49 

July  9 

8.57 

5.723 

17 

407 

—  1.36 

2 

341 

200 
300 

2.504 
2.437 

3.10 
2.37 

2.475 
2.5J4 

6.02 
5.50 

200,          19 

18.55 

6.029 

16 

+204 

+  2.14 

2 

356 

400 

2.348 

1.63 

2.533 

4.94 

29 

28.52 

6.129 

13 

4 

5.74 

2 

363 

Aug.  8 

7.49 

6.021 

10 

211 

9.37 

2 

362 

1869. 

1877. 

18 
28 

17.46 
27.44 

5.709 
5.201 

6 

+  1 

412 
603 

12.95 
16.40 

1 
1 

353 
337 

0 
100 

+2.380 
2.279 

+1.88 
1.13 

—2.529 
2.534 

-5.13 
4.54 

Sept.  7 

6.41 

4.508 

—  4 

779 

19.66 

+  1 

314 

200 
300 

2.157 
2.018 

+0.37 
—0.39 

2.518 
'2.481 

3.91 
3.24 

17 

16.38 

3.649 

10 

937 

2*.65 

0 

284 

400 

1.861 

1  .  Yi 

2.4:23 

'2.55 

27 

26.36 

2.642 

16 

1074 

25.32 

0 

247 

Oct.    7 

6.33 

1.510 

22 

1186 

27.57 

—  1 

205 

1870. 

1878. 

17 

16.30 

+0.280 

28 

1270 

29.40 

1 

158 

0 

+  1.916 

—0.90 

—2.445 

—2.79 

'  300,          27 

2-1.27 

—1.019 

34 

1323 

30.72 

2 

105 

100 

1.748 

1.65 

2.374 

2.08 

Nov.  6 

5.25 

2.355 

40 

1344 

31.49 

3 

+  49 

200 

1.566 

2.36 

2.284 

1.35 

16 

15.22 

3.695 

45 

1330 

31.70 

4 

—    8 

300 

1.371 

3.09 

2.174 

—0.61 

26 

25.19 

5.003 

50 

1280 

31.32 

4 

68 

400 

1.165 

3.78 

2.046 

+0.13 

Dec.   6 

5.16 

6.243 

55 

1193 

30.35 

4 

126 

i 

1871. 

1879. 

16 

26 
36 

15.14 
25.11 

35.08 

7.376 
8.370 
-9.191 

59 
62 
—64 

1070 
912 
—725 

28.82 
26.76 
+24.24 

5 
5 
—  5 

180 
230 
—272 

0 
100 
!  200 

+1.235 
1.023 
0.80* 

—3.55 
4.21 

4.84 

—2.091—0.11 
1.95-2+0.63 
1.795      1.37 

300 

0.575 

5.42 

1.624     2.11 

400 

0.343 

5.95 

1.438|    2.83 

1872B. 

1880  B. 

*  6  0,                 Jan.  30.4. 

>jc-d  Mean  Sun,     Feb.    2.9. 
#  8  Mean  Sun,     Aug.   4.5. 

0 
100 

+0.422 
+0.189 

—5.78 
6.28 

—1.502 
1.308 

+2.59 
3.29 

1         w                                               7                      O 

200 

—0.046 

6.72 

1.102 

3.97 

300 

0.279 

7.11 

0.886 

4.62 

400 

—0.509 

—7.44 

—0.66* 

+5.23 

SPECIAL  TABLES. 


225 


TABLE  XXIV.-G1  Cygni  (pr.) 

h    m                                                    o      / 

R.A.  21     1.1.                        Dec.  +  38    7. 

Upper  transit  at  fictitious  meridian. 

A0a 

^ 

Side- 
real 
Day. 

AqO 

<* 

*0- 

*rf 

Sid6rt?al  Day. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 

10  d. 

1865. 

8                    " 

1873. 

8                        " 

0 

+0.759 

+8.20 

—0.863 

—7.38 

100 

0.715 

8.16 

0.85U 

7.  64 

8 

// 

200 

0.664 

8.05 

0.830 

7.84 

0,Jan.    0 

0.10 

-  .357 

+   1 

—  69 

+  6.77 

+  3 

-226 

300 

0.608 

7.87 

0.8vM 

7.97 

10 

10.07 

.406 

0 

—  28 

1.40 

3 

247 

400 

0.546 

7.62 

0^771 

8.04 

20 

20.04 

.411 

0 

+  15 

+  1.85 

3 

260 

30 

30.02 

.375 

—  1 

58 

—  0.77 

3 

262 

1866. 

1874. 

Feb.    9 

8.99 

.294 

1 

103 

3.35 

3 

252 

0 

+0.567 

+7.71 

—0.782—8.02 

19 
Mar.    1 
11 
21 

18.96 
0.93 
10.91 

20.88 

.169 
.001 
0.791 
0.543 

2 
3 
3 
3 

147 

189 
229 
266 

5.78 
7.95 
9.78 
11.18 

3 
3 
2 
2 

231 
201 
163 
117 

100 
200 
300 
400 

0.502 
0.432 
0.359 
0.282 

7.42 
7.06 
6.64 
6.16 

0.745 
0.702 
0.653 
0.598 

8.04 
8.00 
7.89 
7.72 

31 

30.85 

—0.261 

3 

298 

12.09 

2 

65 

1867. 

1875. 

100,  Apr.  10 
20 

9.82 
19.80 

+0.052 
0.385 

3 
3 

323 

343 

12.47 
12.29 

+  1 
0 

—  10 
+  45 

0 
100 

+0.308 
0.230 

+633 
5.81 

—0.617'—  7.78 
0.560     7.57 

30 

29.77 

0.737 

3 

356 

11.57 

0 

98 

200 

0.150 

5.25 

0.497     7.29 

May  10 
20 

9.74 
19.72 

1.096 
1.454 

3 

2 

360 
354 

10.34 
8.61 

0 
0 

149 
197 

300 
400 

+0.068 
—0.014 

4.64 
3.99 

0.431      6.95 
0.361:     6.55 

30 

29.69 

1.802 

2 

340 

6.43 

—  1 

237 

1868  B. 

1876  B. 

June  9 

8.66 

2.132 

2 

318 

3.90 

1 

269 

19 

29 

18.63 
28.61 

2.435 
2.705 

1 
—  1 

287 
250 

-  1.07 
+  1.98 

2 
2 

295 
313 

0+0.014 
100—0.068 

+4.21 
3.54 

—0.385 
0.314 

—6.69 
6.26 

July   9 

8.58 

2.935 

0 

206 

5.17 

1 

323 

200 

0.149 

2.8*3 

0.239 

5.78 

I 

300 

0.229 

2.11 

0.163 

5.24 

200,          19 

1855 

3.117 

0 

157 

8.42 

1 

327 

400 

0.307 

1.36 

0.085 

4.68 

29 

28.52 

3.250 

+  1 

106 

11.69 

—  1 

323 

Aug.  8 

7.50 

3.329 

2 

53 

14.86 

0 

3J1 

1869. 

1877. 

18 
28 

17.47 
27.44 

3.357 
3.333 

2 
3 

-  49 

17.90 
20.73 

0 
0 

294 
272 

0 
100 

—0.2811+1.61 
0.356|    0.86 

—0.112 
—0.033 

—4.86 
4.26 

Sept.  7 
17 
27 

6.42 
16.39 
26.36 

3.262 
3.148 

2998 

3 
3 
3 

94 
133 
166 

23.32 
2558 
27.51 

+  1 

1 

243 
210 
174 

200 
300 
400 

0.429 
0.49* 
0.562 

+0.10 
-0.65 
1.40 

+0.046 
0.124 
0.202 

3.62 
2.95 
2.26 

Oct.    7 

6.33 

2.820 

4 

191 

29.06 

2 

135 

187O. 

1878. 

17 

16.31 

2.620 

4 

206 

30.20 

2 

92 

0 

-0.541 

—  1.1C 

+0.176—2.50 

1  300,          27 

26.28 

2.410 

4 

213 

30.89 

3 

47 

100 

0.602 

1.89 

0.252 

1.79 

Nov.   6 

5.25 

2.198 

4 

211 

31.14 

3 

+     1 

200 

0.657 

2.61 

0.327 

1.06 

16 

15.22 

1.992 

4 

200 

30.92 

4 

-45 

300 

0.707 

3.30 

0.400 

—0.33 

26 

25.20 

1.801 

3 

182 

30.24 

4 

92 

400 

0.751 

3.98 

0.469 

+0.41 

Dec.    6 

5.17 

1.631 

0 

157 

29.09 

5 

135 

1871. 

1879. 

16 
26 

36 

15.14 
25.11 
35.09 

1.488 
1.379 
+1.307 

3 
2 

+  2 

127 
91 

—  52 

27.55 
25.62 
+23.40 

' 

5 
5 

+  6 

174 

209 
—  235 

0 
100 
200 

—0.737 
0.776 
0.808 

—3.75 
4.39 
5.00 

+0  446 
0.513 
0.57f> 

+0.16 
0.90 
1.64 

300 

0.834 

5.56 

0.633 

2.36 

400 

0^853 

0^686 

3!  06 

1872  B. 

1880  B. 

*  6  0,                 Feb.  1.2. 

;jc  6  Mean  Sun,     Feb.  4.8. 

0 

—0.847 

—5.90 

+0.669 

+2.83 

100 

0.861 

6.36 

0.718 

3.52 

200 

0.868 

6.80 

0.761 

4.18 

300 

0.867 

7.17 

0.798 

4.81 

400—0.859 

—7.47 

+0.829  +5.40 

15 


226 


SPECIAL  TABLES. 


TABLE  XXIV.—  CCygni. 

h    m                                                       o       / 

E.A.  21    7.4.                       Dec.  +  29  42. 

Upper  transit  at  fictitious  meridian. 

i 

A0a 

A0<> 

Side- 
real 

A^a 

A^(5 

Aaa 

A    ,j 

Sul^vcol  Duy 

\fonn  TViv 

<V 

Day. 

1870. 

Var.inDiff  for 
10  y.       10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                      " 

18 

8 

73. 

0 

+0.7341+8  13 

—0.885 

—7.40 

100 

0.679 

8.07 

0.86V 

7.64 

// 

200 

0.618 

7.94 

0.83-2 

7.82 

0,  Jan.  0 

0.10 

—  .203 

+  2 

—  59 

+  5.42 

+  2 

—209 

300 

0.552 

7.74 

0.795 

7.94 

10 

10.07 

.244 

+  1 

—  24 

323 

2 

227 

400 

0.481 

7.48 

0.751 

7.98 

20 

20.  Oo 

.250 

0 

+  13 

+  0.91 

2 

236 

30 

30.02 

.218 

0 

51 

—  1.46 

2 

236 

1866. 

1874. 

Feb.   9 

8.99 

.148 

—  1 

90 

3.78 

2 

226 

0+0.505 

+7.57 

—0.767 

—7.97 

19 
Mar.   1 
11 
21 

18.97 
0.94 
10.91 

20.88 

1.039 
0.892 
0.709 
0.490 

1 

2 

2 
ft 

128 
165 
201 
235 

595 

7.87 
9.46 
10.66 

2 
2 
2 
I 

206 
177 
141 

98 

100 
200 
300 

400 

0.431 
0.3o3 
0.272 
0.189 

7.26 
6.89 
6.46 
5.96 

0.719     7.98 
0.666     7  91 
0607     7.78 
0.543     7.59 

31 

30.86 

-0.239 

3       265 

11.40 

1 

51 

1867. 

1875. 

| 

100,  Apr.  10 

983 

+0.038 

O 

290 

11.66 

+  1 

-     1 

0 

+0.218 

+6.14 

—0.566—7.66 

20 

19.80 

0.339 

3 

310 

11.41 

0 

+  50 

100 

0.133 

5.61 

0.499 

743 

30 

29.77 

0.656 

2 

323 

10.67 

0 

98 

200 

+0.047 

5.04 

0.428 

7.13 

May  10 

9.75 

0.982 

2 

3-28 

9.46 

0 

143 

300 

—0.039     4.42 

0354 

6.78 

20 

19.72 

1.310 

2 

326 

7.81 

0 

185 

400 

0.124 

3.76 

0.27?  j     6.37 

30 

29.69 

1.632 

2 

316 

5.77 

—  1 

221 

1868  B. 

1876  B. 

June  9 
19 

29 

8.67 
18.64 
28.61 

1.940 
2225 

2.480 

2 
1 
1 

298 
271 
238 

3.41 

—  0.81 
+  1.96 

1 
1 
1 

249 

270 

284 

0 
100 

—0.0951+3.99 
0.180!    3.31 

—0.303 

—6.52 
6.07 

July    9 

8.58 

2.699 

—  1 

199 

4.84 

1 

291 

200     0.263 
300     0.344 

2.60 

1.88 

0.145     558 
—  0.063|    5.04 

200.          19       18.56 

2877 

0       155 

7.75 

1 

291 

400     0.421 

1.14 

+0019 

4.46 

29 

28.53 

3.009 

0 

108 

10.64 

1 

284 

Aug.  8 

7.50 

3.093 

0 

60 

13.42 

1 

272 

19VV. 

1877. 

18 

17.47 

27.45 

3.129 
3.117 

+  1 
2 

+  12 
—  35 

16.07 
18.50 

—  1 

0 

254 
231 

0—0.396 
100     0.471 

+1.39  —0.0091—4.65 
+0.64^+0,0741     4.04 

Sept.  7 

6.42 

3.059 

2 

78 

20.68 

0 

204 

200'    0.542 
3001    0.608 

—  0.  1  1 

0.86 

0.156     3.40 
0.236[    2.73 

17 
27 

16.39 
26.36 

2.962 
2.831 

3 
3 

115 

146 

22.57 
24.15 

+  1 

174 
141 

400J    0.668 

1.60 

0.315J     2.04 

Oct.    7 

>      634 

2.672 

3 

169 

25.38 

1 

104 

1870. 

1878. 

17 

16.31 

2.495 

3 

183 

26.23 

2 

66 

0—0.6481—1.35 

+0.2891—2.27 

300,          27 

26.28 

2.308 

3 

189 

26.70 

3 

+  26 

100!     0.7.05     208 

0.366i     l.f>6 

Nov.  6         5.26 

2.119 

3 

188 

26.75 

3 

—  14 

200'    0.755     279 

0.440 

084 

16       15.23 

.935 

3 

179 

3 

54 

300*    0.799 

3.48 

0.511 

—0.11 

26       25.20 

.764 

3 

161 

25^68 

4 

94 

400 

0.836 

4.13 

0.578  +0.62 

Dec.  6 

5.17 

.614 

3 

138 

24.55 

4 

133 

187 

1. 

1879. 

16 
26 
36 

15.15 
25.12 

35.09 

.489 
.391 
+1.328 

3 
2 
+  2 

112 

81 
—  46 

23.04 
21.25 
+19.18 

5 
5 
+  5 

166 
194 
—217 

0 
100 
200 

—0.824 
0856 
0.881 

—3.9: 
4.54 
5  13 

+0.556+0.38 
0.620!     1.1  1 
0.679^     1.83 

300 

0.89^ 

5  67 

0.73-2 

2.55 

400 

0.90s 

6.16 

0.780 

3.24 

1872  B. 

188OB. 

*  6  ©,                 Feb.  2.8. 

5Jc  c5  Mean  Sun,     Feb.  6.4. 

0 
100 

—0.9051—6.00  +0.765 
0.910     6.4<>!     0.808 

+3.01 
3.68 

200     0907 

6.86 

0.844 

4.33 

300     0.895 

7.2) 

0.874 

4.94 

400J—  0.878 

—7.49!  +0.8961+5.51 

SPECIAL  TABLES. 


227 


TABLE  XXIV.-l  Pegasi. 

h    m                                                     °      ' 

R.A.  21  16.1.                      Dec.  +  19  15. 

Upper  transit  at  fictitious  meridian. 

A0a 

AGd 

Side- 
real 

AoQa 

A^6 

A£2a 

Aad 

Qirl*-r»nl  T^ov      Tifpnn  T)flV 

Day. 

i  alutreui  Uciy.    .»>icau  uuj  . 

1870. 

Var.in 

10  y. 

Diff.  for 
10  d. 

1870. 

Var.in:  Diff  for 
10  y.      10  d. 

1865. 

8                     " 

1873. 

B                     " 

0 

+0.702 

+8.02 

—0.903 

—7.43 

100 

0.637 

7.94 

0.869 

7.64 

1 

// 

200 

0.566 

7.76 

0.828 

7.79 

0,  Jan.   0         0.11 

-1.073 

+   1 

—  46 

+  3.43 

+  2 

-170 

300 

0.490 

7.56 

0.781 

7.67 

10 

10.08 

1  104 

1 

—  15 

+  1.67 

2 

181 

400 

0.410 

7.27 

0.727 

7.69 

20 

20.i5 

1.102 

+   1 

+  19 

—  0.18 

2 

187 

30 

30.03 

1  066 

0 

52 

2.05 

2 

185 

1866. 

1874. 

Feb.  9 

9.00 

0.998 

—  1 

86 

3.85 

2 

173 

0 

+0.437!+7.37 

-0.746—7.89 

19 
Mar.  1 
11 
21 

18.97 
0.94 
10.92 
20.69 

0.695 
0.757 
0.587 
0.386 

1 

1 

2 

2 

121 
154 
186 
217 

5.49 
6.91 

8.03 
8.79 

2 
1 

1 

154 

128 
95 

56 

100 
200 
300 
40G 

0.354 
0.268 
0.179 

0.069 

7.04 
6.6; 
6.21 
5.69 

0.6c* 
0.624 
0.5T5 
0.482 

7.67 
7.78 
7.63 
7.41 

31 

30.86 

-0.154 

2 

246 

9.15 

1   —  15 

1867. 

1875. 

1  100,  Apr  10 
20 

9.84 
19.81 

+0.105 
0.386 

3 
3 

271 

291 

9.C9 
8.61 

+  »l 

+  27 
70 

0 
100 

+0.120 
+O.C29 

+5.67 
5.33 

—0.507 
0.432 

—7.49 
7.23 

30 

29.78 

0.684 

3 

305 

7.68 

0 

112 

200 

—0.062 

4.74 

0.35: 

6.92 

May  10 

9.75 

0.993 

3 

313 

6.38 

0 

149 

300 

0.152 

4.1) 

0.271 

6.55  < 

20 

19.73 

1.307 

2 

314 

4.72 

0 

182 

400 

0.241 

3.41 

0.186 

6.12  ! 

30 

29.70 

1.618 

2 

307 

2.76 

0 

£09 

1868  15. 

1876  B. 

June  9 
19 
29 

8.67 
18.64 

28.62 

1.9J8 
2.199 
2.456 

2 
2 
1 

292 
270 
242 

—  0.56 
+  1.85 
4.34 

0 
0 

—  1 

232 
246 
253 

0 

100 

—0.211 

0.299 

+3.68 
3.0( 

—0.21  5-6.  -J7 
0.130     5.81 

July  9 

8.59 

2.679 

—  1 

206 

6.90 

1 

256 

20(. 

0.363 

2.2'J 

—0.043 

5.30 

300 

0.464 

l.£6 

+0.044 

4.75 

!200,          19 

18.56 

2.865 

0 

165 

9.44 

1 

251 

400 

0.541 

0.8c 

0.130 

4.16 

29       28.53 

3.008 

0 

121 

11.91 

1 

242 

Aug.  8 

7.51 

3.107 

0 

76 

14.26 

0 

227 

1869. 

1877. 

18 
28 

17.48 

27.45 

3.161 
3.170 

0 

4-  i 

+  31 
—  13 

16.44 
18.42 

0 
0 

209 
186 

0 

100 

—0.516+1.07 
0.590  +0.3*3 

+0.10IJ—  4.36 
0.187     3.74 

*pt.7 

27 

6.43 
16.40 
26.37 

3.135 
3.063 
2.957 

i 

2 
2 

54 
90 
120 

20.15 
21.63 
22.82 

+  ! 

2 

161 
134 
105 

200 
3(K 
400 

0.658 
0.721 
0.777 

—0.41 
3.15 

1.86 

0.271 
0.354 
0.433 

3.C9 
2.42 
1.73 

Oct.   7 

6.34 

2.825 

3 

142 

23.72 

2 

74 

1S7O. 

1878. 

17 

16.32 

2.676 

3 

156 

24.30 

3 

42 

0 

—0.759—1.63 

+0.407 

—1.96 

300,          27       26.29 

2.516 

3 

163 

24.56 

3+10 

100 

0.811 

2.35 

0.484 

1.26 

Nov.  6  !      5.26 

2.352 

3 

162 

24.50 

3   -  22      200 

0.855 

3.04 

0.556 

—0.54 

Ifi       ]5.23 

2.194 

3 

153 

24.13 

o 

53  j   300 

0.892 

3.70 

0.627+0.19  ; 

26       25.21 

2.048 

3 

138 

23.44 

4 

84 

40C 

0.922 

4.34 

0.691J     0.91 

Dec.  6        5.18 

1.920 

o 

118 

22.45 

4       113 

1871.                     1870. 

16 
26 
36 

15.15 

25.13 
35.10 

1.814 

1.736 
+1.666 

2 
2 
+  1 

93 
64 
—  34 

21.19 
19.70 
+18.03 

4 

+  4 

128 
159 
—175 

0 
100 
200 

—0.913—4.]:' 
0.937     4.73 
0.953     5.  30 

'+0.670+0.67 
|    0.731      1.39  ! 
0.785J    2.10" 

1 

300 

0  961     5  81 

0.833     2.60 

400 

0.9611    &26 

0.875j     3.47 

1872  B. 

1880  B. 

*  <3  ©,                  Feb.  5.0. 

;jc  6  Mean  Sun,    Feb.  8.6. 

0 

—0.962—6.13 

'+0.862+3.25 

100 

0.9561    656 

i     0.896 

3.90 

200 

0.943 

6.94 

i     0.927 

4.53  ; 

300 

0.928 

7.25 

I    0.94f 

5.12 

400—0.893 

—7.51  '-f-0.9t>*< 

+5.0? 

228 


SPECIAL  TABLES. 


TABLE  XXIV.-/3  Aquarii. 

h    m                                                    or 

R.A.  21  24.7.                        Dec.—    6    9. 

Upper  transit  at  fictitious  meridian. 

Aoa 

A0d 

Side- 
real 

AQa 

*Q* 

1 

s.d       ,  D 

MeanD— 

Day. 

1870. 

Var.in 

Diff.  for 

10  a. 

187O. 

Var.iu 
10  y. 

Diff.  for 
10  d. 

1865. 

B                     " 

1873. 

8                     " 

0 

+0.611 

+7.92  —0.917 

—7.44 

100 

0.523 

7.79:1    0.860 

7.63 

s 

// 

200 

0.432 

7.61  I    0.7961    7.75 

O.Jan.    0 

0.11 

-0.992 

+  2 

—  29 

—  2.40 

0 

—  62 

300 

0.336 

7.37 

0.726     7.80 

10 

10.09 

1.006 

2 

0 

3.00 

0 

57 

400 

0.237 

7.04 

0.6501    7.79 

20 

20.06 

0.993 

2 

+  30 

3.53 

0 

49 

30 

30.03 

0.946 

+  1 

60 

3.97 

0 

39 

1866. 

1874. 

Feb.    9 

9.00 

0.871 

0 

90 

4.30 

0 

25 

0 

+0.271 

+7.17 

—0.6761—7.80 

.19 
Mar.    1 
11 
21 

18.98 
0.95 
10.92 
20.90 

0.765 
0.6-29 
0.463 
0.268 

0 

1 
2 

121 
151 
181 

209 

4.46 
4.44 
4.19 
3.70 

0 
0 
0 

—  1 

—    8 
+  13 
37 
61 

100     0.170 
200  +0.068 
3001—0.034 
400|    0.136 

6.81 
6.40 
5  93 
5.41 

0.596     7.75 
0.512     7.64 
0.423     7.46 
0.331      7.22 

31 

30.87 

—  0/W45 

2 

236 

2.98 

1 

84 

1867. 

1875. 

100,  Apr.  10 
20 

9.84 
19.81 

+0.204 
0.475 

2 
3 

261 

281 

2.03 

—  0.84 

1 

-J 

107 
129 

0 
100 

—0.102 
0.204 

+5.59 
5  04 

—0.363 
0.269 

—7.31 

7.03 

30 

29.79 

0.764 

3 

297 

+  0.54 

0 

148 

200 

0.303 

4.44 

0  173 

6.69 

May  10 

9.76 

1.067 

3 

307 

2.10 

0 

162 

300 

0.400 

381 

—0.076 

6.30 

20 

19.73 

1.376 

3 

312 

3.76 

0 

171 

400 

0.494 

3.14  +0.02^ 

5.83 

30 

29.70 

1.688 

3 

309 

5.50 

0 

176 

1868  B. 

1876  B. 

June  9 

8.68 

1.991 

3 

297 

7.26 

o 

176 

I 

19 

18.65 

2.280 

3 

279 

9.00 

0 

170 

Oj—  0.463 

+3.37 

—0.011 

—6.02 

29 

28.62 

2  547 

2 

255 

10.65 

+  1 

161 

100 

0.553 

2.68 

+0.087 

5.54 

July  9 

8.60 

2.787 

2 

223 

12.20 

1 

147 

200 

0.638 

1.97 

0.184 

5.02 

300 

0.718 

1.25 

0.279 

4.46 

!200,          19 

18  57 

2.991 

2 

185 

13.58 

1 

130 

400 

0.792 

0.52 

0.372 

3.86 

29 

28.54 

3.156 

1 

143 

14.79 

2 

111 

Aug.  8 

7.51 

3.276 

—  1 

99 

15.80 

2 

91 

1869. 

1877. 

18 
28 

17.49 

3.354 
3.385 

0 
0 

54 
+  10 

16.61 
17.20 

2 

2 

70 
49 

•      0 
100 

—0.768 
0.837 

+0.76 
+0.03 

+0.3411—404 
0.433     3.42 

Sept.  7 
17 

27 

6.43 
16.40 

26.38 

3.375 
3.325 
3.242 

+  1. 

2 

—  31 

67 

98 

17.59 
17.79 

17.82 

3 
3 
3 

29 
—     6 

200 
300 
400 

0.898 
0.951 
0.997 

—0.7 
1.44 
2.15 

0.521     2.77 
0.604     2.10 
0.683     1.40 

Oct.    7 

6.35 

3.131 

2 

121 

17.68 

3 

20 

187O. 

1878. 

17 

16.32 

3.002 

2 

136 

17.42 

3 

32 

0  —0.962 

-1.91 

+0.657 

—1.64 

300,          27 

26.29 

2.861 

2 

143 

17.05 

4 

41 

100 

1.022 

2.61 

0.733 

0.94 

Nov.  6 

5.27 

2.718 

2 

142 

16.60 

4 

49 

200 

1.052 

3.28 

0.802 

—  0.22 

16 

15.24 

2.579 

2 

133 

16.08 

4 

55 

300 

1.073 

3.93 

0.866 

+0.49 

26 

25.21 

2.454 

2 

118 

15.50 

4 

60 

400 

1.085 

4.54 

0.922 

1.21 

Dec.   6 

5.19 

2.344 

2 

98 

14.89 

4 

62 

1871. 

1879. 

16 
26 
36 

15.16 
25.13 
35.10 

2.258 
2.197 
+2.163 

2 

-hi 

74 
48 
—  19 

14.26 
13.63 
+13.00 

4 
4 
+  4 

63 
63 
—  61 

0 
100 

200 

—1.082 

1.088 
1.085 

—4.33 
4.92 
5.46 

+0.903 
0.955 
09<)8 

+0.97 
1.67 
2.37 

300 

1.072 

5.95 

1.033 

3.05 

400 

1.051 

—6.39: 

1.060 

3.70 

1872  B. 

188O  B. 

*  6  0,                 Feb.    7.1. 

#  d  Mean  Sun,     Feb.  10  8. 

0—1.059 
100     1.031 

—6.25 
6.65 

+  1.0521+3.49 
1.072     4.12 

. 

200     0.995     7.00 

1.084     4.72 

300!     0.951      7.29! 

1.086)    5.29 

~ 

40o!—  0.899—  7.51  : 

+1.060+5.81 

SPECIAL  TABLES. 


220 


TABLE  XIIT.-f  Aqaarii. 

h    m                                                     °      ' 

R,A.  21  30.8.                       Dec.  —    8  26. 

Upper  transit  at  fictitious  meridian. 

A0« 

A    6 

Side- 
real 

AxQ« 

AQ(J 

Ar,« 

°                        Day. 

Sidereal  Day. 

Mean  Day. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10y. 

1865.                   1873. 

H                                           8                      " 

0 

+0.600'+7  8-2  -0.916i-7.45 

100 

0511 

z.ea    o.8n7 

7.61 

8 

// 

200 

0.417 

7.49 

0.791 

7.71  ! 

0,Jan.    0 

0.12 

-0.973 

+  2 

—  33 

—  3.00 

+ 

—  51      300 

0.320 

7.22 

0.719!     7.75 

10 

10.  G9 

0.992 

2 

—    5 

3.48 

_j_ 

44 

400 

0.219 

6.901!    0.640 

7.71 

20 

20.06 

0982 

1 

+  25 

3.87 

35 

30 

30.04 

0.941 

+  1 

55 

4  17 



24 

1866. 

1874. 

Feb.    9 

9.01 

0.871 

0 

86 

4.34 

-    9 

0 

+0.253!+7.01 

—0,667 

—7.74 

19 
Mar.   1 
11 
21 

18.98 
O.i)5 
1093 
20.90 

0.770 
0.638 
0.476 
0.284 

0 

—  1 
1 

2 

117 
147 
177 

206 

4.35 
4.18 
378 
3.18 

+     8 
28 
50 
73 

100 
200 
300 
400 

0.151 
+0.048 
—0.055 
0.158 

6.64 
6.2-2 
5.74 
5.21 

!    0.58HJ    7.67 
0.499'     7.53 
.     0.4G9!     7.3-1 
;     0.315;     7.U8 

31 

30.87 

—0.065 

2 

233 

2.32 

95 

1867. 

1875. 

1  ICO,  Apr.  10 
20 

9.85 
19.82 

+0.181 
0.451 

3 
3 

259 
280 

1.27 

—  0.00 

116 
135 

0 
100 

—0.124  1+5.  39  —0.347 
0.2-26     4.83JJ    0.25-c 

-7.17 

6.88 

30 

29.79 

0.740 

3 

297 

+  1.43 

151 

200 

0.326!    4.221!    0.155 

(>.53 

May  10 

9.76 

1.043 

3 

309 

3.01 

— 

163 

300 

(1.424 

—0  057 

6.13 

20 

19.74 

1.355 

3 

314 

4.68 

0 

171 

400 

0.517 

2.91  +0.042 

5.67 

30 

29.71 

1.668 

3 

312 

6.41 

0 

174 

1868  B.      !':       1876  B« 

June  9 

8.68 

1976 

3 

302 

8.14 

o 

172 

19 

29 

18.65 
28.63 

2.270 
2.543 

3 
2 

285 

260 

9.84 
11.42 

0 
0 

165 
153 

0—0.486 
100!    0.577 

+3.14 

•2.4f, 

'+0.009 
0.1  Oc 

—5.83  ! 
5.34  i 

July  9 

8.60 

2.788 

2 

228 

12.88 

+  1 

138 

200     0.662 
300     0.741 

1  75 
1.03 

0.206;    4.81 
0.30-2     4.24 

200,          19 

18.57 

2.993 

2 

192 

14.17 

1 

120 

400 

0.814 

0.30 

0.395 

3.64  ; 

29 

28.54 

3.17J 

1 

151 

15.27 

1 

100 

Aug.  8 

7.52 

3.300 

1 

105 

16.16 

I 

78 

1869. 

1877. 

18 
28 

17.49 
27.46 

3.382 
3.421 

—  1 
0 

60 
+  17 

16.83 
17.29 

2 
3 

56 
36 

0—0.791+0.54  +0.364-3.84  ' 
100     0.859—0.19      0.456     3.21 

Sept.  7 
17 
27 

6.44 
16.41 
26.38 

3.417 
3.373 
3.295 

0 

+  1 

—  25 
62 
93 

17.56 
1764 
17.55 

3 
3 
3 

+  17 
16 

200 
300 
400 

0.919 
0.972 
1.015 

0.9-2 
1.64 
2.34 

0.544 
O.H27 
0.706 

2.56  ! 

1.88; 

1.19  I 

Oct.    7 

6.35 

3.189 

1 

118 

17.32 

3 

29 

1870. 

18 

17 

16.33 

3.062 

1 

134 

16.98 

4 

39 

0 

—1.001 

—2.10 

:+0.680 

—1.43 

'•300,          27 

26.30 

2.924 

2 

142 

16.55 

4 

46 

100 

1.040 

2.79  j  '  0.755;     0.73 

Nov.  6 

5/27 

2.781 

2 

142 

16.06 

4 

52 

200 

1.068 

3.45  !    0.824—0.02  , 

16 

15.24 

2.643 

2 

134 

15.52 

4 

56 

300 

1.088 

4.08      0.887 

+0.69  | 

26 

25.22 

2.515 

2 

120 

14.95 

4 

57 

400 

1.098 

4.0-  !    0.942!     1.40  | 

Dec.  6 

5.19 

2.405 

2 

100 

14.38 

4 

57 

. 

1871. 

1879. 

16 
26 
36 

15.16 
25.14 
35.11 

2.316 
2.251 
+2.214 

2 
2 
+  2 

77 
51 
—  22 

13.81 
13.26 
+12.74  • 

4 
4 

+  4 

56 
54 
—  49 

c 

100 
200 

-1.096 
1.100 
1.095 

—  4.481  +0.924'+  1.1  6 
5.114      0.974.     J.Sfi 
5.57       1.017      2.55 

300 

1.080 

6.04 

1  0^0 

Q  92 

4U( 

L056 

J  .  VOv 

1.075 

G.*£^    ; 

3.86 

1872B. 

1S8OB. 

*  6  ©,                 Feb.    8.6. 

*  6  Mean  Sun,     Feb.  12.3. 

0 

—  1.065!—  6.32 

+1.0C7.+3.G5 

100 

L036 

6.71 

1.086 

4-27 

200 

U.998! 

7.04      1.096 

4.86  ; 

300     0.951J 

7.:  JO!     1.097 

5.40 

400|—  0.897;—  7.01  +1.1,-- 

+5/J1 

230 


SPECIAL  TABLES. 


TABLE  XXIV.—  e  Pegasi. 

h    m                                                      °      ' 

R.A.  21  37.8.                        Dec.  +    9  17. 

Upper  transit  at  fictitious  meridian. 

A0a 

A.   6 

Side- 
real 

A^a 

AQa 

AQ(5 

'_ 

)ay. 

Sidereal  Day. 

Mean  Day. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

187O. 

Var.  in 

10  y. 

Diff.  for 
10  d. 

1865. 

8                      " 

1873. 

8                     " 

0 

_j_0.674+7.71 

—0.918 

-7.45 

100 

0.599 

0.875 

7.58 

S 

// 

200 

0.520 

7.34 

0.824 

7.66 

0,  Jan.   0 

0.12 

-0.939 

+  2 

-  49 

+  1.37 

+  2 

-124 

300 

0.435 

7.05 

0.767 

7.68 

10 

1010 

0.976 

1 

—  21 

+  0.10 

2 

130 

400 

0.347 

6.71 

0.704 

7.62 

20 

20.07 

0.981 

1 

+    8 

-   1.21 

2 

131 

30 

30.04 

0.960 

+  1 

37 

2.50 

2 

126 

1866. 

1874. 

Feb.    9 

9.01 

0.907 

0 

69 

3.71 

2 

115 

0 

+0.377 

+6.83 

—0.726—7.65 

19 
Mar.    1 
11 
21 

18.99 
0.96 
10.93 
20.90 

0.821 
0.703 
0.555 
0.376 

—  1 
1 

2 
2 

102 
133 
164 
195 

4.77 
5.63 
6.24 
6.53 

1 
1 

0 

97 
74 
45 
—  13 

100 
200 
300 
400 

0.287 
0.194 

0.099 
0.003 

6.45 
6.01 
5.51 
4.97 

0.659'    7.56 
0.587     7.40 
0.510     7.19 
0.429     6.92 

31 

30.88 

-0.165 

2 

225 

6.50 

0 

+  20 

1867. 

1875. 

100,  Apr.  10 

9.85 

+0.074 

2 

252 

6.12 

0 

56 

0 

+0.036+5.16 

—0.457 

—7.01 

20 

19.82 

0.337 

3 

'275 

5.38 

0 

91 

100 

—0.060 

4.58 

0.373 

6.70 

30 

29.80 

0.622 

3 

292 

4.31 

0 

122 

200 

0.155 

3.97 

0.'287 

6.34 

May  10 

9.77 

0.920 

3 

305 

2.94 

— 

151 

300 

0.249 

3.32 

0.199 

5.92 

20 

19.74 

1.229 

3 

310 

—  1.29 

177 

400 

0.341 

2.65 

0.108 

5.45 

30 

29.71 

1.538 

3 

307 

+  0.59 

198 

1868  B. 

1876  B. 

June  9 
19 
29 
July  9 

8.69 
18.66 
28.63 
8.60 

1.840 
2.130 
2.399 
2.638 

2 
2 
2 
1 

297 
281 
255 
223 

2.65 
4.79 
6.98 
9.19 

0 

0 

211 
217 
221 
219 

0 
100 
200 
300 

—0.310 
0.399 

0.485 
0.567 

+2.88 
2.19 
1.49 
0.77 

—0.139—5.61 
—  0.0481    5.12  1 
+0.043     4.58 
0.134!    4.00  1 

200,           19 

18.58 

2.844 

1 

188 

11.34 

0 

210 

400 

0.643 

0.05 

0.224     3.39 

29 
Aug.  8 

28.55 
7.52 

3.013 
3.139 

—  1 

0 

148 
103 

*  13.37 
15.26 

0 
0 

197 
180 

1869. 

1877. 

18 

17.50 

3.219 

0 

59 

16.96 

+  1 

160 

0 

—0.618 

+0.29 

+  0.194 

—3.59 

28 

27.47 

3.257 

+  1 

+  16 

18.47 

1 

139 

100 

0.690 

—0.44 

0.283 

2.96 

200 

0.7571     1.16 

0.369 

2.31 

Sept.  7 

6.44 

3.252 

1 

—  25 

19.74 

1 

116 

300 

0.816     1.86 

0.453 

1.63 

17 

16.41 

3.208 

2 

64 

20.78 

1 

91 

400 

0.869|    2.55 

0.534 

0.94 

27 

26.39 

3.129 

2 

92 

21.56 

2 

67 

Oct.    7 

6.36 

3.025 

3 

116 

22.12 

2 

43 

1870. 

1878. 

17 

16.33 

2.899 

3 

134 

22.43 

2 

+  19 

0 

—0.862 

—2.32 

+0.507 

—1.17 

300,          27 

26.30 

2.760 

3 

143 

22.50 

3 

—    5 

100 

0.900 

3.00 

0.584 

—0.48 

Nov.  6 

5.28 

2.616 

3 

144 

22.33 

3 

28 

200 

0.939 

3.64 

0.657 

+0.23 

16 

15.25 

2.474 

2 

139 

21.94 

3 

50 

300 

0.970 

4.25 

0.725 

0.93 

26 

25.22 

2.340 

2 

127 

21.34 

4 

70 

400 

0.994 

4.83 

0.786 

1.63 

Dec.   6 

5.19 

2.222 

2 

110 

20.55 

4 

88 

1871. 

1879. 

16 
26 
36 

15.17 
25.14 
35.11 

2.122 

2.045 
+1.992 

2 
2 

+  2 

89 
65 
—  40 

19.58 
18.46 
+17.23 

4 
4 
+  4 

105 
118 
—127 

0 
100 
20C 

—0.987 
1.004 
1.013 

—4.64 
5.19 
5.69 

+0.766'+!.  39 
0.8;>4!    2.08 
0.874     2.76 

300 

1.013 

6.14 

0.918:     3.41 

400 

1.005 

6.5* 

0.954J     4.03 

1875J  B. 

1880  B. 

*  6  0,                 Feb.  10.4. 
4c  6  Mean  Sun,     Feb.  14.1. 

0 

—1.0091—6.41 

+0.943 

+3.83 

IOC 

0.995 

6.77 

0.974 

4.43 

20( 

0.972 

7.07 

0.996 

5.00 

1 

30( 

0.94'xd 

7.32 

1.011 

5.53 

! 

40( 

—0.904  —7.50 

+1.016 

+6.01 

SPECIAL  TABLES. 


231 


TABLE  XXIV.-*  11  Cephei. 

h    m                                                    °      ' 

R.A.  21  40.0.                       Dec.  +  70  43. 

Upper  transit  at  fictitious  meridian. 

A0a 

A0(J 

Side- 
real 

AQa 

AQ(J 

Ana 

*Q< 

Sidereal  Day. 

Day. 

1N7O. 

Var.in  Diff.  for 
10  y.      10  d. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                     " 

1873. 

H                      " 

0 

+1.349 

+7.67 

—0.962—7.44 

100 

1.401 

7.51 

1.058 

7.58 

8 

• 

// 

200 

1.440 

7.29 

1.146 

7.C5 

0,Jan.    0         0.12 

-2.784 

—  4   -441 

+13.76 

+  2 

—218 

300 

1.467 

699 

1.224 

7.65 

10 

10.10 

3.188 

6 

359 

11.36 

2 

261 

400 

1.482 

6.64 

1.291 

7.60 

20 

20.07 

3.498 

7 

259 

8.57 

2 

295 

30 

30.04 

3.703 

8 

148 

5.50 

2 

317 

1866. 

1874. 

Feb.   9 

9.02 

3.792 

9 

—  30 

+  2.27 

2 

327 

0 

+1.478 

+6.77 

-1.269 

—7.62 

19 
Mar.  1 
11 
21 

18.99 
0.96 
10.93 
20.91 

3.762 
3.610 
3.340 
2.960 

0000 

+  91 
212 

327 
432 

—  0.99 
4.15 
7.09 
9.69 

2 
2 
2 
1 

323 

307 
279 
239 

100 
200 
300 
400 

1.484 
1.477 
1.457 
1.424 

6.38 
5.93 
5.43 

4.89 

1.330 
1.379 
1.41? 
1.442 

7.52 

7.36 
7.14 
6.86 

31 

30.88 

2.480 

9 

525 

11.85 

1 

191 

1867. 

1875. 

100,  Apr.  10 
20 

9.85 
19.82 

1.916 
1.286 

8 
7 

601 
657 

13.49 
14.55 

1 
+  1 

136 
76 

0 
100 

+1.437;+5.08 
1.397     4.50 

—1.4351—6.96 
].453|    6.65 

30 

29.80 

—0.608 

6 

694 

15.00 

0 

—  14 

1.342 

3.89 

1.459 

6.28 

May  10 

9.77 

+O.C95 

4 

709 

14.83 

0 

+  48 

300 

1.277 

3.24 

1.454 

5.ar> 

20 

19.74 

0.802 

2 

702 

14.04 

0 

108 

400 

1.201 

2.57 

1.436 

5.38 

30 

29.72 

1.492 

—  1 

675 

12.67 

0 

165 

1868  B. 

1876  B. 

June  9 
19 

8.69 
18.66 

2.145 
2.743 

2 

629 
565 

10.76 

8.37 

—  1 
1 

216 
261 

0 

+1.228 

+2.80 

—1.443 

—5.55 

29 

28.63 

3.270 

3 

486 

5.56 

1 

299 

100 

1.145 

2.11 

1.417 

5.05 

July  9 

8.61 

3.711 

4 

395 

-  2.41 

1 

330 

200 
300 

LC53 

0.951 

1.40 

+0.68 

1.380!     4.51 
1.33l|     3.92 

200,          19 

18.58 

4.057 

5 

295 

+  1.00 

1 

352 

400 

0.841 

—0.04 

1.272!    3.31 

29 

28.55 

4.299 

6 

189 

4.60 

1 

366 

Aug.  8 

7.52 

4.434 

6 

+  80 

8.30 

1 

372 

1869. 

1877. 

18 
28 

17.50 
27.47 

4.458 
4.374 

7 
7 

-30 
137 

12.01 
15.68 

1 
1 

370 
361 

0 
100 

+0.679 
0.764 

+0.21 
—0.5* 

—1.293—3.52 
1.226     2.89 

Sept.  7 
17 
27 

6.44 
16.42 
26.39 

4.186 
3.900 
3.525 

6 
6 
6 

238 
332 
416 

19.21 

22.53 
25.57 

1 

—  1 

0 

344 

319 

288 

200 
300 
400 

0.643 
0.517 
0.3H6 

1.23 
1.93. 
2.62 

1.149:    2.24 
1.063!     1.56 
0.967     0.87 

Oct.    7 

6.36 

3.072 

5 

488 

28.27 

0 

250 

1870. 

1878. 

17 

16.33 

2.553 

4 

547 

30.56 

0 

207 

0 

+0.431 

—2.40 

—  l.OOG 

—1.10 

300,          27 

26.31 

1.984 

3 

590 

32.38 

0 

157 

100 

0.298 

3.06 

0.899 

—0.41 

Nov.  6 

5.28 

1.378 

+  2 

618 

33.69 

0 

103 

200 

0.163 

3.7C 

0.79C 

+0.ii9 

16 

15.25 

0.754 

0 

628 

34.44 

-f-  1 

+  46 

300 

+0.0*27 

4.31 

0.675 

0.99 

26 

25.22 

+0.127 

—  1 

622 

34.60 

—  14 

400 

—0.109 

4.88 

0.55o 

1.69 

Dec.  6 

5.20 

—0.483 

3 

596 

34.16 

1 

74 

1871. 

1879. 

16 
26 
36 

15.17 
25.14 
35.12 

1.060 
1.584 
—2.039 

5 

7 

—  8 

553 
493 
—415 

33.13 
31.53 
+29.41 

2 
2 

+  2 

132 

187 
—235 

0 
100 
200 

—0.063 
0.198 
0.331 

—4.69 
5.23 
5.72 

—  0.5951+1.45 
0.470!    2.14 
0.341      2.81 

300 

0.461 

6.J7 

0.208 

3.46 

400 

0.587|    6.56 

0.074 

4.08 

1872  B. 

1880  B. 

-*  6  ©,                  Feb.  11  0. 

*  6  Mean  Sun,    Feb.  14.7. 

C 

—0.545 

—6.43 

-0.119 

+3.88 

%.  S  Mean  Sun,     Aug.  16.3. 

100 

0.668 

6.79 

+0.016 

4.48 

200 

0.784 

7.08 

0.151 

5.04 

300 

0.894 

7.32 

0.286 

5.56 

|  400—0.996—7.50  +0.41? 

+6.04 

232 


SPECIAL  TABLES. 


TABLE  IXIV.-//  Capricorn!. 

h    m                                                       or 

E.A.  81  46.2.                        Dec.  —  14  10. 

Upper  transit  at  fictitious  meridian. 

A    a 

' 

A0<5 

|  Side- 
1  real 

AQa 

AQ(5 

AQa       AQJ 

Day. 

Sidereal  Day. 

Meau  Day. 



1870. 

Var.  in 

iuy. 

Diff.  for 
JOd. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                      " 

1873. 

8                          " 

0 

+0.567  +7.57 

-0.908—7.43 

100 

0.473 

7.39 

0.843 

7.55 

1 

n 

200 

0.375 

7.1C 

0.772 

7.59 

0,Jan.    0 

0.13 

-0.929 

+  3 

—  44 

—  i  4.60 

+   * 

—  23 

300 

0.274      6.84 

0.694 

7.58 

10 

10.10 

0.959 

2 

—  16 

4.78 

0 

13    i  400 

0.170     6.48 

0.611 

7.50 

20 

20.07 

0.961 

1 

+  13 

4.86         0 

—     1 

30 

30.05 

0.933 

+  I 

42 

4.79  1      0 

+  34 

1866. 

1874. 

Feb.    9 

9.02 

0.876 

0 

73 

4.57 

0  1      30 

0 

+0.2051+6.60 

—0.640—7.54 

19 
Mar.    1 
11 
21 

18.99 
0.97 
10.94 
20.91 

0.787 
0.6D7 
0.516 
0.333 

0 

—  1 
1 

2 

105 
136 
167 

4.19 
363 

2.88 
1.92 

0 

—   ] 

1 
1 

47 
66 
85 
104 

100 
200 
300 
400 

+0.100 
—0.006 
0.112 
0.218 

6.20 
5.74 
5.23 
4.68 

0.553 
0.463 
0.368 
0.270 

7.42 
7.24 
7.00 
6.71 

31 

30.88 

—0.121 

2 

226 

—  0.78 

1 

123 

1867. 

1875. 

100,  Apr.  10 
20 

9.86 
19.83 

+0.119 

0.385 

3 
3 

253 
278 

+  0.54 
2.01 

2 

140 
155 

0 
100 

—0.182 

0.286 

+4.87 
4.29 

—0.304 

0.205 

-6.81 
6.48 

30 

29.80 

0.674 

3 

298 

3.62 

7 

165 

200 

0.388 

3.67 

0.104 

6.09 

May  10 

9.77 

0.978 

4 

312 

5.30 

1 

171 

300 

0.486 

3.02 

—0.003 

5.66 

2U 

19.75 

1.295 

3 

320 

7.02 

—  I 

174 

400 

0.579 

2.34 

+0.09c 

5.18 

30 

29.72 

1.616 

3 

321 

8.76 

0 

171 

1868  B. 

1876  15. 

June  9 

8.69 

1.934 

3 

314 

10.43 

0 

163 

19 

18.66 

2.241 

3 

2LJ9 

12.02 

0 

151 

0 

—0.54^1+2.57 

+0.064  j—5.34 

29 

28.64 

2.529 

3 

276 

13.46 

+  1 

135 

100 

0.6361     1.88 

0.165 

4.8.5 

July   9 

8.61 

2.790 

2 

247 

14.72 

1 

116 

200 
300 

0.723     1.17 
0.801  1+0.46 

0.264 
0.381 

4.29 
3.70 

200,           19 

18.58 

3.020 

2 

212 

15.78 

2 

95 

400 

0.87*—  0.26 

0.456 

3.08 

29 

26.56 

3.210 

2 

170 

16.62 

2 

72 

Aug.  S 

7.53 

3.357 

2 

125 

17.22 

2 

48 

1869. 

1877. 

18 
28 

17.50 

27.47 

3.459 
3.516 

1 

80 
+  34 

17.58 
17.73 

3 
3 

25 
-f    4 

0 
100 

—0.849 
0.914 

—0.02 

+0.424 
0.516 

—3.29 
2.65 

Sept.  7 
17 

27 

6.45 
16.42 

26  .39 

3.527 
3.498 
3.432 

0 
0 
0 

-    9 

48 
82 

17.66- 
17.43 
17.06 

3 
3 
4 

—  15 

30 
43 

200 
300 
400 

0.972 
1.021 
1.06;. 

L44 
2.13 

281 

0.604 

0.687 
0.765 

1.99 
1.32 
0.63 

Oct.    7 

6.36 

3.335 

+  I 

109 

16.57 

4 

54 

1870. 

1878. 

17 

16.34 

3.216 

1 

128 

15.99 

4 

60 

0 

-1.049 

—2.58 

+0.739 

—0.87 

300,          27 

20.31 

3.082 

2 

139 

15.38 

4 

62 

100 

1.083 

3.24    '  0.813 

—0.17 

Nov.   6 

5.28 

2.941 

3 

141 

14.76 

4 

61 

200 

1.108 

3.86 

0.880 

+0.52 

16 

15.26 

2.802 

3 

136 

14.17 

4 

58 

300 

1.123 

4.46 

0.940|     1.22 

26 

25.23 

2.671 

3 

124 

13.61 

3 

54 

400 

1.128 

5.01 

0.9!];.     1,90 

Dec.    6 

5.20 

2.555 

3 

108 

13.10 

3 

47 

1871. 

1879. 

16 

26 
36 

15.17 
25.15 
35.12 

2.457 
2.384 
+2.336 

2 

2 
+  1 

86 
60 
—  34 

12.67 
12.32 

+  12.07 

3 
3 

+  3 

39 
30 
—  20 

0 
100 
200 

—1.128 
1.127 
1.116 

—4.83 
5.35 
5.82 

+0.975 
1.022 
1.060 

+  1.67 
2.35 
3.00 

300 

1.096 

6.25 

1.090 

3  64 

400 

1.067 

6.62 

1.111 

4.24 

1872  15. 

188O  B. 

*  6  0,                 Feb.  12.6. 

>j<  6  Mean  Sun,     Feb.  16.2. 

0 

—1.078 

—6.50 

+1.105+4.04 

100 

1.043 

6.83 

1.1191     4.63 

200 

0.999 

7.11 

1.125!    5.17 

300 

0.947 

7.32 

1.1  20      5.68 

400 

—0.887  —7.48 

+1.1G6+6.13 

SPECIAL  TABLES. 


233 


TABLE  XXIV.—*  79  Draconis. 

h    m                                                    01 

R.A.  21  51.2.                        Dec.  +  73    5. 

Upper  transit  at  fictitious  meridian. 

AQa 

A0<J 

Side- 
real 

AQa 

Arv* 

Mean 

Day. 

Slilcrcjil  Dfiy. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

187O. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                    " 

1873. 

s              " 

0 

+1.538+7.48 

—1.049 

—7.42 

i 

100 

1.608 

7.28 

1.169 

7.52 

1 

s 

// 

200 

1.664 

7.02 

1.279 

7.55 

0,Jan.    0 

0.13 

-2.991 

—  6 

—544 

+14.64 

+  1 

—202 

300 

1.706 

6.70 

1.378 

7.5-2 

10 

10.11 

3.490 

8 

450 

12.38 

2 

248 

400 

1.733 

6.33 

1.465 

7.43 

20 

20.08 

3.886 

10 

340 

9.70 

2 

285 

30 

30.05 

4.165 

11 

216 

6.71 

2 

311 

1866. 

1874. 

Feb.    9 

9.02 

4.315 

12 

—  82 

3.52 

2 

325 

0 

+1.725|+6.46V—  1.437 

—7.47 

19 
Mar.   1 
11 
21 

19.00 
0.97 
10.94 
20.92 

4.328 
4.202 
3.940 
3.548 

13 
13 
13 
13 

+  56 
195 
329 
452 

+  0.26 
-  2.94 
5.95 

866 

2 
2 

1 
1 

325 
313 
290 
252 

100 
200 
300 
400 

1.742     6.04 
1.744     5.57! 
1.730     5.06 
1.701!    4.49 

1.517 
1.584 
1.637 
1.677 

7.33 
7.14 

6.89 
6.58 

31 

30.89 

3.040 

12 

562 

10.95 

1 

206 

1867. 

1875. 

100,  Apr.  10 
20 

9.86 
19.83 

2.431 
1.741 

10 
9 

653 
723 

12.75 
13.99 

1 

+  1 

153 
94 

0 
100 

+1.713 
1.674 

+4.69  !—  1.665!—  6.69 
4.10i!     1.696     6.35 

30 
May  10 
20 

29.80 
9.78 
19.75 

0.993 
-0.210 
+0.583 

7 
5 
3 

769 
792 
790 

14.63 
14.65 
14.06 

000 

—  33 
+  29 
90 

200 
300 
400 

1.621 
1.554 
1.473 

3.48'     1.713     5.95 
2.82      1.7161    5.51 
2.141!     1.705|    5.02 

30 

29.72 

1.362 

—  1 

764 

12.87 

0 

147 

1868  B. 

1876  B. 

June  9 
19 

870 
18.67 

2.104 
2.789 

3 

717 

649 

11.12 

8.88 

0 

200 
247 

0 

+1.502 

+2.37 

—  .7101—5.19 

29 

28.64 

3.397 

4 

564 

6.20 

238 

100 

1.413 

1.68 

.689 

4.67 

July  9 

8.61 

3.913 

6 

466 

—  3.16 

321 

200 

1.311 

0.96 

.655 

4.11 

300 

1.199 

+0.27 

.606 

3.52 

200,          19 

18.59 

4.325 

7 

356 

+  0.18 

346 

400 

1.075 

—0.44 

.545 

2.90 

29 

28.56 

4.622 

8 

239 

3.73 

363 

Aug.  8 

753 

4.800 

9 

+117 

7.41 

372 

1869. 

1877. 

18 
28 

17.50 

27.48 

4.856 
4.790 

9 
9 

-    5 
126 

11.15 
14.86 

374 
367 

0 
100 

+1.118 
0.989 

—0.19—  .567 
0.91        .497 

—3.11 
2.48 

Sept.  7 
17 
27 

6.45 
16*.  42 
26.40 

4.007 
4.311 
3.912 

0000  l>. 

241 
349 
447 

18.46 
21.90 
25.07 

353 
331 
302 

200 
300 
400 

0.852 
0.707 
0.557 

1.61 

229 
2.96 

.415 
.320 
1.215 

1.82 
1.15 
0.46 

Oct.    7 

6.37 

3.422 

6 

532 

27.92 

— 

267 

187O. 

1S7»- 

17 

16.34 

2.853 

5 

603 

30.39 

I 

225 

0 

+0.608 

—2.74  —  1.252'—  0.69 

!  300,          27 

26.31 

2.220 

3 

659 

32.41 

0 

177 

100 

0.455 

3.38 

1.139 

0.00 

Nov.  6         5.29 

1.540 

+  1 

697 

33.91 

0 

124 

200 

0298 

3.99 

1.017+0.69 

16       15.26 

0832 

—  I 

717 

34.87 

+  1 

67 

300+0.139 

4.57 

0.887 

1.37 

26 

25.23 

+0.112 

3 

717 

35.25 

1 

+    7 

400-0.021 

5.11 

0.748 

2.05 

Dec.   6 

5.20 

-0.596 

5 

696 

35.01 

1 

—  54 

1871. 

1879. 

36 

15.18 
25.15 
35.12 

1.274 

1  899 
—2.452 

7 
9 
—11 

655 
593 
—511 

34.18 
32.77 

+30.81 

1 

2 

+  2 

113 

169 
—220 

01+0.033 
100—0.127 
200     0.285 

—4.93 
5.44 
5.90 

—0.7961+1.82 
0.653     2.49 
0.504     3.14 

300 

0.440 

6.31 

0.350 

3.76 

400 

O.LOl 

6^67 

0.194 

4.36 

1872  B.                 188O  B. 

*  6  0,                 Feb.  13.9. 

*  6  Mean  Sun,     Feb.  17  5. 

0—0.541 

—6.55  —0.247 

+4.16 

*  8  Mean  Sun,     Aug.  19.1. 

100     0.689 
200     0.830 

6.87  —0.089 
7.13+0.071 

4.73 
5.26 

300     0.965 

7.33      0.230 

5.75 

I 

400  —  1.091  —7.46  +0.388+6.20 

234: 


SPECIAL  TABLES. 


TABLE  XXIV.-a  Gruis. 

h    m                                                     o      / 

E.A.  22    0.0.                       Dec.  —  47  35. 

Upper  transit  at  fictitious  meridian. 

A0a 

A0<5 

Side- 
real 

AQa 

A^rf 

AQa 

AQ<5 

. 

Mouu  Dftv. 

Day. 

Sidereal  Day. 

1 

187O. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                   " 

1873. 

8                    " 

0 

+0.312+7.32 

—0.850 

—7.39 

100 

0.180 

7.10 

0.741 

7.46 

1 

// 

200 

+0.046 

6.81 

0.627 

7.46 

0,  Jan.   0 

0.14 

—1.275 

+  5 

—106 

-12.19 

—  2 

+125 

300 

—0.088 

6.47 

0.507 

7.40 

10 

10.11 

1.361 

5 

64 

10.77 

3 

157 

400 

0.222 

6.07 

0.384 

7.28 

20 

20.08 

1.404 

4 

—  21 

9.06 

3 

186 

30 

30.06 

1.402 

3 

+  24 

7.07 

4 

210 

1866. 

1874. 

Feb.  9 

9.03 

1.356 

2 

69 

4.88 

4 

229 

0 

-0.178 

+6.21 

—0.426 

-7.33 

19 
Mar.  1 
11 
21 

19.00 
0.97 
10.95 
20.92 

1.264 
1.126 
0.943 
0.716 

0 
—  1 
2 

115 
161 

205 
249 

2.51 

—  0.02 
+  2.54 
5.11 

4 
4 
4 
4 

244 
253 

257 
257 

100 
200 
300 
400 

0.311 
0.441 
0.567 
0.689 

5.78 
5.29 
4.7C 
4.19 

0.300 
0.173 
—0.044 

+0.085 

7.17 

6.95 
6.67 
6.34 

31 

30.89 

0.446 

3 

291 

7.67 

3 

253 

1867. 

1875. 

100,  Apr.  10 
20 

9.87 
19.84 

—0.136 
+0.210 

4 
5 

329 

362 

10.15 
12.49 

3 
3 

242 
227 

0 

100 

—0.648 
0.766 

+4.36 
3.76 

+0.042 
0.170 

—6.46 
6.09 

30 

29.81 

0.585 

6 

390 

14.67 

2 

207. 

200 

6.877 

3.13 

0.297 

5.68 

May  10 

9.78 

0.987 

6 

412 

16.61 

1 

182 

300 

0.980 

2.47 

0.421 

5.22 

20 

19.76 

1.406 

7 

426 

18.29 

—  1 

154 

400 

1.074     1.80 

0.543 

4.71 

30 

29.73 

1.835 

7 

430 

19.67 

0 

121 

1868  B. 

1876  B. 

June  9 

8.70 

2.262 

8 

423 

20.70 

+  1 

84 

19 

18.67 

2.677 

8 

406 

21.35 

2 

46 

0 

—1.0431+2.04 

+0.502  —4.89 

29 

28.65 

3.070 

7 

379 

21.61 

3 

+    7 

100 

1.131      1.3f 

0.620 

4.36  i 

July  9 

8.62 

3.431 

7 

343 

21.49 

3 

-  31 

200 
300 

1.209+0.b'£ 

1.277—  0.  Or. 

0.733 

0.840 

3.79  ! 
3.19 

200,          19 

18.59 

3.752 

7 

296 

20.99 

4 

69 

400 

1.333|     0.7f, 

0.940 

2.57 

29 

28.57 

4.021 

6 

242 

20.12 

5 

104 

Aug.  8 

7.54 

4.234 

6 

183 

18.91 

5 

135 

1869. 

1877. 

18 

28 

17.51 

27.48 

4.386 
4.473 

5 
4 

120 
+  55 

17.43 
15.73 

5 
6 

160 
179 

0 
100 

—1.315 
1.364 

—0.52 
1.22 

+0.907—2.77 
1.002     2.13 

Sept.  7 
17 

27 

6.46 
16.43 
26.40 

4.496 

4.458 
4.363 

4 
3 
o 

—    8 
68 
120 

13.88 
11.96 
10.04 

6 
6 
6 

190 
193 

188 

200 
300 
400 

1.400 
1.425 
1.437 

1.91 
2.5& 
3.22 

1.0891     1.48 
1.167)     0.80 
1.235J     0.12 

Oct.    7 

6.37 

4.221 

—  1 

164 

8.22 

7 

175 

187O. 

1878. 

17 

16.35 

4.039 

0 

197 

6.57 

6 

154 

0 

—1.434 

—3.00 

+1.213—0.35 

300,          27 

2632 

3.830 

0 

219 

5.16 

5 

126 

100 

1.438 

3.63 

1.275+0.33 

Nov.  6 

5.29 

3.605 

+  1 

230- 

4.06 

4 

93 

200 

1.429 

4.22 

1.327 

1.01 

16 

15.26 

3.374 

1 

229 

3.31 

4 

56 

300 

1.408 

4.78 

1.368 

1.68 

0S 

25.24 

3.151 

1 

217 

2.95 

3 

—  16 

400 

1.375 

529 

1.397i    2.34 

Dec.  6 

5.21 

2.944 

1 

195 

2.99 

2 

+  25 

1871. 

1879. 

16 
26 
36 

15.18 
25.16 
35.13 

2.763 
2.614 
+2.503 

2 
2 

166 
131 
—  91 

3.44 

4.28 
+  5.48 

2 
0 

65 
103 
+137 

0 
100 
200 

—1.387 
1.347 

1.294 

—5.12 

5.60 
6.03 

+1.388+2.12 
1.410     2.77 

1.4201    3.40 

300 

1.232 

6.41 

1.4l9!    4.00 

400 

1.158 

6.74 

1.405     4^57 

1872  B. 

188O  B. 

*  6  0,                 Feb.  16.1. 

;j<  <3  Mean  Sun,    Feb.  19.7. 

0 

—1.184—6.63 

+1.411 

+439 

100 

1.104     6.92 

1.390 

4.93 

200 

1.016 

7.15 

1.356 

5.44 

300 

0.919     7.32 

1.311 

5.90 

400 

—0.815—7.42 

+1.25fj 

+6.31 

SPECIAL  TABLES. 


235 


TABLE  XXIV.-0  Aquarii. 

h    m                                                    °      ' 

R.A.  22  10.0.                       Dec.  —    8  26. 

Upper  transit  at  fictitious  meridian. 

Aort 

V 

Side- 
real 
Day. 

Afttt 

ACV> 

AQa 

A^ 

187O. 

Var.  in 
lOy. 

Diff.  for 
10  d. 

1870. 

Tar.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                    " 

1873. 

B 

0 

+0587 

+7.12 

—0.904 

—7.35 

100 

0.498 

6.87 

0.844 

7.38 

a 

// 

200 

0.405 

6.56 

0.778 

7.35 

0,  Jan.  0 

0.15 

—0.799 

+  3 

—  62 

—  3.45 

+   1 

-  48 

300 

0.308 

6.19 

0.706 

7.26 

10 

10.12 

0.849 

2 

36 

3.85 

+   1 

40 

400 

0.208 

5.77 

0.628 

7.11 

20 

20.09 

0.871 

2 

-  10 

4.21 

0 

30 

30 

30.06 

0.8(59 

2 

+  16 

4.45 

0 

18 

1866. 

1874. 

Feb.   9 

9.04 

0.838 

+  1 

45 

4.56 

0 

—    2 

0 

+0.242 

+5.92 

—0.655 

—7.16 

19 
Mar.   1 
11 
21 

19.01 
0.98 
10.95 
20.93 

0.778 
0.686 
0.563 
0408 

0 
0 
—  1 

1 

76 
107 
139 
171 

4.49 
4.23 
3.77 
3.09 

0 
0 
0 
0 

+  16 
36 
57 
81 

100 
200 
300 
400 

0.141 

+0039 
—  O.C64 
0.166 

5.46 
4.96 
4.41 
3.82 

0.573 

0.487 
0.397 
0.304 

6.97 
6.73 
6.42 
6.07 

31 

30.90 

0.221 

2 

203 

2.16 

0 

104 

1867. 

1875. 

100,  Apr.  10 

9.87 

—0.002 

2 

234 

—  1.01 

0 

125 

0 

—0.131 

+4.02 

-0.3361—6.19 

20 

19.85 

-f-0.245 

2 

260 

-f  0.34 

— 

145 

100 

0.233 

3.41 

0.241 

5.80 

30 

29.82 

0.516 

3 

283 

1.88 

162 

200 

0.332 

2.77 

0.145 

5.37 

May  10 

9.79 

0.809 

3 

301 

3.56 

175 

300 

0.428 

2.11 

—0.047 

4.89 

20 

19.76 

1.116 

3 

312 

5.36 

183 

400 

0.521 

1.43 

+0.051 

4.37 

30 

29.74 

1.431 

4 

316 

7.20 

186 

1868  B. 

1876  B. 

June  9 
19 

8.71 
18.68 

1.746 
2.054 

4 
3 

313 

302 

9.06 
10.87 

184 
177 

0 

-0.490 

+1.66 

+0.018 

—4.55 

29 
July    9 

28.65 
8.63 

2.347 
2.617 

3 
3 

283 

256 

12.59 
14.17 

0 

+  1 

166 
150 

100 
200 
300 

0.579 
0.664 
0.742 

0.97 

+0.28 
—0.42 

0.115 

0.212 
0.308 

4.01 
343 

2.83 

200,          ]9 

18.60 

2.856 

2 

223 

1558 

1 

132 

400 

0.814 

1.11 

0.400 

2.20 

29 

28.57 

3.061 

2 

185 

16.80 

1 

111 

Au£.  8 

7.54 

3.225 

1 

142 

17.79 

2 

87 

1869. 

1877. 

18 
& 

17.52 
27.49 

3.345 
3.422 

—  1 
0 

99 
55 

18.54 

19.07 

2 

2 

64 
41 

0 
100 

—0.790 
0.857 

—0.88 
1.57 

+0.369 
0.460 

—2.40 
1.76 

Sept.  7 

6.46 

3.455 

0 

+  12 

1936 

2 

+  18 

200 
300 

0.916 
0.968 

2.24 

2.89 

0.547 
0.629 

1.10 

—0.44 

17 

27 

16.44 
26.41 

3.447 
3.403 

0 

+  1 

—  27 
61 

19.44 
19.35 

2 
3 

18 

400 

1.010 

3.51 

0.707 

+0.24 

Oct.    7 

b.38 

3.327 

1 

90 

19.09 

3 

33 

1870. 

1878. 

17 

16.35 

3.226 

2 

111 

18.70 

3 

44 

0 

—0.997 

—3.30 

+0.681 

+0.01 

300,          27 

26.33 

3.108 

2 

125 

18.23 

3 

53 

100 

.034 

3.90 

0.755 

0.68 

Nov.  6 

5.30 

2.978 

2 

132 

17.66 

3 

58 

200 

.062 

4.47 

0.823 

1.35 

16 

15.27 

2.847 

2 

131 

17.08 

3 

60 

300 

.08U 

4.9i) 

0.884 

2.01 

26 

25.24 

2.719 

3 

124 

16.47 

2 

62 

400 

.090 

5.4fc 

0.938 

2.66 

Dec.   6 

5.22 

2.601 

3 

111 

15.85 

3 

61 

1871. 

1879. 

16 
26 
36 

15.19 
25.16 
35.14 

2.499 
2.414 
+2.351 

3 
2 

+  2 

94 
74 
—  52 

15.25 
14.69 
+  14.20 

3 
3 

-h  3 

58 
53 
—  46 

0 
100 
200 

—  .088 
.091 
.085 

—5.32 
5.77 
6.17 

+0.921 
0.970 
1.011 

+2.44 
3.07 
3.68 

300 

.069 

6.52 

1.043 

4.26 

400 

1.045 

6.81 

1.067 

4.80 

1872  B. 

1880  B. 

*  6  0,                  Feb.  18.7. 

*  6  Mean  Sun,     Feb.  22.3. 

0 

—1.054 

-6.72 

+1.060 

+4.62 

100 

1.024 

697 

1.078 

5.14 

200 

0.986 

7.16 

1.087 

5.62 

300 

0.939 

7.30 

1.087 

6.05 

400 

—0.884 

—7.37 

+  1.07S  +6.43 

236 


SPECIAL  TABLES. 


TABLE  XXIV.—  TT  Aquarii. 

h    m                                                       o      » 

R.A.  22  18.6.                        Dec.  +    0  43. 

Upper  transit  at  fictitious  meridian. 

AQa 

A0<* 
' 

Side- 
real 

AQa 

A    d 

AQa 

&    6 

\-s 

Day. 

Sidereal  Day. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                    " 

1873. 

0 

+0.638 

+6.93 

—0.917 

-7.30 

100 

0.556 

6.66 

0.866 

7.30 

8 

// 

200 

0.470 

6.33 

0.808 

7.24 

0,Jan.    0 

0.15 

—0.745 

+  2 

—  68 

—  0.83 

_j_ 

—  83 

300 

0.379 

5.94 

0.744 

7.12 

10 

10.12 

0.802 

2 

46 

1.66 

81 

400 

0.285 

5.50 

0.673 

6.94 

20 

20.10 

0.836 

2 

—  22 

2.45 

77 

30 

30.07 

0.845 

I 

+    5 

3.18 

68 

1866. 

1874. 

Feb.    9 

9.04 

0.826 

+  1 

33 

3.80 

56 

0 

+0.317 

+5.65 

—0.698 

-7.01 

19 
Mar.    1 
11 
21 

19.01 
0.99 
10.96 
20.93 

0.779 
0.701 
0.590 
0.446 

0 
—  1 

1 
1 

62 
94 
127 
161 

4.28 
4.58 
4.64 
4.46 

+   1 

0 
0 
0 

40 
—  19 

+    6 

31 

100 

200 
300 
400 

0.221 
0.  123 
+0.024 
—0.075 

5.17 

4.65 
4.09 
3.50 

0.624 
0.545 
0.461 
0.374 

6.79 

6.52 
6.19 

5.82 

31 

30.91 

0.26S 

2 

193 

4.01 

0 

59 

1867. 

1875. 

100,  Apr.  10 

9.88 

—0.060 

2 

223 

3.27 

-  1 

88 

0 

—0.041 

+3.70 

—0.404 

—5.95 

20 

19.85 

+0.178 

2 

252 

2.26 

1 

114 

100 

0.140 

3.08 

0.315 

5.54 

30 

29.82 

0.443 

3 

275 

—  0.99 

1 

140 

200 

0.238 

2.44 

0.223 

5.09 

May  10 

9.80 

0.727 

3 

294 

+  0.53 

1 

162 

300 

0.333 

1.78 

0.130 

4.60 

20 

19.77 

1.030 

3 

308 

2.24 

2 

179 

400 

0.426 

1.10 

0.035 

4.06 

30 

29.74 

1.341 

3 

312 

4.09 

2 

192 

1868  B. 

1876  B. 

June  9 

8.71 

1.652 

3 

310 

6.07 

1 

199 

19 

18.69 

1.959 

3 

300 

8.07 

1 

200 

0 

—0.395 

+1.32 

—0.067 

-4.25 

29 

28.66 

2.250 

3 

281 

10.06 

—  1 

197 

100 

0.485 

+0.64 

+0.027 

3.69 

July   9 

8.63 

2.518 

2 

254 

11.99 

0 

189 

200 
300 

0.571 
0.651 

—0.05 
0.74 

0.122 
0.215 

3.11 

2.50 

200,          19 

18.61 

2.756 

2 

222 

1383 

0 

176 

400 

0.726 

1.42 

0.307 

1.87 

29 

28.58 

2.961 

1 

186 

15.50 

0 

159 

Aug.  8 

7.55 

3.127 

1 

146 

17.01 

0 

141 

1869. 

1877. 

18 

28 

17.52 
27.49 

3.252 
3.333 

—  1 

0 

103 

59 

18.31 
19.38 

+  \ 

119 

96 

0 

100 

—0.701 
0.772 

—1.20 

1.87 

+0.276 
0.366 

—2.08 
1.43 

27 

6.47 
1644 
26.41 

3.371 
3.371 
3.333 

0 

+  1 

1 

+  19 
—  20 
55 

20.23 
20.86 
21.26 

2 
2 

2 

74 
51 
30 

200 
300 
400 

0.835 
0.892 
0.940 

2.53 
3.15 
3.75 

0.454 
0.538 
0.617 

0.78 
—0.11 
+0.55 

Oct.    7 

6.39 

3.263 

1 

82 

21.46 

2 

+  10 

187O. 

1878. 

17 

16.36 

3.170 

2 

103 

21.47 

3 

—    7 

0 

—0.924 

—3.55 

+0.5911+0.33 

300,          27 

26.33 

3.058 

2 

119 

21.32 

3 

23 

100 

0.967 

4.13 

0.667 

0.99 

Nov.   6 

5.30 

2.934 

3 

126 

21.01 

3 

38 

200 

1.002 

4.68 

0.738 

1.65 

16 

15.28 

2.807 

3 

126 

20.56 

3 

52 

300 

1.027 

5.18 

0.803 

2.29 

26 

25.25 

2.683 

3 

123 

19.98 

3 

62 

400 

1.044 

5.63 

0.862 

2.92 

Dec.    6 

5.22 

2.563 

3 

113 

19.32 

4 

70 

1871. 

1879. 

16 
26 

36 

15.20 
25.17 
35.14 

2.458 
2.367 
+2.297 

2 

2 
+  2 

98 
81 
—  60 

18.59 
17.81 
+16.99 

4 
4 

+  3 

76 

80 
—  82 

0 
100 
200 

—1.040 
1.051 
1.053 

—5.49 
5.91 
6.28 

+0.843 
0.897 
0.943 

+2.71 
3.33 
3.91 

300 

1.046 

6.60 

0.982 

4.47 

400 

1.030 

6.86 

1.013 

4.99 

1872  B. 

1880  B. 

*  6  ©,                 Feb.  20.  D. 

;fc  6  Mean  Sun,     Feb.  24.5. 

0 

—1.036 

—6.78 

+1.003 

+4.82 

100 

1.U15 

7.00 

1.028 

5.31 

200 

0.985 

7.16 

1.045 

5.76 

300 

0.946 

7.26      1.053 

6.16 

400—  0.90J 

—7.30,  +1.051 

+6.52 

SPECIAL  TABLES. 


237 


TABLE  XXIV.-?  Aqnarii. 

h    m                                                        o      ' 

R.A.  22  28.7.                       Dec.  —    0  47. 

Upper  transit  at  fictitious  meridian. 

AQa 

' 

A0<J 

' 

Side- 
real 

Aaa 

AaJ 

AQa 

AQd 

Day. 

S  lucre  nl  Day. 

>I  tail  Day. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10y. 

Diff.  for 
10  d. 

1865. 

8                     " 

1873. 

8                      " 

0 

+0.629J+6.71 

—0.914 

—7.22 

100 

0.546!     6.40 

0.86-2 

7.19 

s 

,/ 

200 

0.459     6.05 

0.803 

7.10 

0,Jan.    0 

0.16 

—0.695 

+  3 

—  73 

—  1.30 

+   1 

—  75 

300 

0.367     5.63 

0.737 

6.94 

10 

10.13 

0.758 

2 

52 

2.04 

1 

73 

400 

0.272J    5.17 

0.685 

6.74 

20 

20.10 

0.799 

2 

29 

2.75 

1 

68 

30 

30.08 

0.816 

2 

—    4 

3.39 

1 

59 

1866. 

1871. 

Feb.   9 

9.05 

0.806 

+  1 

+  24 

3.91 

1 

46 

0 

+0.304  +5.33 

—0.690—6.81 

19 
Mar.   1 
11 
21 

19.02 
0.99 
10.97 
20.94 

0.768 
0.699 
0.599 
0.464 

0 
0 
—  1 
1 

53 
84 
117 
152 

4.29 
4.48 
4.44 
4.17 

1 

0 

29 
—    8 
+  15 
40 

100 
200 
300 
400 

0.207 
0.109 
+0.010 
—0.090 

4.84 
4.30 
3.72 
3.12 

0.615 
0.534 
0.450 
0.362 

6.57 
6.27 
5.92 
5.52 

31 

30.91 

0.295 

2 

185 

3.63 

—  I 

67 

18«7. 

1875. 

1  00,  Apr.  10 

9.88 

—0.094 

2 

216 

2.83 

94 

0 

—0.057 

+3.32 

—0.392;—  5.66 

20 

19.86 

+0.137 

2 

245 

1.75 

121 

100 

0.156 

2.70 

0.302 

5.23 

30 

29.83 

0.395 

2 

272 

—  0.41 

144 

200 

0.254 

2.05 

0.210     4.76 

May  10 

9.80 

0.679 

2 

293 

+  1.13 

164 

300 

0.349 

1.38 

0.116     4.25 

20 

19.78 

0.978 

2 

306 

2.86 

181 

400 

0.442 

0.71 

0.0211     3.70 

30 

29.75 

1.288 

3 

313 

4.74 

192 

1868  B. 

1876  B. 

June  9 
19 

29 
July  9 

200,          19 

8.72 
18.69 
28.67 
8.64 

18.61 

1.602 
1.910 
2.206 
2.481 

2.728 

3 
2 
2 
2 

2 

312 

303 

287 
262 

231 

6.68 
8.68 
10.65 
12.55 

14.35 

0 

198 
200 
194 
185 

172 

0 
100 
200 
300 
400 

—0.411 
0.501 
0.58H 
0.665 
0.740 

+0.93 
+0/25 
—0.43 
1.11 
1.77 

—0.053 
+0.04-2 
0.137 
0.231 
0.323 

—3.89 
3.33 
2.73 
2.12 
1.48 

29 

28.59 

2.941 

1 

195 

15.97 

0 

153 

Aug.  8 

7.56 

3.117 

—  1 

155 

17.40 

0 

133 

1869. 

1877. 

18 
28 

17.53 
27.50 

3.251 
3.343 

0 
0 

113 

70 

18.63 
19.64 

0 

+  1 

112 

89 

0 

100 

—0.716 
0.786 

—1.56 
2.21 

+0.292 
0.382 

—1.70 
1.05 

Sept.  7 
17 

6.48 
16.45 

3.392 
3.401 

0 

+  1 

+  29 
—  10 

20.41 
20.96 

1 

2 

66 
44 

200 
300 
400 

0.848 
0.904 
0.951 

2.85 
3.46 
4.03 

0.469!—0.39 
0.553!+0.26 
0.6321    0.92 

27 

26.42 

3.373 

1 

45 

•21/29 

2 

2-2 

Oct.    7 

6.39 

3.313 

2 

75 

21.40 

3 

+    2 

1S7O. 

1878. 

17 

16.37 

3/2-26 

2 

97 

21.34 

3 

—  13 

0 

-0.936 

—3.84  +0.606'+0.69 

300,          27 

26.34 

3.121 

2 

112 

21  14 

3 

29 

100 

0.978 

4.40 

0.681 

1.35  i 

Nov.   6 

5.31 

3.004 

2 

122 

•20.76 

3 

43 

201 

1.011 

4.91 

0.752 

1.99  : 

16 

15.28 

2.879 

2 

125 

20/29 

3 

52 

300 

1.036 

5.38 

0.816 

2.62  | 

26 

25/26 

2.755 

3 

121 

19.72 

3 

62 

4UO 

1.051     5.80 

0.874 

3/23  i 

Dec.   6 

5.23 

2.638 

3 

113 

19.U6 

3 

69 

1871. 

1879.         i 

16 
26 
36 

15.20 
25.18 
35.15 

2.530 
2.438 
+V.  3d-2 

3 
3 

+  3 

100 

84 
—  6G 

18.35 
17.62 
+16.85 

3 
3 

+  3 

72 
75 
—  75 

0 
100 
200 

—1.047 
1.057 
1.057 

—5.67 
6.06 
0.40 

+0.855 
0.908 
0.954 

+3.03  i 
3.62  1 
4.18  1 

300 

1.049 

6.68 

0.992 

4.71  i 

40( 

1.032 

6.90 

1.021 

5.20  i 

1872  B. 

1880  B. 

*  6  0,                  Feb.  23.6. 

#  6  Mean  Sun,     Feb.  27.0. 

0 

-1.038 

—683  +1.012+5.04  ! 

100 

1.015 

7.02 

1.036 

5.50  i 

200 

0.984 

7.15 

1.051 

5.92  ' 

* 

30( 

0.944 

7.21 

1.058 

6.29  ! 

400 

_  0.897—7.2-2+1.05^+6.61 

238 


SPECIAL  TABLES. 


TABLE  XXIV.-*  226  Cephei  (B). 

h    m                                                      °      ' 

R.A.  22  30.0.                       Dec.  +  75  33. 

Upper  transit  at  fictitious  meridian. 

A    a 

' 

A    6 

' 

Side- 
real 

AQa 

AQc5 

AQa 

A    d 

Day. 

1N7O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1S7O. 

Var.  in  Diff.  for 
10  y.       10  d. 

1865. 

8                    " 

1873. 

s               " 

3    \ 

0 

+2.011 

+6.6fc 

—  1.395 

—7.21 

1 

100 

2.097 

6.3? 

1.54? 

7.18 

8 

// 

1 

200 

2.165 

6.00 

1.686 

7.08 

0,Jan.    0 

0.16 

-2.739 

-  6 

—721 

+16.80 

+  1   —150 

300 

2.215 

5.5fe 

1.811 

6.92 

10 

10.13 

3.419 

9 

635 

15.03 

2 

203 

400 

2.245 

5.12 

1.920 

6.71 

20 

20.10 

4.001 

12 

525 

12.77 

2 

248 

30 

30.08 

4.463 

14 

396 

10.09 

2 

284 

1866. 

1874. 

Feb.   9 

9.05 

4.786 

16 

249 

7.12 

2 

309 

0 

+2.237 

+5.28 

—1.885 

—6.79 

19 
Mar.  1 
11 
21 

19.02 
1.00 
10.97 
20.94 

4.957 
4.967 
4.813 
4.499 

18 
19 
19 
19 

—  91 

+  72 
235 
391 

3.96 
+  0.75 
—  2.38 
5.32 

2 
2 
2 
2 

321 

320 
305 
279 

100 
200 
300 

400 

2.254 
2.252 
2.230 

2.188 

4.7S 

3!<>7 
3.06 

1  984 
2.066 
2.132 
2.179 

6.54 
6.24 
5.S8 

5.48 

31 

30.91 

4.035 

18 

535 

7.93 

2 

242 

1867. 

1875. 

100,  Apr.  10 
20 
30 

9.89 
19.86 

29.83 

3.434 
2.719 
1.913 

17 
15 
13 

661 
765 
843 

10.13 
11.84 
12.99 

2 

1 
1 

196 
144 

86 

0 
100 
200 

+2.207 
2.151 

2.078 

+3.2? 
2.64 
1.90 

-2.  165  -5.62 
2.20  ij     5.19 
2.218     4.72 

May  10 

9.80 

1.042 

10 

894 

13.55 

+  1   —  26 

300 

1.986 

1.33 

2.218 

4.21 

20 

19.78 

—0.134 

7 

917 

13.50 

0+35 

400 

1.878     0.65 

2.199     3.66 

30 

29.75 

+0.783 

4 

912 

12.85 

0 

94 

1868  B. 

1876  B. 

June  9 

8.72 

1.681 

j 

881 

11.63 

0 

151 

19 

18.70 

2.536 

+  2 

824 

9.86 

—  1 

203 

0 

+1.917 

+0.88 

—2.207;—  3.85 

29 

28.67 

3.322 

5 

746 

7.59 

1 

249 

100 

1.7£8 

+0.20 

2.177     3.28 

July  9 

8.64 

4.022 

7 

649 

4.90 

1 

289 

200 

1.662 

—0.48 

2.127     2.69 

J 

300 

1.514 

1.16 

2.061      2.07 

200,          19 

18.61 

4.616 

10 

537 

—  1.84 

1 

322 

400 

1.352 

1.82 

1.977J     1.44 

29 

28.59 

5.091 

12 

413 

+  1.51 

2 

347 

Aug.  8 

7.56 

5.439 

13 

281 

5.08 

2 

365 

1869. 

1877. 

18 
28 

17.53 

27.50 

5.652 

5.728 

14 
15 

144 

+    7 

8.79 
12.56 

2 
2 

375 
378 

0 
100 

+1.408 
1.239 

—1.60 
2.26 

—2.0071-1.65 
.9131     1.01 

Sept.  7 
17 

27 

6.48 
16.45 
26.42 

5.667 
5.473 
5.153 

15 
15 
14 

—128 
260 
381 

16.32 
19.98 
23.47 

2 
1 
1 

372 

359 
338 

200 
300 
400 

1.059 

0.870 
0.674 

2.89 
3.49 
4.0? 

.802 
.6?? 
.537 

—0.36 
+0.30 
0.96 

Oct.    7 

6.40 

4.715 

13 

493 

26.71 

1 

309 

187O. 

1878. 

17 

16.37 

4.170 

12 

593 

29.63 

1 

274 

0 

+0.741 

—3.88 

-  .586 

+0.73 

300,          27 

26.34 

3.534 

10 

678 

32.17 

—  1 

231 

100 

0.541 

4.43 

.43- 

1.39 

Nov.  6 

5.31 

2.821 

8 

745 

34.24 

0 

183 

200 

0.338 

4.94 

.27? 

2.03 

16 

15.29 

2.050 

6 

794 

35.80 

0 

128 

300 

+0.132 

5.41 

.IOC 

2.65 

26 

25.26 

1.240 

+  3 

822 

36.79 

+  1 

70 

400 

—0.075 

5.83 

0.924 

3.26 

Dec.  6 

5.23 

+0.413 

0 

827 

37.19 

+    9 

1871. 

1879. 

16 
26 
36 

15.20 
25.18 
35.15 

-0.406 
1.192 
—1.921 

—  4 
7 
—10 

807 
762 
—692 

36.97 
36.14 
+34.72 

2 

2 

+  2 

—  53 
114 
—170 

0 
100 
200 

—0.006 
0.212 
0.416 

-5.69 
6.08 
6.41 

—0.986 
0.799 
0.605 

+3.06 
3.65 
421 

300 

0.616 

6.69 

0.406 

4.73 

400 

0.810 

6.91 

0.202 

5.22 

1872  B. 

1880  B. 

#•60,                 Feb.  239. 

*  6  Mean  Sun,     Feb.  27.4. 

0 

—0.745—6.84 

—0.271  +5.06 

#  8  Mean  Sun,    Aug.  29.0. 

100 

0.9341    7.02 

—0.066 

5.52 

200 

1.116 

7.  If: 

-fO.141 

5.94 

300 

1.287 

7.21 

0.347 

6.30 

400—1.448+7.21 

-f0.650+6.C2 

SPECIAL  TABLES. 


239 


TABLE  XXIV.-£Pegasi. 

h    m                                                 °      ' 

R.A.  22  35.0.                       Dec.  +  JO    9. 

Upper  transit  at  fictitious  meridian. 

.A0a 

*o« 

Side- 
j  real 
Day. 

A£3a 

*tf 

AQ« 

AQd 

Sidereal  Dciy. 

1870. 

Var.in 
10  y. 

Diff.  for 

10  d. 

1870. 

Var.in 

10  y. 

Diff.  for 
10  d. 

1865. 

8                     " 

1873. 

8 

0 

+0.699 

+6.56 

—  0.94C 

—7.17 

100 

0.625 

6.24 

0.898 

7.12 

1 

// 

200 

0.545 

5.86 

0.84b 

7.00 

0,  Jan.   0 

0.16 

—0.669 

+  2 

—  83 

+  2.04 

+  2 

—105 

300 

0.460 

5.43 

0.792 

6.83 

10 

10.14 

0.743 

2 

64 

+  0.95 

2 

113 

400 

0.371 

4.96 

0.729 

6.60 

20 

20.11 

0.797 

2 

41 

—  0.21 

2 

117 

30 

30.08 

0.825 

1 

—  16 

1.38 

2 

115 

186«. 

1874. 

Feb.    9 

9.05 

0.828 

+  1 

+  12 

2.49 

2 

106 

0 

+0.401 

+5.12 

—0.751 

-6.68 

19 
Mar.    1 
11 
21 

19.03 
1.00 
10.97 
20.94 

0.801 
0.742 
0.650 
0.523 

0 
—  1 

1 
2 

43 
75 
109 
145 

3.49 
4.34 
4.96 
5.32 

1 

+  l 

93 
74 
50 
—  21 

100 
200 
300 
400 

0.310 
0.216 
0.120 
0.023 

4.62 
4.07 
3.49 

2.8t 

0.684 
0.6K 
0.535 
0.454 

6.42 
6.10 
5.74 
5.33 

31 

30.92 

0.360 

2 

180 

5.37 

0 

+  H 

1867. 

1875. 

100,  Apr.  10 
20 

9.89 
19.86 

—0.164 
+0.066 

2 
2 

213 

245 

5.10 
4.49 

0 
0 

44 

78 

0 
100 

+0.056 
—0.041 

+3.08 
2.45 

—0.481 
0.397 

-5.47 

5.03 

30 

29.84 

0.325 

2 

271 

3.55 

—  1 

111 

200 

0.138 

1.80 

0.310 

4.55 

May  10 

9.81 

0.607 

3 

292 

2.29 

1 

141 

300 

0.234 

1.14 

0.221 

4.03 

20 

19.78 

0.907 

3 

308 

—  0.75 

1 

16? 

400 

0.3->7 

0.46 

0.129 

3.47 

30 

29.75 

1.220 

3 

315 

H-  1.03 

1 

189 

1868  B. 

1876  B. 

June  9 

8.73 

1.534 

3 

313 

3.01 

1 

206 

19 

18.70 

1.843 

2 

305 

5.13 

2 

217 

C 

-0.295 

+0.69 

—0.160 

—3.66 

29 

28.67 

2.141 

2 

289 

7.33 

2 

222 

100 

0.387 

+0.01 

—0.068 

3.09 

July  9 

8.64 

2.418 

2 

264 

9.C6 

2 

222 

200 
300 

0.475 
0.558 

—0.6? 
1.34 

+0.024 
0.11? 

2.49 

1.87 

200,           19 

18.62 

2.667 

2 

234 

11.75 

1 

216 

400 

0.637 

2.00 

0.209 

1.24 

29 

28.59 

2.884 

1 

198 

13.86 

1 

206 

Aug.  8 

7.56 

3.061 

—  1 

157 

15.86 

__  j 

191 

1869. 

1877. 

18 
28 

1753 
27.51 

3.197 
3.291 

0 
0 

115 
73 

17.68 
19.32 

0 
0 

173 

153  , 

0 
100 

—  0.6111—1.78 
0.686     2.43 

+0.178—1.45 
0.268     O.fcl 

Sept.  7 
17 

27 

6.48 
16.45 
26.43 

3.343 

3.354 
3.329 

+  1 

1 
2 

±3^ 

41 

20.74 
21.93 
22.89 

0 
0 
H-  l 

131 
107 

83  ! 

200 
300 
400 

0.755     3.05 
0.8J7[    3.64 
0.872;    4.20 

0.357—0.16 
0.443+0.50 
O.C25     1.15 

Oct.    7 

6.40 

3.273 

2 

72 

23.60 

2 

59 

1870. 

1878. 

17 

16.37 

3.187 

2 

96 

24.07 

2 

35 

0 

—0.854:—  4.02 

+0.498+0.93 

300,          27 

26.34 

3.083 

3 

112 

24.31 

2 

+  12  ! 

100 

0.904 

4.56 

0.577 

1.57 

Nov.  6 

532 

2.965 

3 

122 

24.32 

2 

—     10    ! 

200 

0.946 

5.05 

0.652 

221 

16 

15.29 

2.841 

3 

127 

24.11 

2 

31  i 

300 

0.979 

5.50, 

0.722 

2.82 

26 

25.26 

2.713 

3 

126 

23.70 

3 

51 

400 

1.004 

5.91  i 

0.786 

3.42 

Dec.   6 

5.S3 

2.591 

3 

119 

23.10 

3 

69  i 

1871. 

1879. 

16 

28 
36 

15.21 
25.18 
35.15 

2.477 
2.374 
+2.2r9 

3 
3 

+  3 

109 
95 
—  76 

22.32 
21.38 

-f20.34 

3 
4 

+  4 

86  ! 
99  i 

—108  i 

C 

100 
20<» 

—0.997—5.78 
1.016     6.  1C 
1.027J    6.46 

+0  765 
0.825 

0.878 

+3.22 
3.80 
4.34 

300 

1.029     672 

0  924 

4.86 

400 

1.022!    6.92 

0^962 

5^33 

1 

1872  B. 

1880  B. 

*  6  0,                 Feb.  25.2. 

#  6  Mean  Sun,     Feb.  28.6. 

0 

—1.026-  6.86 

+0.900+5.17 

100 

1.013     7.03 

0.983S    5.62  i 

j 

200 

0.992     7.13j 

1.008 

6.C2 

300 

0.963     7.18 

1.024 

6.36 

400—  0.926—  7.16! 

jj 

+  1.032+15.66 

240 


SPECIAL  TABLES. 


TABLE  XXIV.—  *  i  Cephei. 

h    m                                                       o       ' 

R.A.  22  45.1.                       Dec.  +  65  31. 

Upper  transit  at  fictitious  meridian. 

AQa 

A0<J 

Side- 
real 

A^fl 

Arjc5 

Ar^a 

AQ^ 

Day.' 

O*1              1    T*o 

It'll  11  DflV. 

oluClCal  \J**y» 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

187O. 

Vnr.  iu 
10  y. 

Diff  for 
10  d. 

1865. 

a              " 

1873. 

8                     " 

0 

+1.475+6.31 

-  .256 

—7.08 

100 

1.485 

5.lJb 

.319 

699 

H 

// 

200 

1.483 

5.  56 

.371 

6.84 

0,  Jan.   0 

0.17 

—1.451 

f  8 

-399 

4-16.13 

+  2 

—144 

300 

1.467 

5.11 

.411 

6.64 

10 

10.14 

1.829 

0 

355 

14.43 

3 

194 

400 

1.438 

4.61 

.440 

6.38 

20 

20.12 

2.156 

i 

297 

12.26 

3 

238 

30 

30.09 

2.419 

2 

227 

9.70 

4 

273 

1866. 

1874. 

Feb.  9 

9.06 

2.606 

4 

146 

6.84 

4 

296 

0 

+1.449+4.78 

—  .431  -6.47 

19 
Mur.  1 
11 
21 

19.03 
1.01 

10.98 
20.95 

2.709 
2.719 
2.634 
2.453 

5 
6 

7 
7 

—  57 
+  37 
133 

228 

3.82 
+  0.74 
—  2.27 

5.08 

4 
4 
3 
3 

307 
306 
293 
267 

100 
200 
300 
400 

1.412 
1.363 

1.30-2 
1.229 

4.26 
3.70 
3.10 
2.46 

.452 
.461 
.458 
1.443 

6  18 
5.84 
5.44  1 
5.01 

31 

30.92 

2.179 

7 

318 

7.58 

3 

231 

1867. 

1875. 

100,  Apr.  10 
20 

9.90 
19.87 

1.820 
1.384 

7 
7 

399 
469 

9.67 
11.28 

2 

2 

187 
135 

0 
100 

+1.255+2.69 
1.175!     2.05 

—  .449 

.426 

—5.16 

4.70  1 

30 

29.84 

0.886 

7 

525 

12.36 

1 

79 

200 

1.086     1.40 

.391 

4.19 

May  10 

9.82 

—0.339 

6 

565 

12.85 

+  1 

—  20 

300 

0.9861     0.73 

.345 

3.66 

20 

19.79 

-fO.239 

5 

589 

12.76 

0 

+  39 

400 

0.878     0.06 

.288 

3.10 

30 

29.76 

0.834 

3 

595 

12.08 

0 

97 

1868  B. 

1876  B. 

June  9 
19 

8.73 
18.71 

1.424 

1.997 

3 

—  2 

584 
558 

10.83 
9.06 

—  1 
1 

152 

202 

0 

+0.915 

+0.29 

—  .308—3.29 

29 

28.68 

2.535 

0 

517 

6.81 

2 

247 

100 

0.802 

—0.35 

.244     2.71 

July  9 

8.65 

3.025 

+  1 

462 

4.14 

2 

286 

20( 
300 

0.682 
0.557 

1.05 
1.71 

.169 

.085 

2.10 

1.48 

200,          19 

18.62 

3.455 

2 

396 

—  1.12 

2 

317 

400 

0.427 

2.35 

0.992 

O.b5 

29 

2860 

3.814 

4 

322 

-f  2.18 

2 

341 

Aug.  8 

7.57 

4.096 

5 

242 

5.68 

3 

358 

1869. 

1877. 

18 

28 

17.54 
27.52 

4.296 
4.411 

6 

7 

158 
+  72 

9.31 
12.99 

3 
3 

366 
368 

( 

10( 

+0.471 
0.33b 

—2.13 

2.76 

-1.024 
0.925 

—1.06 
-0.42 

Sept.  7 
17 
27 

6.49 
16.46 
26.43 

4.441 
4.389 

4.258 

8 
8 
9 

—  11 
92 
168 

16.64 
20.20 
23.58 

3 

2 
4> 

362 
348 
327 

200 
30( 
400 

0.203 
+0.067 
—0.071 

3.36 
3.9:i 
4.47 

0.818 
0.70C 
OCflK 

+0.22 
0.87 
1.51 

Oct.    7 

6.40 

4.055 

9 

238 

26.71 

2 

299 

1870. 

1878. 

17 

16.38 

3.786 

9 

299 

29.53 

1 

264 

0 

-0.024 

—4.29 

—0.626+1.29 

300,          27 

26.35 

3.460 

9 

351 

31.97 

—  1 

223 

100 

0.161 

4.80 

0.503     1.92 

Nov.  6 

5.32 

3.088 

9 

393 

33.96 

0 

175 

200 

0.290 

5.27 

0.3751    2.54 

16 

15.30 

2.679 

9 

423 

35.46 

0 

123 

30( 

0427 

5.69 

0.244     3.14 

26 

25.27 

2.245 

8 

442 

36.41 

+  1 

67 

400 

0.555 

6.06 

0.111!     3.71 

Dec.  6 

5.24 

1.799 

7 

448 

36.79 

2 

+    9 

1871. 

1879. 

16 

26 
36 

15.21 
25.19 
35.16 

1.354 
0.923 
+0.520 

6 
5 
+  4 

441 

419 

—384 

36.57 
35.77 
+34.41 

2 
2 
+  3 

—  51 

109 
—163 

0 
100 
200 

—0.512—5.94 
0.637'i    6.28 
0.756     6.56 

—0.156+3.52 
—0.021;    4.07 
+0.114i     4.60 

300 

0.868     6.7H 

•0.248     5.08 

400 

0.973     6.95 

0^381      5^52 

1872  B. 

188O  B. 

#60,                 Feb.  27.9. 

>jc  6  Mean  Sun,     Mar.    3.2. 

1 

—0.93? 

—6.90 

+0.3361+5.38 

:j<  8  Mean  Sun,    Sept.    1.9. 

IOC 

1.037 

7.03 

0.467     5.79 

20C 

1.127 

7.10 

0.595 

6.16 

i  300 

1.208     7.10 

0.717 

6.47 

i  4001—1.2781—  7.  05  +0.835+6.73 

SPECIAL  TABLES. 


241 


TABLE  XXIV.-A  Aquarii. 

h    ra                                                      o       ' 

R.A.  22  45.8.                       Dec.  —    8  1G. 

Upper  transit  at  fictitious  meridian. 

Aoa 

A0d 

Side- 
real    A^a 

A^d 

Aa«    Aad 

Day. 

0 

j 

Sidereal  Dav 

"YfpoTi'Dav 

1870. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1870.    V«.to 

Diff.  for 

10  d. 

1865. 

8                    " 

1873. 

8                    " 

0  +0.578 

+6.30 

—0.893—7.07 

100     0.490 

5.94 

0.834 

6.98 

a 

// 

200 

0.397 

5.54 

0.768 

6.83 

0,Jan.    0 

0.17 

—0.618 

4-  3 

—  81 

-  3.66 

+  1 

-  50 

300 

0.301 

5.09 

0.696 

6.62 

10 

10.14 

0.690 

2 

63 

4.12 

41 

400 

0.202 

4.59 

0.6  !fc 

6.36 

20 

20.12 

0.743 

2 

41 

4.47 

1 

29 

30 

30.09 

0.772 

2 

—  16 

4.70 

1 

—  15 

1866. 

1874. 

Feb.    9 

9.06 

0.775 

1 

+    9 

4.77 

+  1 

+     1 

0 

+0.235 

_j_4.76  —0.645—  6.45 

J9 
Mar.    1 
11 
21 

19.03 
1.01 
10.98 
20.95 

0.753 

0.700 
0.615 
0.495 

1  + 

>-  OOM 

37 

69 
102 
136 

4.68 
4.37 
3.86 
3.12 

0 
0 
0 

—  1 

20 
41 
63 

85 

100 
200 
300 
400 

0.135 
+0.034 
—0.068 
0.169 

4.2:3 
3.67 
3.08 
2.45 

0.564 
0.479 
0.390 
0.297 

6.16 
5.81 
5.42 
4.98 

31 

30.92 

0.342 

1 

171 

2.15 

1 

108 

1867. 

1875. 

100,  Apr.  10 
20 

9.90 

19.87 

—0.154 

+0.068 

2 
2 

206 
237 

—  0.95 
+  0.46 

1 
1 

131 
151 

0 

100 

—  0.135+3.66 
0.236     2.03 

—0.329!—  5.14 
0.235!     4.67 

30 

29.84 

0.318 

2 

264 

2.06 

2 

168 

200 

0.334     1.37      0.139     4.17 

May  10 

9.82 

0.594 

2 

289 

3.81 

2 

182 

300 

0.429     0.71  1—0.042     3.63 

20 

19.79 

0.893 

3 

306 

5.68 

1 

191 

400 

0.520|     0.04!j+0.055j     3.07 

30 

29.76 

1.203 

3 

314 

7.62 

1 

196 

1868  B. 

1876  B. 

Juue  9 

8.73 

1.519 

3 

318 

9.58 

1 

194 

19 

18.71 

1.8:36 

3 

313 

11.49 

—  1 

189 

0 

-0.490 

+0.26+0.022 

-3.26 

29 

28.68 

2.142 

3 

297 

13.34 

0 

179 

100 

0.578 

—0.411     0.119 

2.68 

July  9 

8.65 

2.428 

3 

275 

15.05 

0 

162 

200 

0661 

uoe 

0.215 

2.08 

300 

0.739 

1.73 

0.309 

1.45 

200,          19 

18.62 

2.  600 

3 

248 

16.57 

0 

142 

400 

0.809 

2.37 

0.401 

0.82  i 

29 

28.60 

2.922 

2 

213 

17.89 

0 

121 

Aug.  8 

7.57 

3.115 

2 

174 

18.98 

0 

97 

1869. 

1877. 

18 
28 

Sept.  7 
17 
27 

17.54 
27.51 

6.49 
16.46 
26.43 

3.289 
3.379 

3.447 
3.474 
3  463 

2 
1 

—  1 
0 
0 

132 

89 

47 
+    7 
—  29 

19.83 
20.41 

20.76 

20.88 
20.78 

+  1 

1 

2 
2 

71 
46 

23 

+     1 
—  20 

0 
100 
200 
300 
400 

-0.786-2.16 
0.852     2.79 
0.91  IS*  3.39 
0.961     3.9(5 
L003J    4.49 

+0.370 
0.460 
0.546 
0.627 
0,704 

—1.03 
—0.39  i 
+0.26  ! 
0.90 
1.54 

Oct.    7 

6.41 

3.417 

+  1 

60 

20.50 

3 

36 

187O. 

1878. 

17 

16.38 

3.344 

1 

86 

20.08 

4 

48 

0 

_0.990!—  4.32  +0.679 

+  1.33 

;  300,          27 

26.35 

3.248 

2 

105 

1956 

4 

58 

100 

1.026 

4.82'     0.752 

1.96 

Nov.   6 

5.32 

3.1:37 

2 

116 

18.94 

3 

65 

200 

1.053 

5.-J9      0.819 

2.57 

16 

15.30 

3.018 

2 

122 

18.28 

3 

67 

3GU 

1.071 

5.70 

0.879 

3.17 

26 

25.27 

2.895 

3 

121 

17.61 

3 

67 

400 

1.080 

6.07 

0.932 

3.74 

Dec.   6 

5.24 

2.777 

3 

114 

16.94 

3 

65 

1871. 

1879. 

16 
26 
36 

15.21 
25.19 
35.16 

2.667 
2.567 
+2.464 

3 
3 

+  3 

105 
92 
—  74 

16.31 
15.73 

+15.22 

3 
2 

+  2 

61 
55 
—  47 

0 
100 
200 

—  .078 
.081 
.074 

—5.95 
6.29 
6.56 

+0.915 
0.963 
1.003 

+3.55 
4.10 
4.62 

; 

300 

.059 

6.79  ;     1.0:55 

5.10 

400 

.035 

6.95!     1.059 

5.54 

|| 

1872  B.                188O  B. 

*  6  0,                 Feb.  28.1. 

• 

;j<  6  Mean  Sun,    Mar.    3.4. 

0 

—  1.044J—  6.90  +1.052+5.40 

100 

1.013]    7.03      1.069 

5.81 

200 

0.975     7.09      1.078 

6.17 

300     0.928]    7.10      1.077 

6.48 

400  —0.874,—  7.05  +1.067 

+6.74 

• 

16 


242 


SPECIAL  TABLES. 


TABLE  XXIV.-*  o  Cephei. 

h    m                                                     °      ' 

R.A.  23  13.3.                       Dec.  +  67  24. 

Upper  transit  at  fictitious  meridian. 

Ana 

AQ6 

Side- 
real 

A«° 

AQ(5 

A^a 

AQ(J 

, 

w 

Day. 

187O. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                      " 

1873. 

8                    " 

0 

+1.671 

+5.56 

—  .424 

—6.74 

100 

1.682 

5.13 

.495 

6.55 

s 

// 

200 

1.679 

4.66 

.554     6.31 

0,  Jan.  0 

0.19 

—1.164 

+  4 

—457 

+17.31 

+  2 

—104 

300 

1.661 

4.15 

.600     6.02 

10 

10.16 

1.605 

+  2 

422 

15.99 

3 

159 

400 

1.628 

3.60 

.632     5.68 

20 

20.14 

2.002 

0 

371 

14.16 

3 

208 

30 

30.11 

2.340 

—  1 

304 

11.87 

4 

248 

1866. 

1874. 

Feb.   9 

9.08 

2.606 

3 

224 

9.22 

4 

279 

0 

+1.641 

+3.79 

—  .622 

-5.80 

19 
Mar.   1 
11 
21 

19.05 
1.03 
11.00 
20.97 

2.785 
2.8(58 
2.849 
2.725 

4 

6 

7 
8 

133 
—  33 
+  72 
177 

6.33 
3.31 

+  0.28 
—  2.63 

4 
4 
4 
4 

298 
305 
299 

281 

100 
200 
300 
400 

1.598 
1.542 
1.47:; 
1.390 

3.22 
2.62 
2.00 
1.36 

.64(5 
.655 
.651 
.634 

5.43 
5.02 
4.56 
4.07 

31 

30.94 

2.497 

8 

279 

5.31 

3 

252 

1867. 

1875. 

100,  Apr.  10 
20 

9.92 

19.89 

2.169 
1.753 

8 
8 

374 

458 

7.64 
9.55 

3 
3 

213 
167 

0 
100 

+1.419 
1.329 

+1.58 
0.93 

—1.641 
1.6  j  5 

-4.24 

3.72 

30 

29.86 

1.258 

8 

528 

10.95 

2 

114 

200 

1.227 

+0.27 

1.575 

3.18 

May  10 

9.84 

0.701 

7 

583 

11.82 

1 

—  58 

300 

1.114 

—0.38 

1.522 

2.61 

20 

19.81 

—0.098 

6 

620 

12.11 

+  1 

0 

400 

0.991 

1.04 

1.457 

2.02 

30 

29.78 

+0.532 

5 

638 

11.81 

0 

+  58 

1868  B. 

1876  B. 

June  9 
19 

8.75 
18.73 

1.172 

1.804 

4 
2 

639 
622 

10.95 
9.54 

—  1 

1 

114 

167 

0 

+1.0341—0.82 

—1.480 

—2.22 

29 
July    9 

28.70 
8.67 

2.410 
2.974 

—  1 

+  1 

587 
539 

7.62 
5.25 

2 
2 

215 

258 

100 
200 
300 

0.906 
0.770 
0.627 

1.47 
2.10 

2.72 

1.407 
1.322 
1  .22(5 

1.62 

1.00 
—0.37 

200,          19 

18.64 

3.483 

2 

477 

—  2.48 

3 

294 

400 

0.480 

3.30 

1.120 

+0.26 

29 

2862 

3.924 

4 

405 

+  0.62 

3 

324 

Aug.  8 

7.59 

4.290 

5 

326 

3.98 

3 

346 

1869. 

1877. 

18 
28 

17.53 
27.54 

4.574 

4.770 

7 
8 

240 
152 

7.52 
11.17 

3 
3 

361 
368 

0 
100 

+0.530 
0.380 

—3.11 
3.68 

—1.157 

1.045 

+0.04 
0.67 

200 

0.229 

4.22 

0.924 

1.29 

Sept.  7 
17 

6.51 
16.48 

4.878 
4.897 

9 
10 

+  64 
—  23 

14.86 
18.51 

3 

3 

368 
361 

300 
400 

+0.072 
—0.084 

4.71 
5.17 

0.795 
0.659 

1.91 
2.51 

27 

26.45 

4.831 

11 

108 

22.05 

3 

345 

Oct.    7 

6.42 

4.684 

12 

186 

25.39 

3 

323 

1870. 

1878. 

17 

16.40 

4.461 

12 

258 

28.48 

2 

293 

0 

—0.031 

—5.02 

—0.706 

+2.31 

300,          27 

26.37 

4.170 

12 

322 

31.23 

2 

256 

100 

0.186 

5.45 

0.566 

2.90 

Nov.  6 

5.34 

3.820 

12 

377 

33.57 

1 

213 

200 

0.338 

5.83 

0.421 

3.46 

16 

15.32 

3.420 

12 

421 

35.46 

—  1 

163 

300 

0.488 

6.15 

0.272 

4.00 

26 

25.29 

2.981 

12 

454 

36.83 

0 

109 

400 

0.632 

6.43 

0.121 

4.50 

Dec.  6 

5.26 

2.517 

11 

474 

37.63 

+  1 

+  52 

1871. 

1879. 

16 
26 
36 

1523 
25.21 
35.18 

2.039 
1.562 
+1.103 

10 
9 

+  7 

480 
471 
—446 

37.85 
37.47 
+36.51 

2 

2 
+  3 

—    8 
68 
—125 

0 
100 
200 

—0.584 
0.725 

0.860 

—6.34 
6.58 
6.76 

—0.173 
—0.020 
+0.133 

+4.34 

4.82 
5.26 

300 

0.987 

6.88 

0.285 

5.66 

400 

1.105 

6.94 

0.435 

6.01 

1872  B. 

1880  B. 

*  6  0,                  Mar.    7.5. 

*  6  Mean  Sun,     Mar.  10.3. 

0 

—1.06(5 

—6.93 

+0.385 

+5.90 

>fc  8  Mean  Sun,     Sept.    9.0. 

100 
200 

1.178 

1.280 

6.96 
6.92 

0.633 

0.678 

6.22 
6.49 

300 

1.370 

6.83 

0.817 

6.71 

400 

—1.450 

—6.68 

1 

+0.949 

+6.86 

SPECIAL  TABLES. 


243 


TABLE  IXIV.-0  Piscium. 

h    m                                                      o      / 

K.A.  23  21.4.                       Dec.  +    5  40. 

Upper  transit  at  fictitious  meridian. 

A0a 

A    d 

Side- 
real 

AQa 

AQ(J 

AQa 

AQd 

'Day. 

o:  ipi-iaol  T)lV 

Me  fin  D  8  y. 

1«*ft     Var.  in  Diff.  for 

1«?n      Var.  in  Diff.  for 

1865. 

1873. 

A^rf  W. 

10  y.       10  d. 

a^rf  v. 

10}-.       10  d. 

8 

" 

8                      " 

i 

0 

+0.678+5.3'.' 

—0.938 

—6.62 

100 

0.599 

4.8b 

0.89* 

6.41  i 

S 

// 

200 

0.516 

4.40 

0.838 

6.14  i 

O.Jun.    0 

0.19 

—0.413 

+  3 

—100 

+  0.74 

+  2 

—  83 

300 

0.428 

3.87 

0.777 

5.83 

10 

10.17 

0.507 

3 

86 

—  0.10 

2 

85 

400 

0.335|    3.31 

0.711 

5.47 

20 

20.14 

0.587 

2 

71 

0.95 

2 

86 

30 

30.11 

0.648 

2 

52 

1.80 

2 

82 

1866. 

1874. 

Feb.   9 

9.09 

0.690 

1 

29 

2.58 

2 

73 

0 

+0.367J+3.5C 

—0.734  —5.59 

19 
Mar.   1 
11 
21 

1906 
1.03 

11.00 
20.98 

0.706 
0.602 
0.648 
0.567 

+  1 
0 
0 
0 

—    1 

+  29 
62 
99 

3.24 
3.75 
4.07 
4.15 

2 
1 

+  1 
0 

60 
43 
—  21 

-f    5 

100 

200 
300 

400 

0.273 
0.176 
+0.078 
—0.021 

2.9k' 
2.31 
1.68 
1.04 

0663 
0.587 
0.506 
0.422 

5.20 
4.77 
4.30 
3.79  | 

31 

30.95 

0.449 

—  1 

137 

3.97 

0 

32 

1867. 

1875. 

1  00,  Apr.  10 
20 
30 

9.92 

19.89 
29.87 

0.293 
-0.  102 
+0.125 

1 

2 
2 

174 

210 
243 

3.51 
2.75 
1.71 

0 
0 
0 

61 
90 
118 

0 
100 
200 

+0.012+1.25 

—0.087  +0.60 
0.185—0.05 

—0.451 
0.364 
0.274 

—3.96 
3.44 

2.SS 

May  10 

9.84 

0.382 

2 

270 

-  0.39 

— 

144 

300 

0.281 

0.70 

0.181 

2.30 

20 

19.81 

0.664 

2 

293 

+  1.17 

167 

400 

0.375 

1.35 

0.088 

1.70 

30 

29.79 

0.966 

3 

308 

2.94 

185 

1868  B. 

1876  JB. 

June  9 

8.76 

1.277 

3 

315 

4.85 

199 

19 

18.73 

1.593 

3 

314 

6.92 

208 

0 

-0.344—  1.13 

—  0.12C 

—1.91 

29 

28.70 

1.903 

2 

305 

9.02 

2 

211 

100 

0.435 

1.77 

—0.025 

1.30 

July  9 

8.68 

2.200 

2 

288 

11.12 

2 

208 

200 
300 

0.523 
0.606 

2.39 
2.99 

+0.069 
0.163 

0.68 
—0,06 

200,          19 

18.G5 

2.477 

2 

264 

13.17 

2 

201 

400 

0.683 

3.57 

0.255 

+0.57 

29 

28.62 

2.726 

1 

233 

15.12 

1 

187 

Aug.  8 

7.59 

2.941 

1 

198 

16.90 

1 

171 

1869. 

1877. 

18 
28 

17.57 
27.54 

3.121 
3.261 

1 

—  1 

160 
120 

18.53 
19.96 

—  1 

0 

153 
132 

(i 
100 

—0.658—3.38 
0.731     3.93 

+0.224 
0.315 

+0.37 
0.99 

Sept.  7 
17 

27 

6.51 
16.48 
26.46 

3.360 
3.4:>1 
3.443 

0 

+  1 

80 
41 
+    4 

21.17 
22.13 

22.87 

0 
0 
+  1 

'   109 
85 
62 

200 
300 
400 

0.799 
0.858 
0.911 

4.45 
4.9* 
5.35 

0.404 
0.490 
0.572 

1.60 
2.21 
2.79 

Oct.    7 

6.43 

3.430 

2—29 

23.38 

1         39 

1S7O.                   1S7K. 

17 

300,          27 

16.40 
26.38 

3.387 
3.322 

2         55 

2  ]      77 

23.67 
23.76 

1   +  19 
2   —    1 

0 
100 

—0.894 
0.941 

-5.22] 
5.62! 

+0.545!+2.60 
0.624     3.17 

Nov.  6 

5.35 

3.235 

3         95 

23.66 

2         19 

200 

0.980 

5.97: 

0.697 

3.72 

16 

15.32 

3.134 

3       105 

23.39 

2         35 

300 

1.010 

6.27 

0.766 

4.24 

26 

2529 

3.026 

3       111 

22.97 

2         49 

400 

1.032 

6.52      0.828 

4.72 

Dec.   6 

5.27 

2.913 

4       113 

22.41 

2  !      61 

i 

1871.                  1879. 

16 
26 
36 

15.24 
25.21 

35.18 

2.801 
2.692 
+2.591 

3       111 

3       106 

+  3—96 

21.75 
21.00 
+20.17 

3         71 
3        79 

+  3—85 

C 
100 
200 

—1.026 
1.042 

1.048 

—6.44 

6.65 
6.80 

+0.808 
0.865 
0.916 

+4.56 
5.02 
544 

300 

1.046 

6.89 

0.959 

5  yj 

400 

L036 

6.92 

0^994 

6.14 

1872B. 

1880  B. 

-X-  d  0,                 Mar.    9  7. 

5|c  c5  Mean  Sun,     Mar.  12.4. 

C 

—1.040—6.92  +0.983+6.03  i 

100 

1.023 

6.92      1.013     6  33 

200 

0.998 

6.85JI     1.034     6.57 

300 

0.965 

6.731      1.047      6.75 

400  —  0.923J—  6.56'  +1.051  +6.88  i 

2-M 


SPECIAL  TABLES. 


TABLE  XXIV.—  t  Piscium. 

h    m                                                     °      ' 

R.A.  23  33.3.                        Dec.  +    4  55. 

Upper  transit  at  fictitious  meridian. 

A    a 

6   j 

Side- 
real 

A^a 

AQ(J 

AQa 

AQrf 

Day. 

1870. 

fir.  in 
lOy. 

Diff.  for 
10  d. 

1870. 

rar.in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                  " 

1873. 

8                      " 

0 

+0.674! 

+4.9? 

—0.937 

—6.43 

100 

0.595 

4.50 

0.890 

6.18 

H 

// 

200 

0.510 

3.99 

0.836 

5.88 

0,Jan.    0 

0.20 

—0.345 

-  3 

—102 

+  0.49 

+  2 

-  80 

300 

0.422 

3.44 

0.774 

5.53 

10 

10.18 

0.442 

3 

92 

—  0.32 

2 

82 

400 

0.329 

2.86 

0.70? 

5.14 

20 

20.15 

0.527 

2 

78 

1.14 

2 

82 

30 

30.12 

0.596 

2 

60 

1.94 

2 

77 

1866. 

1871. 

Feb.    9 

9.09 

0.646 

2 

38 

2.66 

2 

68 

0 

+0.3POI+3.05 

—0.730 

—5.28 

19 
Mar.   1 
11 
21 

19.07 
1.04 
11.01 

20.98 

0.671 

0.670 
0.634 
0.565 

1 

0 
—  1 

—  13 

+  18 
52 

87 

3.28 
3.75 

4.03 

408 

1 
1 
1 

+  1 

55 
38 
—  17 
+    8 

100 
200 
300 
400 

0.266 
0.169 
+0.070 
—0.029 

2.4b 
1.84 
1.20 
0.56 

0.659 
0.582 
0.501 
0.416 

4.85 
4.39 
3.89 
3.37 

31 

30.96 

0.459 

1 

126 

3.86 

0 

35 

1867. 

1875. 

100,  Apr.  10 

9.93 

0.313 

1 

164 

3.37 

0 

62 

0 

+0.005 

+0.7? 

—0.445 

—3.55 

20 

19.90 

—0.131 

2 

201 

2.61 

— 

91 

100 

—0.095 

+0.1-2 

0.357 

3.00 

30 

29.88 

+0.069 

2 

236 

1.55 

119 

200 

0.193 

—0.53 

026? 

2.43 

May  10 

9.85 

0.339 

3 

265 

—  024 

144 

300 

0.281s      1.1? 

0.174 

1.84 

20 

19.82 

0.617 

3 

289 

+  1.33 

166 

400 

0.3831     1.81 

0.061 

1.24 

30 

29.79 

0.915 

3 

305 

3.09 

184 

1868  K. 

1876  B. 

June  9 
19 
29 
July   9 

8.77 

18.74 
28.71 
8.68 

1.225 
1  542 

1.856 
2.158 

3 
3 

2 
2 

315 
317 

309 
294 

5.00 
7.02 
9.C9 
11.17 

2 
2 

197 
205 
208 
205 

0 
100 

!  200 
•  300 

—0.351 

0.443 
0.531 
0.614 

—1.60 

2.22 
2.82 
3.40 

—0.112 
—0.018 
+0.07? 
0.171 

—1.44 

0.83 
—0.21 
+0.41 

200,          19 

18.66 

2.441 

2 

271 

13.18 

1 

197 

401 

0.191 

3.95 

0.263 

1.03 

29 
Aug.  8 

28.63 
7.60 

2.  098 
2.924 

2 
2 

242 

209 

15.09 
16.86 

1 

185 

169 

1869. 

1877. 

18 
28 

17.58 
27.55 

3.116 

3.267 

1 

1 

172 

132 

18.45 
19.83 

0 

149 
127 

0 

!  100 

-0.666 
0.73S 

—3.7? 
4.3C 

+0.232 
0.3^4 

+0.83 
1.44 

i  20C 

O.ttflf 

4.78 

0.412 

2.05 

Sept.  7 

6.52 

3.379 

—  1 

93 

20.98 

0 

103 

i  301 

O.htiGj    5.22 

2.63 

17 

16.49 

3.453 

0 

54 

21.89 

0 

80 

400 

0.9171    5.6. 

o'.Sbt 

3.20 

27 

26.47 

3.487 

+  1 

+  17 

22.59 

0 

57 

Oct.    7 

6.44 

3.488 

1 

—  16 

23.04 

+  1 

34 

1870. 

1878. 

17 

16.41 

3.457 

1 

44 

23.28 

1 

+  13 

0 

_0  900—5.41 

+0.5^1+3.01 

300,          27 

26.38 

3.402 

2 

66 

23.31 

1 

—    5 

10(j 

0.94?     5.86 

0.631 

356 

Nov.  6 

5.36 

3.326 

2 

85 

23.18 

1 

22 

20  ( 

0.9851    6.1? 

0.7U5|     4.08 

16 

15.33 

3.233 

3 

98 

22.88 

1 

37 

1  301 

1.015!    6.4:J 

0.77: 

4.57 

26 

25.30 

3131 

3 

106 

22.44 

2 

50 

40C 

l.(W6[    6.6,, 

0.835J     5.02 

Dec.   6 

5.27 

3.023 

4 

110 

21.88 

2 

62 

1871. 

1879. 

16 
26 
36 

15.25 
25.22 
35.19 

2.913 

2.8U4 
+2.702 

4 
4 

+  3 

110 
106 

—  98 

21.20 

2046 
+19.67 

2 
2 

71 

77 
—  81 

KX 

20C 

—  l.OSf 
1.0-1;" 
1.C5 

)!—  6.5? 
>     6.73 
6.84 

+0.8141+4.88 
0.872     5.30 
0.922     5.68 

I 

30( 

1.04i 

)     6.89 

0  964     6.02 

40( 

1.037J    6.88 

0.999|    6.31 

J872B. 

1880  B. 

*  6  ©,                  Mar.  12.9. 
4c  6  Mean  Sun,     Mar.  15.4. 

( 

—1.042—6.89 

!+0.985|+6.22 

10' 

j.ttfc 

11     6.84 

1.013 

r      6.47 

2U 
3(H 

0.998]    6.74 

0.964     6.5S 

1.038]    6.67 
1.050J    6.8f 

400—0.922—6.36+1.053+6.89 

1 

' 

SPECIAL  TABLES. 


245 


TABLE  XXIV.-*  7  Cephei. 

h    m                                                    o 

R.A.  23  34.0.                       Dec.  +  76  54. 

Upper  transit  at  fictitious  meridian. 

AQa 

' 

Aod 

Side- 
real 

A^a 

Aad 

AQa 

AQ<5 

. 

Day. 

oiucrt&l  Day. 

.Menu  L/sy. 

187O. 

Var.  in 
10  y. 

Diff.  for 
]0d. 

1870. 

Var.  in 
10  y. 

Diff.  for 
10  d. 

1865. 

8                     " 

1873. 

s            "       ; 

0 

+2.626  +4.95 

—1.997 

—6.42  : 

100 

2.698     4.47 

2.160 

6.17 

s 

// 

200 

2.74> 

2.304 

5.87 

0,  Jan.    0 

+  0.20 

—1.467 

+  4 

—869 

+19.03 

+  2 

—  59 

300 

2.773     3.41 

2.429 

5.51 

10 

10.18 

2.316 

0 

823 

18.14 

2 

119  il  400 

2.775!    2.62 

2.533 

5.12 

20 

20.15 

3.104 

—  4 

748 

16.66 

3 

175 

30 

30.12 

3.801 

9 

642 

14.66 

3 

224 

18< 

M. 

1874. 

Feb.    9 

9.10 

4.379 

13 

511 

12.21 

4 

263         Q 

+2.777 

+3.0-2 

—2.501 

'—5.26 

19 
Mar.    1 
11 
21 

19.07 
1.04 
11.01 
20.99 

4.815 
5.088 
5.186 
5.102 

16 
20 
22 
23 

357 

187 

+175 

9.43 
6.42 
3.30 

+  0.22 

4 
4 
4 
4 

312      *W 

'    AiUt 

303  j    40° 

2.763 
2724 
2.662 
2.576 

2.43 
l.SU 
1.17 

0.52 

2.591 
2.6oO 
2.707 
2.732 

4.83 
:    4.37 
3..  -7 
3.34 

31 

30.96 

4.837 

24 

353 

-  2.72 

4 

28:5  II         1        1867. 

1875." 

100,  Apr.  10 
20 
30 

9.93 
19.90 

29.88 

4.400 
3.805 
3.071 

24 
23 
21 

519 

668 
794 

5.39 
7.6J 
9.55 

3 
3 
3 

250 
209 
161 

0 
100 

200 

4-2.6081+0.74 
2.507+0.09 
2.384—0.56 

—2.731 
2.741 
2.729 

1—3.52 
2.97 
2.40 

May  10 

9.85 

2.224 

19 

895 

10.89 

2 

107 

300 

2.241      1.20 

2.693 

20 

19.82 

1.291 

16 

967 

11.68 

1 

—  50 

400 

2.0781     1.84 

2.636;     l.-j'j 

30 

29.79 

—0.301 

12 

1008 

11.89 

+  1 

+    9 

1868  B. 

1876  B. 

June  9 
19 

8.77 
18.74 

+0.716 
1.730 

8 
—  4 

1020 
1003 

11.51 

10.56 

0 

__  l 

67 
122 

0 

+2.135 

—1.63 

—2.658—1.41 

29 

28.71 

2.714 

0 

960 

9.07 

1 

175 

100     1.961 

2.S5 

2.586 

U.80 

July   9 

8.68 

3.G41 

+  5 

892 

7.07 

2 

223 

200 
300 

1.769 
1.562 

2.85 
3.43 

2.493—0.18 
2.379+0.44 

SOO,           19 

18.66 

4.491 

9 

803 

4.62 

2 

266 

400 

1.342 

3.98 

2.246 

1.06 

29 

28.63 

5.241 

13 

698 

—  1.77 

3 

303 

Aug.  8 

7.60 

5.878 

17 

575 

+  1.41 

3 

333 

1869. 

1877. 

18 

28 

17.58 
27.55 

6.388 
6.763 

20 
23 

443 

305 

4.86 
8.49 

3 
4 

356 
371 

0 
100 

+1.4*18 

1.190 

—3.80 
4.32 

—2.293 
2.147 

+0.85 
1.47 

Sept.  7 
17 

27 

6.52 
16.49 
26.47 

6.996 
7.086 
7.033 

26 

28 
29 

162 
+  18 
-124 

12.25 
16.04 
19.80 

4 
4 
4 

379 
379 
371 

200 
300 
400 

0.953 
0.708 
0.457 

4.80 
5.24 
5.64 

1.983 
1.802 
1.606 

2.1,7 
2.66 
3.22 

Oct.    7 

6.44 

6.839 

30 

262 

23.44 

3 

356 

IS  70. 

18 

78. 

17 

16.41 

6.511 

30 

393 

26.88 

3 

332 

0 

+0.54-2 

—  5.51 

—1.674 

+3.03  •• 

300,          27 

26.3S 

6.056 

30 

515 

30.05 

3 

300 

100 

0.289 

5.87 

1.460 

3.58 

Nov.   6 

5.36 

5.486 

29 

624 

32.86 

2 

261 

200 

+0.034 

6.18 

1.251 

4.10 

16 

15.33 

4814 

27 

718 

35.25 

2 

215 

300 

—0.221 

6.44 

1.022 

4.59  i 

26 

25.30 

4.056 

25 

795 

37.15 

__  i 

162 

400 

0.474 

6.  54 

0.784 

5.04 

Dec.    6 

5.28 

3.232 

22 

849 

38.49 

0 

105 

1871. 

1879. 

16 
26 
36 

15.25 

25.22 
35.19 

2.365 
1.482 
+0.610 

18 
14 
+  10 

879 

883 
-856 

39.23 
39  35 
+38.84 

+  2 

+  43 
—  19 
—  81 

0 
100 
200 

—0.389J—6.57 
0.638     6.74 
0.882     6.84 

—0.865 
(MS22 

0374 

+4.90 
5.32 

5.70  : 

300 

1.117 

6.89 

0  1'>1 

400 

1.343 

6.87 

+0.134]    6.32  ; 

1872  B. 

1880  R. 

*  6  0,                 Mar.  13.1. 

*  6  Mean  Sun,     Mar.  15.6. 

0 

-1.268 

+0.049 

+6.23 

#  8  Mean  Sun,     Sept.  14.3. 

100 

1.486 

6.83 

0.303 

6.48  ! 

2011 

1.69U 

6.73 

0.555 

6.67  : 

30C 

1.880 

6.rO      0.803 

6.81 

400 

—2.  054—0.  3  4  +1.045 

+6.89 

!                                                                                                              i        ! 

2-16 


SPECIAL  TABLES. 


TABLE  mVi—  *  Groombriclge  4163. 

h    m                                                  °      ' 

E.  A.  23  48.5.                       Dec.  +7341. 

Upper  transit  at  fictitious  meridian. 

AQa 

AQcJ 

Side- 
real 

A^a 

An<5 

AQa 

AQ(J 

, 

Day. 

SiuGrc&l  D&y. 

ilc  m  i  D<iy  . 

1870. 

Var.iu 
10  y. 

Diff.  for 
10  d. 

isro. 

Var.in 
10  y. 

Diff.  for 
10  d. 

1865. 

H                     " 

1873. 

s                " 

0 

+2.285 

+4.50 

—1.866 

—6.17 

100 

2.319 

3.99 

1.981 

5.87 

s 

// 

200 

2.333 

3.45 

2.079 

5.52 

0,  Jan.   0 

0.21 

—0.880 

+  7 

—681 

+18.94 

+  2 

—  45 

300 

2.326 

2.87 

2.159 

5.13 

10 

10.19 

1.550 

5 

655 

18.19 

2 

105 

400 

2.  300 

2.27 

2.221 

4.69 

20 

20.16 

2.181 

+  1 

604 

1685 

3 

161 

30 

30  13 

2.750 

—  2 

529 

14.98 

4 

211 

1866. 

1874. 

Feb.    9 

9.10 

3.233 

5 

432 

12.66 

4 

252 

0 

+2.311 

+2.47 

—2.202 

—4.85 

19 
Mar.   1 
11 
21 

19.08 
1.05 
11.02 

21.00 

3.608 
3.858 
3.970 
3.938 

8 
10 
12 
14 

315 
183 
—  41 

+  106 

9.98 
7.05 
4.01 
+  0.96 

5 
5 
5 
5 

282 
301 
307 
300 

100 
200 
300 
400 

2.271 
2.21  1 
2.132 
2.034 

1.86 
1.23 
+0.58 
—0.07 

2.252 
2.284 
2.296 
2.290 

4.39 
3.89 
3.36 
2.81 

31 

30.97 

3.760 

15 

251 

—  1.96 

4 

282 

1867. 

1875. 

100,  Apr.  10 
20 

9.94 
19.91 

3.438 

2.984 

16 
16 

390 
516 

4.64 

6.98 

4 
3 

253 
214 

0 
100 

+2.069+0.15 
1.959—0.50 

—2.294 

2.275 

—3.00 
2.43 

30 

29.-89 

2.411 

15 

(527 

8.h9 

3 

168 

200 

1.832 

1.14 

2.238 

1.84 

May  10 

9.86 

1.737 

14 

717 

10.31 

2 

116 

300 

1.690 

1.77 

2.182 

1.24 

20 

19.83 

0.985 

12 

784 

11.19 

2 

60 

400 

1.532 

2.40 

2.108 

0.63 

30 

29.80 

-0.177 

10 

828 

11.51 

+  1 

-    3 

1868  B. 

1876  B. 

June  9 
19 

8.78 
18.75 

+0.663 
1.510 

8 
5 

848 
843 

11.24 

10.42 

0 

—  1 

+  55 
110 

0 

+1.587 

-2.18 

—2.135 

-0.83 

29 

28.72 

2.341 

—  2 

816 

9.05 

1 

163 

100 

1.421 

2.79 

2.049 

—0.22 

July  9 

8.70 

3.135 

+  1 

768 

7.17 

2 

212 

200 
300 

1.243 
1.054 

336 
3.91 

.947 

.828 

+0.40 
1.02 

200,           19 

18.67 

3.872 

4 

702 

4.83 

3 

255 

400 

0.856 

4.43 

.695|     1.63 

29 

28.64 

4.535 

7 

621 

—  2.09 

3 

292 

Aug.  8 

7.61 

5.111 

10 

528 

+  0.99 

4 

323 

1869. 

1877. 

18 

28 

17.59 

27.56 

8.587 
5.957 

13 
16 

424 
314 

4.34 
7.90 

4 
4 

347 
363 

0 

100 

+0.924 
0.721 

—4.26 
4.74 

—  .741 

.598 

+1.42 

2.02 

200 

0.512 

5.19 

.441 

2.61 

27 

6.53 
16.50 
26.48 

6.214 
6.356 
6.382 

18 
20 
22 

2CO 
+  84 
—  31 

11.59 
15.33 
19.05 

4 
4 
4 

373 
374 

3(58 

300 
400 

0.301 
0.086 

5.59 
5.94 

.273 
.093 

3]  17 
3.71 

Oct.    7 

6.45 

6.295 

23 

143 

22.67 

4 

354 

1870. 

1878. 

17 

16.42 

6.097 

24 

251 

26.11 

4 

333 

0 

+0.158 

—5.82 

—1.155+3.53 

300,         27 

26.40 

5.796 

25 

351 

29.30 

3 

303 

100 

—0.057 

6.14 

0.068]    4.05 

Nov.  6 

5.37 

5.398 

25 

443 

32.15 

3 

266 

200 

0.271 

6.4U 

0.774 

4.53 

16 

15.34 

4.914 

24 

523 

34.59 

2 

222 

300 

0.482 

6.60 

0.572 

4.99 

26 

25.31 

4.356 

24 

590 

36.56 

1 

171 

400 

0.688 

6.75 

0.365 

5.40 

Dec.   6 

5.29 

3.738 

22 

642 

38.00 

—  1 

115 

1871. 

1879. 

16 

26 
36 

15.26 
25.23 
35.20 

3.078 
2.397 
+1.715 

20 
18 
+15 

674 
686 
—674 

38.86 
39.10 
+38.73 

0 

-  68 

0 
100 
200 

—0.619 
0.822 
1.016 

—6.71 

6.82 

6.87 

—0.436 
0.226 
—0.014 

+5.26 
5.64 
5.98 

300 

1.20$ 

6.86  -1-0.198 

f5  9fi 

400 

1.377 

6.79 

0.410     6.50 

1872  B. 

1880  B. 

*  6  0,                 Mar.  17.1. 

*  6  Mean  Sun,     Mar.  19.3. 

0 

—  .319 

—6.82 

+0.339+6.43 

%  8  Mean  Sun,    Sept.  18.0. 

100 
201 

.487 
.641 

6.72 
6.56 

0.549 
0.756 

6.62 
6.77 

30C 

.782 

6.34 

0.955 

6.86 

400 

—  .907—6.08 

+1.147 

+6.88 

SPECIAL  TABLES. 


247 


TABLE  IXIV.-o  Piscium. 

h    m                                                    of 

E.A.  23  52.6.                       Dec.  +    69. 

Upper  transit  at  fictitious  meridian. 

Aoa 

AQd 

Side- 
real 

A^ 

i 

MeanDa 

\-/ 

Day. 

1870. 

Var.in 

10  y. 

Diff.  for 
10  d. 

187O. 

Var.in 
lOy. 

Diff.  for 
10  d. 

0 

1865. 

8                     " 

+0.686  +4.37 

1873'// 
'—  0*  947  —6.  10 

. 

100 

0.608 

3.85  1    o.yuo 

5.78 

8 

n 

200 

0.524 

3.  30      0.847 

5.42 

0,Jan.    0 

0.22 

—0.232 

4-3 

—108 

+  0.91 

+  2 

—  77 

300 

0.4:35 

2.72      0.786 

5.02 

10 

10.19 

0.337 

3 

101 

+  0.12 

2 

81 

400 

0.343 

2.11 

0.719 

4.57 

20 

20.16 

0.433 

3 

90 

—  0.69 

2 

81 

30 

30.13 

0.516 

3 

76 

1.48 

2 

77 

1866. 

1874. 

Feb.    9 

9.11 

0.583 

2 

56 

2.21 

1 

70 

0 

+0.374 

+2.32 

_0  742—4.73 

19 
Mar.   1 
11 
21 

19.08 
1.05 
11.03 
21.00 

0.626 
0.643 
0.629 
0.580 

2 

0 

31 
—    2 
+  31 

68 

2.86 
3.36 
3.67 
3.78 

1 

1 
1 
+  1 

58 
42 
—  22 

4-    1 

100 
200 
300 
400 

0.280 
0.183 
+0.084 
—0.016 

1.70 
1.06 
+0.42 
—0.23 

0.672 
0.595 
0.515 
0.429 

4.26 
3.75 
322 
2.66  ! 

31 

30.97 

0.492 

—  1 

107 

3.64 

0 

27 

1867. 

1873. 

100,  Apr.  10 

9.94 

0.365 

1 

147 

3.24 

0 

55 

0  +0.018 

—0.01 

—0.459—285 

20 

19.92 

—0.199 

2 

186 

2.54 

0 

83 

lOOi—  0.081 

0.66      0.37J 

2.28 

30 

29.89 

+0.005 

2 

222 

1.57 

—  1 

111 

200 

0.180 

1.301!    0.281 

1.69 

May  10 

9.86 

0.243 

2 

254 

—  0.32 

1 

138 

300 

0.277 

1.93      O.IH8 

1.08 

20 

19.83 

0.511 

3 

280 

+  1.17 

1 

161 

400 

0.372 

2.54 

0.094     0.47 

30 

29.81 

0.801 

3 

300 

2.88 

1 

180 

1868  B. 

1876  B. 

June  9 
19 
29 

8.78 
18.75 
28.73 

1.108 
1.425 
1.741 

3 
3 
2 

313 
318 
313 

4.75 
6.75 

8.82 

2 
2 
2 

194 

204 
209 

0 
100 

—0.340—2.34 
0.433     2.94 

-0.126—0.68 
'—  0.031—  0.06 

July  9 

8.70 

2.048 

2 

301 

10.91 

2 

207 

200 
300 

0.521 
0.605 

3.51  +0.064+0.56 
4.05:     0.158+1.17 

200,          19 

18.67 

2.340 

2 

281 

12.95 

2 

200 

400 

0.683 

4.55 

0.251 

1.78 

29 

28.64 

2.608 

2 

255 

14.91 

2 

190 

Aug.  8 

7.62 

2.848 

1 

224 

16.73 

2 

174 

1869. 

1877. 

18 
28 

17.59 
27.56 

3.054 
3.222 

1 
—  1 

187 
149 

18.38 
19.84 

1 
1 

156 
135 

0 
100 

-0.657 
0.732 

-4.39 

4.86 

+0.220 
0.312 

+1.58 

2.18 

Sept.  7 
17 
27 

6.53 
16.51 

26.48 

3.353 
3.445 

3.500 

0 
0 

+  1 

111 
73 

36 

21.08 
22.07 
22.  a5 

—  1 

0 
0 

112 

88 
65 

200 
300 
400 

0.800 
0.860 
0.913 

5.29 
5.68 
6.01 

i    0.402 
0.488 
0.571 

2.76 
3.31 
3.84 

Oct.    7 

6.45 

3.519 

2 

+    3 

23.39 

4-  3 

43 

187O. 

1878. 

17 

16.42 

3.507 

2 

—  26 

23.72 

22 

0 

—0.896 

—5.91 

+0.543+3.67 

300,          27 

26.40 

3.468 

3 

51 

23.83 

2 

+    2 

100 

0.944 

6.21       0.623     4.18 

Nov.  6 

5.37 

3.407 

3 

72 

23.77 

2 

-  15 

200 

0.984 

6.45      0.698 

4.65 

16 

15.34 

3.326 

3 

88 

23.54 

2 

31 

300 

1.015 

6.64 

0.767 

5.09 

26 

25.32 

3.233 

3 

98 

23.16 

2 

45 

400 

1.037 

6.7d 

0.830 

5.49 

Dec.   6 

5.29 

3.131 

4 

106 

22.65 

2 

56 

1871. 

1879. 

16 
26 
36 

15.26 
25.23 
35.21 

3.022 
2.912 
+2.804 

4 
4 
+  4 

110 
110 

—105 

22.04 
21.32 
+20.56 

2 
2 

4-  2 

67 
74 

—  78 

0 
100 
200 

—1.031'—  6.74 
1.047!    6.83 
1.055     6.87 

+0.809+5.36 
:    0.868|    5.73 
1    0.919     6.05 

30U     1.0531     6.85!    0.963 

6.33 

400J     1.043|    6.76,i    0.999 

' 

6.55 

1872  B.                188 

!>B. 

*  6  0,                 Mar.  18.2. 

*  6  Mean  Sun,    Mar.  20.3. 

0—1.047 

—6.80+0.988+6.48 

100     1.031 

6.68i     1.018 

6.66 

200 

1.006 

6.51       1.040 

6.79 

. 

300     0.973 

6.23      1.053 

6.86 

400—0.932—6.00  +1.  057  +6.87 

1                                                   { 

248 


SPECIAL  TABLES. 


TABLE  XXV. 

TABLE  XXVI. 

Motion  of  ©  +  ^  and  ©  —  Q, 

Terras  to  be  multiplied  by  (—  ~-  —  J 

for  sidereal  days  ; 

(in  thousandths  of  the  circumference.) 

51  Cephei. 

a  Octantis. 

%  Ursa?  Minoiis. 

R.A. 

Dec. 

R.A. 

Dec. 

R.A. 

Dec. 

! 

Sidereal  Day. 

O+Q 

0-UQ 

s 

V 

s 

H 

a 

„ 

Jan.      0 

—0.01 

—0.01 

+0.69 

—0.01 

+0.04 

—0.03 

Jan.       0 

0 

0 

10 

0.00 

0.01 

0.64 

0.02 

0.06 

0.03 

10 

26 

29 

20 

0.00 

0.01 

0.56 

0.03 

0.09 

0.03 

20 

52 

58 

30 

+0.01 

0.01 

0.48 

0.04 

0.11 

0.02 

30 

78 

86  ' 

Feb.      9 

0.01 

—0.01 

0.37 

005 

0.14 

0.02 

Feb.      9 

103 

115 

19 

0.01 

0.00 

0.26 

0.05 

0.15 

0.01 

19 

129 

144 

Mar.      I 

+0.01 

0.00 

0.14 

0.06 

0.17 

0.01 

Mar.      1 

155 

173 

11 

0.00 

0.00 

+001 

0.06 

0.17 

—0.01 

11 

181 

201 

21 

0.00 

+0.01 

—0.13 

0.06 

0.17 

0.00 

21 

207 

230 

31 

—0.01 

+0.01 

0.26 

0.06 

0.17 

0.00 

31 

233 

259 

Apr.     10 

0.02 

0.00 

0.39 

0.06 

0.16 

+0.01 

Apr.     10 

258 

288 

20 

0.02 

0.00 

0.51 

0.05 

0.14 

0.01 

20 

284 

316 

30 

0.03 

0.00 

0.63 

0.05 

0.13 

0.01 

30 

310 

345 

May    30 

0.02 

0.00 

0.73 

0.04 

0.10 

0.02 

May    10 

336 

374 

20 

0.02 

0.00 

0.82 

0.03 

0.08 

0.02 

20 

362 

403 

30 

0.02 

—0.01 

0.90 

0.02 

0.05 

0.02 

30 

388 

432 

June     9 

—0.01 

001 

0.97 

0.02 

+0.02 

002 

June     9 

413 

460 

19 

0.00 

0.01 

1.01 

—0.01 

—0.01 

0.02 

19 

439 

489 

29 

+0.01 

0.0] 

1.03 

0.00 

0.03 

0.02 

29 

465 

518 

July      9 

0.02 

—0.01 

1.04 

+0.01 

0.06 

0.01 

July      9 

491 

547 

19 

0.02 

0.00 

1.02 

0.03 

0.08 

+0.01 

19 

517 

575 

29 

0.03 

0.00 

0.99 

0.03 

0.10 

0.00 

29 

543 

604 

^ug.      8 

0.03 

0.00 

0.94 

0.04 

0.12 

0.00 

Aug.      8 

568 

633 

18 

0.03 

+0.01 

087 

0.05 

0.13 

—0.01 

18 

594 

662 

28 

0.02 

0.01 

0.79 

0.06 

0.15 

0.01 

28 

620 

690 

Sept.     7 

O.C2 

0.01 

0.70 

0.06 

0.15 

0.02 

Sept.     7 

646 

719 

17 

+0.01 

0.01 

0.60 

006 

0.16 

002 

17 

672 

748 

27 

0.00 

0.02 

0.48 

0.06 

0.15 

0.03 

27 

698 

777 

Oct.       7 

—0.01 

0.02 

0.38 

0.06 

0.15 

0.03 

Oct.       7 

723 

806 

17 

0.02 

0.01 

0.28 

0.06 

0.14 

0.04 

17 

749 

834 

27 

003 

+0.01 

0.19 

0.05 

0.13 

0.04 

27 

775 

863 

Nov.      6 

0.04 

0.00 

0.11 

0.04 

0.11 

0.05 

Nov.      6 

801 

892 

16 

0.04 

0.00 

—0.04 

0.04 

O.(i9 

0.05 

16 

827 

921 

26 

€05 

0.00 

+0.01 

0.03 

0.06 

0.05 

26 

853 

949 

Dec.      6 

0.14 

—0.01 

0.03 

0.02 

0.04 

0.05 

Dec.      6 

879 

978 

16 

004 

0.01 

004 

+0.01 

—001 

0.06 

16 

904 

7 

26 

0.03 

0.01 

+0.03 

000 

+0.02 

O.C'6 

26 

930 

36 

36 

—0.02 

—0.01 

—001 

—0.02 

+0.05 

—0.06 

36 

956 

65 

SPECIAL  TABLES. 


249 


TABLE  XXVII. 

Terms  for  Circumpolar  Stars  depending  on  0  +  Q  and  0  —  &. 

Arguments—* 

a  Ursse  Minoris. 

51  Cephei. 

For  a  Ursse  Minoris 

Arg.  =  0  -}-  <~l 

Arg=o-a 

Arg=0  +  Q 

and  51  Cephei. 

I 

"a 
i 

Year.      [    0  +  Q 

0-Q 

1 

R.A. 

Dec. 

1 

R.A.             Dec. 

R.A. 

d 

1 

! 

"** 

"^ 

B 

,/ 

H                          " 

g 

1835 

377 

177 

0 

—0.05+ 

-0.01+ 

0.00       —0.02+ 

+0.01  — 

500 

1866 

323 

230 

10 

0.05 

0.01 

0.00           0.02 

0.01 

510 

1867 

269 

284 

20 

0,04 

0.01 

0.00           0.02 

0.01 

520 

1888 

215 

3:38 

30 

0.04 

0.02 

0.00 

0.02 

0.01 

530 

1869 

161 

392 

40 

0.03 

0.02 

0.00 

0.02 

+0.01— 

540 

1870 

107 

446 

50 

0.03 

0.02 

0.00 

0.02 

0.00 

550 

1*71 

53 

500 

60 

0.02 

0.02 

0.00 

0.02 

0.00 

560 

1872 

0 

C53 

70 

0.02 

0.02 

0.00 

0.02 

0.00 

570 

1873 

946 

6<i7 

80 

—0.01  + 

0.02 

0.00 

0.02 

0.00 

580 

1874 

892 

631 

90 

0.00 

0.02 

0.00 

0.02 

0.00 

590 

1875 

839 

715 

100 

0.00 

0.02 

0.00 

0.01 

0.00 

600 

1876 

785     !        768 

110 

+0.01— 

0.02 

+0.01— 

0.01 

0.00 

610 

1877 

731             822 

120 

0.01 

0.02 

0.01 

0.01 

—0.01  + 

620 

1878 

677     i        876 

130 

0.01 

0.02 

0.01 

0.01 

0.01 

630 

1879 

623     !        929 

140 

0.02 

0.02 

0.01 

O.Oi 

0.01 

640 

1880 

570            983 

150 

0.03 

0.02 

0.01 

0.01 

0.01 

650 

160 

0.03 

0.02 

0.01 

0.01 

0.01 

660 

For  A  Ursre   Minoris  and 
<7  Octnntis. 

170 

180 

0.04 
0.04 

0.02 
0.01 

0.01 
0.01 

0.01 
0.01 

0.01 
0.01 

670 
680 

190 

0.05 

0.01 

0.01 

0.01 

0.01 

690 

Year. 

Q+Q, 

0-Q 

200 
210 

0.05 
006 

0.01 
0.01 

0.01 
0.01 

0.01 
—0.01  + 

0.02 
0.02 

700 
710 

1865 

379 

179 

220 
230 

0.06 
0.07 

0.01 
0.01 

0.01 
0.01 

0.00 
0.00 

0.02 
0.02 

720 
730 

1866 

325 

232 

240 

0.07 

0.01 

0.01 

0.00 

0.02 

740 

1867 

271 

286 

1868 

217 

340 

250 

0.07 

0.01 

0.01 

0.00 

0.02 

750 

1839 

163 

394 

260 

0.08 

0.01 

0.01 

0.00 

0.02 

760 

270 

0.08 

0.01 

0.01 

0.00 

0.02 

770 

1870 

109 

448 

280 

0.08 

0.01 

0.01 

0.00 

0.02 

780 

1871 

55 

502 

290 

0.08 

—0.01+ 

0.01 

0.00 

0.02 

790 

1872 

2 

555 

1873 

948 

609 

300 

0.08 

0.00 

0.01 

0.00 

0.02 

800 

1874 

894 

663 

310 
320 

0.09 
0.09 

0.00 
0.00 

0.01 
.  0.01 

0.00 
0.00 

0.02 
0.02 

810 
820 

1875 

841 

717 

330 

0.09 

0.00 

0.01 

+0.01— 

0.02 

830 

1876 

787 

770 

340 

0.09 

0.00 

0.01 

0.01 

0.02 

840 

1877 

733 

824 

1878 

679 

878 

350 

0.09 

0.00 

0.01 

0.01 

0.02 

850 

1879 

€-35 

981 

360 

0.09 

0.00 

0.01 

0.01 

0.02 

860 

1880 

572 

985 

370 

0.10 

0.00 

0.01 

001 

0.02 

870 

380 

0.09 

+0.01— 

0.01 

0.01 

0.02 

880 

*^on 

00ft 

A  ill 

001 

0  01 

ft  nv> 

CQf) 

400 

.Uo 

0.08 

U.U1 

0.01 

•  \J  A 

0.01 

U.uJ. 

0.01 

U.U/& 

0.02 

Ci/U 

410 

0.08 

0.01 

0.01 

0.01 

0.02 

910 

420 

0.08 

o.oi 

0.01 

0.01 

0.02 

920 

430 

0.08 

0.01 

0.01 

0.01 

0.02 

930 

*  Add  to  the  argument  for  the 

440 

0.07 

0.01 

0.01 

0.02 

"0.02 

940 

beginning  of  the  year  its  motion 

for  the  Sidereal  Day,  on  p.  248. 

450 

0.07 

0.01 

0.01 

0.02 

0.03 

950 

460 

0.07 

0.01 

0.01 

0.02 

0.02 

9CO 

470 

0.06 

0.01 

0.01 

0.02 

0.01 

970 

480 

0.06 

0.01 

0.01 

0.02 

0.01 

980 

490 

0.06 

0.01 

+0.01  — 

O.C2 

0.01 

990 

500 

+0.05— 

+0.01— 

0.00 

+0.02— 

—0.01+ 

1000 

250 


SPECIAL  TABLES. 


TABLE  XXVII. 

Terms  for  Circumpolar  Stars  depending  on  ©  +  Q  and  ©  —  &,. 

a  Octautis. 

AUrsse  Minoris. 

Arg,  =  Q  +  Q 

Arg.=0-Q 

Arg.  =  0  +  Q 

Arg.  =0-Q 

"S 
E 

"3 

s 

1 

R.A. 

De«. 

R.A. 

Dec. 

R.A. 

Dec. 

R.A. 

Dec. 

S> 

0 

—0.02+ 

a 
+0.03— 

0.00 

—0.03+ 

+0.12— 

+0.01— 

+0.01— 

—0.02+ 

500 

10 

0.00 

0.03 

0.00 

0.03 

0.11 

0.01 

0.01 

0.02 

510 

20 

+0.02— 

0.03 

+0.01  — 

0.03 

0.11 

0.01 

0.01 

0.02 

520 

30 

0.04 

0.03 

0.01 

0.03 

0.10 

0.01 

0.01 

0.02 

530 

40 

0.06 

0.03 

0.01 

0.03 

0.10 

0.01 

0.01 

0.02 

540 

50 

0.08 

0.03 

0.02 

0.02 

0.09 

0.01 

0.01 

0.02 

550 

60 

0.10 

0.03 

0.02 

0.02 

0.08 

0.01 

0.0  1 

0.02 

560 

70 

0.12 

0.03 

0.02 

0.02 

0.08 

0.02 

0.01 

0.02 

570 

80 

0.14 

0.02 

0.03 

0.02 

0.07 

0.02 

0.01 

0.02 

580 

90 

0.16 

0.02 

0.03 

0.02 

0.06 

0.02 

+0.01  — 

0.01 

590 

100 

0.18 

0.02 

0.03 

0.02 

0.05 

0.02 

0.00 

0.01 

600 

110 

0.19 

0.02 

0.04 

0.02 

0.04 

0.02 

0.00 

0.01 

610 

120 

0.21 

002 

0.04 

0.02 

0.03 

0.02 

0.00 

0.01 

620 

130 

0.22 

0.02 

0.04 

0.02 

0.03 

0.02 

0.00 

0.01 

630 

140 

0.24 

0.02 

0.05 

0.02 

0.02 

0.02 

0.00 

0.01 

640 

150 

0.25 

0.02 

0.05 

0.01 

+0.01— 

0.02 

0.00 

0.01 

650 

160 

0.26 

0.02 

0.05 

0.01 

0.00 

0.02 

0.00 

0.01 

660 

170 

0.27 

0.01 

0.05 

0.01 

—0.01+ 

0.02 

0.00 

—0.01  + 

670 

180 

0.28 

0.01 

0.05 

0.01 

0.02 

0.02 

0.00 

0.00 

680 

190 

0.29 

0.01 

0.06 

0.01 

0.03 

0.02 

—0.01  + 

0.00 

690 

200 

0.30 

0.01 

0.06 

0.01 

0.04 

0.02 

0.01 

0.00 

700 

210 

0.31 

0.01 

0.06 

—0.01  + 

0.05 

0.02 

0.01 

0.00 

710 

220 

0.31 

0.01 

0.06 

0.00 

0.05 

0.02 

0.01 

0.00 

720 

230 

0.32 

0.01 

0.06 

0.00 

0.06 

0.02 

0.01 

0.00 

730 

240 

0.32 

+0.01— 

0.06 

0.00 

0.07 

0.02 

0.01 

0.00 

740 

250 

0.32 

0.00 

0.06 

0.00 

0.08 

0.02 

0.01 

0.00 

750 

260 

0.32 

0.00 

0.06 

0.00 

0.08 

0.02 

0.01 

+0.01— 

760 

270 

0.32 

0.00 

0.06 

0.00 

0.09 

0.02 

0.01 

0.01 

770 

2HO 

0.32 

0.00 

0.06 

+0.01— 

0.10 

0.02 

001 

0.01 

780 

290 

0.32 

—0.01+ 

0.06 

0.01 

0.11 

C.01 

0.02 

0.01 

790 

300 

0.31 

0.01 

0.06 

0.01 

0.11 

0.01 

0.02 

0.01 

800 

310 

0.31 

0.01 

0.06 

0.01 

0.12 

0.01 

0.02 

0.01 

810 

320 

0.30 

0.01 

0.06 

0.01 

0.12 

0.01 

0.02 

0.01 

820 

330 

0.29 

0.01 

0.05 

0.01 

0.13 

0.01 

0.02 

0.01 

830 

340 

0.28 

0.01 

0.05 

0.01 

0.13 

0.01 

0.02 

001 

840 

350 

0.27 

0.01 

0.05 

0.02 

0.13 

0.01 

0.02 

0.01 

850 

360 

0.26 

0.02 

0.05 

0.02 

0.14 

0.01 

0.02 

0.01 

860 

370 

0.25 

0.02 

0.05 

0.02 

0.14 

0.01 

0.02 

0.02 

870 

380 

0.23 

0.02 

0.04 

0.02 

0.14 

+0.01- 

0.02 

0.02 

880 

390 

C.22 

0.02 

0.04 

0.02 

0.14 

0.00 

0.02 

0.02 

890 

.  400 

0.20 

0.02 

004 

0.02 

0.14 

0.00 

0.02 

0.02 

900 

410 

0.19 

0.02 

0.03 

0.02 

0.14 

0.00 

0.02 

0.02 

910 

420 

0.17 

0.02 

0.03 

0.02 

0.14 

0.00 

0.02 

0.02 

920 

430 

0.15 

0.02 

0.03 

0.03 

0.14 

0.00 

0.02 

0.02 

930 

440 

6.13 

0.02 

0.02 

0.03 

0.14 

0.00 

002 

0.02 

940 

450 

0.12 

003 

0.02 

0.03 

0.14 

0.00 

0.02 

0.02 

950 

460 

0.10 

0.03 

0.02 

0.03 

0.14 

0.00 

0.02 

0.02 

960 

470 

0.08 

0.03 

0.01 

0.03 

0.13 

—0.01+ 

0.02 

0.02 

970 

480 

0.06 

0.03 

0.01 

0.03 

0.13 

0.01 

0.02 

002 

980 

490 

0.04 

0.03 

+0.01  — 

0.03 

0.12 

0.01 

0.02 

0.02 

090 

500 

+0.02- 

—0.03+ 

0.00 

+0.03— 

!  —0.12+ 

_  0.0  l+i  —0.01  +    +0(12— 

1000 

SPECIAL  TABLES. 


251 


TABIE  XXVIII. 

Terms  for  Circumpolar  Stars  depending  on  2  D  . 

Argument  =  Arg.  2  })  (p.  253)  +  Sidereal  Day    (Tab.  xxiv.)  — 

a  Ursse  Minoris. 

51  Cepbei. 

6  Ursse  Minoris. 

A  Ursse  Minoris. 

R.A. 

Dec. 

R.A. 

Dec. 

R.A.                Dec. 

R.A.                 Dec. 

d 

8 

i  / 

8 

n 

s 

it 

s 

a 

0.0 

—0.20 

+0.05 

+0.05 

+0.08 

—0.01 

—0.09 

—0.14 

—0.08 

1  0 

0.24 

+0.02 

—0.01 

0.09 

+0.03 

0.08 

—0.02 

0.09 

2.0 

0.24 

—003 

0.06 

0.08 

0.06 

0.06 

+0.09 

0.08 

3.0 

0.19 

0.05 

0.10 

0.05 

0.08 

—0.02 

0.21 

0.05 

4.0 

—0.09 

0.08 

0.12 

+0.01 

0.08 

+0.02 

0.27 

—0.01 

5.0 

+0.02 

0.08 

0.12 

—003 

0.06 

0.05 

0.28 

+0.02 

60 

O.J2 

0.07 

O.C9 

0.06 

+0.04 

0.08 

0.23    i        0.06 

7.0 

0.20 

0.05 

—0.04 

0.08 

0.00 

0.09 

+0.13    i        0.08 

8.0 

0.24 

—0.0  1 

+0.02 

0.09 

—0.03 

0.08 

0.00 

0.09 

9.0 

0.23 

+0.03 

0.07 

0.07 

0.06 

0.05 

—0.12 

0.08 

10.0 

0.17 

0.06 

0.11 

—0.05 

0.08 

+0.01 

0.22 

0.05 

11.0 

+0.08 

0.08 

0.13 

0.00 

0.08 

—0.02 

0.28 

+0.01 

120 

—0.03 

0.08 

0.12 

+0.04 

0.06 

0.06 

0.27     1    —  ft  03 

13.0 

0.14 

0.07 

0.08 

0.07 

—0.03 

0.08 

0.21     |        0.06 

U.3              0.21 

+0.04 

+0.03 

0.09 

+0.01 

0.09 

—0.11     |        0.08 

13 

0.25 

0.00 

—0.03 

0.09 

0.04 

0.08 

+0.02 

O.C9 

2.3 

0.23 

—0.03 

0.08 

0.07 

0.07 

0.05 

0,14 

0.07 

33 

0.16 

0.06 

0.1  1 

+0.04 

0.08 

—0.01 

0.24 

—0.04 

4.3 

—0.06 

0.08 

0.13 

0.00 

0.07 

+0.03 

0.28 

0.00 

5.3 

+0.05 

0.08 

0.11 

—0.04 

0.06 

0.06 

0.27 

+0.03 

63 

0.15 

0.06 

0.08 

0.07 

+0.03 

0.09 

0.20 

0.07 

7.3 

0.22 

—0.04 

—0.02 

0.09 

—0.01 

0.09 

+O.C9 

0.09 

83 

0.25 

0.00 

+V.03 

0.09 

0.04 

0.07 

—0.04 

0.08 

9.3 

0.22 

+0.04 

0.08 

0.07 

0.07 

+0.04 

0.16    !        0.07 

10.3 

0.15 

0.07 

0.12 

—0.03 

0.08 

0.00 

0.25 

+0.04 

11.3 

+0.05 

0.08 

0.13 

+0.01 

0.07 

—0.03 

0.28 

—0.01 

123 

—0.07 

0.08 

0.11 

0.05 

0.05 

0.07 

0.26 

0.04 

13.3 

0.16 

0.06 

0.07 

0.07 

—0.02 

0.09 

0  19 

0.07 

00 

0.23 

+003 

+0.01 

0.09 

+0.02 

0.09 

—  O.C7 

0.09 

1.6 

0.25 

—0.01 

—0.04 

0.08 

0.05 

0.07 

+0.06 

0.08 

26 

0.21 

0.04 

0.09 

0.  06 

0.07 

—0.04 

0.17 

0.07 

3.6 

0.13 

0.07 

0.12 

+0.03 

0.08 

0.00 

0.25 

—0.03 

4.6 

—003 

O.G8 

0.12 

—0.01 

0.07 

+0.04 

0.28    i     +001 

5.6 

+0.08 

0.08 

0.10 

0.05 

0.05 

0.07 

0.25 

0.04 

6.6 

0.18 

0.06 

0.06 

0.08 

+0.02 

0.09 

0.17 

0.08 

7.6 

0.23 

—0.03 

—0.01 

009 

—0.02 

0.08 

+0.05 

0.09 

86 

0.24 

+0.01 

+0.05 

0.08 

0.05 

0.07 

—0.07 

0.08 

9.6 

0.20 

0.04 

0.10 

0.06 

0.07 

+0.03 

0.19 

0.06 

10.6 

0.12 

0.07 

0.12 

—0.02 

0.08 

-0.01 

0.26 

+0.02 

11.6 

+0.01 

0.08 

0.12 

+0.02 

0.07 

0.04 

0.28 

—0.02 

12.6 

—0.10 

0.08 

0.10 

0.06 

0.04 

0.08 

0.24 

0.05 

13.6 

0.19' 

0.05 

+0.05 

0.08 

—0.01 

0.09 

0.15 

0.08 

0.9 

0.24 

+0.02 

O.oo 

0.09 

+0.03 

0.08 

—0.03 

0.09 

1.9 

0.24 

—0.02 

—0.06 

0.08 

0.06 

0.06 

+0.09 

0.08 

2.9 

0.20 

0.05 

0.10 

0.05 

0.08 

—0.03 

0.20             O.C6 

3.9 

-0.10 

0.07 

0.12 

+0.02 

0.08 

+0.02 

0.27         —0.02 

4.9              0.00 

0.08 

0.12 

—0.03 

0.07 

0.05 

0.28 

+0.02 

5.9 

+0.11 

0.07 

0.09 

0.06 

+0.04 

0.08 

0.23 

O.C5 

6.9 

0.20 

0.05 

—0.05 

0.08 

0.00 

0.09 

0.14 

0.08 

7.9 

0.24 

—0.02 

+0.01 

0.09 

—0.03    i        0.08 

+0.02 

009 

8.9 

0.24 

+0.02 

0.06 

0.08 

0.06            0.06 

—Oil 

0.03 

9.9 

0.18 

0.05 

0.11 

0.05 

0.08    1     +0.02 

0.22 

0.05 

10.9 

+0.09 

0.08 

0.12 

—0.01 

0.08 

—  0.02 

0.28    !     +0.01 

11.9 

—0.02            0.08 

0.12 

+0.03 

OC6 

0.05 

0.28    |    —0.03 

129 

—0.13         +0.07 

+0.09    !    +0-07 

—0.03     i     —0.08 

-0.22    \     —0.06 

252 


SPECIAL  TABLES. 


i 

TABLE  XXVIII. 

Terms  for  Circumpolar  Stars  depending  on  2  D  . 

Argument  =  Arg.  2  J)  (p.  253)  +  Sidereal  Day    (Tab.  xxiv.)  _ 

a  Ursas  Minoris.                  51  Cephei. 

d  UrsoB  Minoris. 

?„  UrsjB  Minoris. 

Arguiyicn  t. 

E.A. 

Dec. 

R.A. 

Dec. 

R.A. 

Dec. 

R.A. 

Dec. 

a 

s 

„ 

8 

/; 

s 

/; 

s 

„ 

0.2 

—0.21 

+0.04 

+0.04 

+0.08 

0.00 

—0.09 

—0.12 

—0.08 

1.2 

0.25 

+0.01 

—0.02 

O.C9 

+0  04 

0.08 

0.00 

0.09 

2.2 

0.23 

—0.03 

007 

0.07 

0.06 

0.05 

+0.13 

0.07 

3.2 

0,17 

0.06 

0.11 

+0.04 

0.08 

—0.01 

0.23 

0.05 

4.2 

—0.07 

0.08 

0.13   v 

0.00 

0.08 

+0.03 

0.28 

—0.01 

52 

-fO.04 

0.08 

0.11 

—0.04 

0.06 

0.06 

0.27 

+0.03 

6.2 

0.14 

0.07 

0.08 

0.07 

+0.03 

0.08 

0.21 

O.C6 

7.2 

0.22 

—0.04 

—0.03 

0.09 

—0.01 

0.09 

+0.10 

0.08 

82 

0.25 

0.00 

+0.03 

0.09 

0,04 

0.07 

—0.02 

0.09 

9.2 

0.22 

+0.-03 

0.08 

0.07 

0.07 

0.05 

0.15 

0.07 

10.2 

0.16 

0.06 

an 

—0.03 

0.08 

+0.01 

0.24 

+0.04 

11.3 

-fO.06 

0.08 

0.13 

0.00 

0.07 

—  0.03 

0.28 

0.00 

]2.2 

—0.05 

0.08 

0.11 

+0.04 

0.05 

8.0(1 

0.27 

—0.04 

13:2 

0.16 

0.06 

0.07 

0.07 

—0.02 

O.OJ 

0.-20 

0.07 

0.5 

0.22 

+0.03 

+0.02 

0.09 

+0.01 

o.o 

—0.09 

0.09 

15 

0.25 

0.00 

—0.04 

0.08 

0.05 

0.07 

+0.04 

0.08 

2.5 

0.22 

—0.04 

0.08 

0.07 

0.07 

—0.04 

0.16 

0.07 

3.5 

0.14 

0.07 

0.12 

+0.03 

0.08 

0.00 

0.25 

—0.04 

4.5 

—0.04 

0,08 

0.12 

—0.01 

0.07 

+0.04 

0.28 

+0.01 

5.5 

4-0.07 

0.08 

0.11 

0.05 

0.05 

0.07 

0.26 

0.04 

6.5 

0.17 

0.06 

007 

0.07 

+0.02 

0.09 

0.18 

0.07 

7.5 

0.23 

—0.03 

—0.01 

0.09 

—0.02 

0.09 

+0.07 

0.-09 

8.5 

0.25 

+0.01 

+0.04 

0.08 

0.05 

0.07 

—0.06 

0.08 

95 

0.21 

0.04 

0.09 

0.06 

0.07 

+0.04 

0.18 

0.06 

105 

0.13 

0.07 

0.12 

—0.02 

0.08 

0.00 

0.26 

+0.03 

11.5 

+0.02 

0.08 

0.12 

+0.01 

0.07 

—0.04 

0.28 

—0.01 

12.5 

—0.09 

o:08 

0.10 

0.05 

0.05 

0.07 

0.25 

0.05 

135 

0.18 

0.06 

+0.06 

0.08 

—0.01 

0.09 

0  17 

0.08 

0.8 

0.24 

+0.02 

0.00 

0.09 

+0.02 

0.08 

—0.05 

0.09 

1.8 

0.24 

—0.01 

—0.05 

0.08 

0.05 

0.06 

+008 

0.08 

2.8 

0.21 

0.04 

0.10 

0.06 

0.07 

—0.03 

0.19 

0.  06 

3.8 

0.11 

0.07 

0.12 

+0,02 

0.08 

+0.01 

0.26 

—0.02 

4.8 

—0.01 

0.08 

0.12 

—0.02 

007 

0.05 

0.28 

+0.02 

5.8 

+0.10 

0.07 

0.10 

0.06 

JO.  04 

0.08 

0.24 

0.05 

6.8 

0.19 

0.05 

-0.05 

008 

+0.01 

0.09 

0.15 

0.08 

78 

0.24 

—0.02 

+0.01 

0.09 

—O.Q3 

0.08 

+0.03 

0.09 

8.8 

0.24 

+0.02 

0.06 

0.08 

0.06 

0.06 

—0.10 

0.08 

9.8 

0.19 

0.05 

0.10 

0.05 

0.08 

+0.03 

0-21 

0.05 

10.8 

+0.10 

0.07 

0.12 

—0.01 

0.08 

—0.02 

0.27 

+0.03 

118 

—  O.C1 

0.08 

0.12 

+0.03 

O.C6 

0.05 

0.28 

—0.02 

12.8 

0.12 

0.07 

0,09 

0.06 

—0.04 

0.08 

0.23 

0.05 

0.1 

0.20 

0.05 

+0.04 

0.08 

0.00 

0.09 

0.13 

0:08 

1.1 

0.24 

+0.01 

—0.0  1 

0.09 

+0.03 

0.08 

—0.01 

0.09 

2.1 

0.24 

—0.02 

0.07 

008 

0.06 

0.05 

+0.12 

0.08 

3.1 

0.18 

C.06 

0.11 

+0.05 

0.08 

—0.02 

0.22 

0.05 

4.1 

—0.09 

0.08 

0.12 

0.00 

0.08 

+0.02 

0.28 

—0.01 

5.1 

+0.03 

0.08 

0.12 

—0.03 

0.06 

0.06 

0.28 

+0.03 

6.1 

0.13 

0.07 

0.08 

0.07 

+0.03 

0.08 

0.22 

0.06 

7.1 

0.21 

—0.  04 

—0.03 

0.08 

0.00 

0.09 

+Q.12 

0.08 

8.1 

0.25 

0.00 

+0.02 

0.09 

—0.04 

0.08 

—0.01 

0.09 

9.1 

0.23 

+0.03 

0.07 

0.07 

0.06 

0.05 

Otl3 

0.07 

10.1 

0.17 

0.06 

0.11 

—0.04 

0.08 

+0.01 

023 

0.04 

11.1 

+007 

0.08 

0.13 

000 

0.08 

—0.03 

0.28 

+0.01 

12.1 

—0.04 

008 

0.11 

+0.04 

0.06 

0.06 

0.27 

—0.03 

13.1 

—0.15 

+0.07 

+0.08 

+0.07 

—0.03 

—0.08 

—0.20 

—0.06 

SPECIAL  TABLES. 


TABLE 

XXVIII. 

Terms  for  Circumpolar  Stars  depending  on  2  ])  . 

Argument  ==  Arg.  2  ])  (p.  253)  -f  Sidereal  Day    (Tab.  xxiv.) 

a  Ursee  Minor  is. 

51  Cephei. 

6  Ursse  Minoris. 

A  Ursae  Minoris. 

Argument, 

R.A. 

Dec. 

R.A. 

Dec. 

R.A. 

Dec. 

R.A. 

Dec. 

a 

p 

a 

8 

, 

, 

( 

„ 

8 

,, 

0.4 

-0.22 

+0.04 

+003 

+0.09 

+001 

—0.09 

—0.10 

—0.08 

1.4 

0.25 

0.00 

—0.03 

0.09 

0.04 

0.07 

+0.03 

0.09 

2.4 

a  22 

—003 

0-C8 

0.07 

0.07 

0.04 

0.15 

0.07 

34 

0.15 

0.07 

0.12 

+0.03 

0.08 

—0,01 

0.24  ' 

—0.04 

4.4 

—0.05 

0.08 

0.13 

—0.01 

0.07 

+0.03 

0.28 

0.00 

54 

-1-0.06 

0.08 

0.11 

0.04 

0.05 

0.07 

0.26 

•    +0.04 

6.4 

0.16 

0.06 

0.07 

0.07 

+0.02 

0.09 

0.19 

0.07 

7.4 

0.23 

—0.03 

—0.02 

0.09 

—0.01 

0.09 

+0.08 

0.09 

8.4 

0.25 

-fO.Ol 

+0.04 

0.08 

0.05 

0.07 

—0.05 

0.08 

9.4 

0.21 

0.04 

0.09 

0.07 

0.07 

+0.04 

0.16 

0.07 

10.4 

0.14 

007 

0.12 

—0.03 

0.08 

0.00 

0.25 

+0.03 

11  .4 

+0.03 

0.08 

0.12 

+0.01 

0.07 

—0.04 

0.28 

—0.01 

12  .4 

—0.08 

0.08 

0.11 

0.05 

0.05 

0.07 

0.26 

0.04 

13.4 

0.17 

0.06 

0.06 

0.08 

—0.02 

0.09 

0.18 

0.07 

0.7 

0.23 

+0.03 

+0.01 

0.09 

+0.02 

0.08 

—0.06 

0.09 

1.7 

0.24 

—0.01 

—0.05 

0.08 

0.05 

0.07 

+0.07 

0.08 

27 

021. 

0.04 

0.09 

0.06 

0.07 

—0.03 

0.18 

0.06 

3.7 

0.12 

0.07 

0.12 

+0.02 

0.08 

0.00 

0.26 

—0.02 

4.7 

—0.02 

0.08 

0.12 

—0.02 

0.07 

+0.04 

0.28 

+0.01 

5.7 

-f-0.09 

0.08 

0.10 

0.05 

0.05 

0.08 

0.25 

0.05 

6.7 

0.18 

0.06 

—0.06 

0.08 

+0.01 

0.09 

0.16 

0.08 

7.7 

0.24 

—0.02 

0.00 

0.09 

—0.02 

0.08 

+0.04 

0.09 

8.7 

0.24 

+0.02 

+0.06 

0.08 

0.05 

0.06 

—0.09 

008 

9.7 

0.20 

0.05 

010 

0.06 

0.07 

+0.03 

0.20 

0.06 

10.7 

-f-0.11 

0.07 

0.12 

—0.02 

0.08 

—0.01 

0.27 

+0.02 

11.7 

0.00 

0.08 

0.12 

+0.03 

0.07 

0.05 

0.28 

—0.02 

12.7 

—0.11 

+0.07 

+0.09         +0.06 

—0.04 

—0.08 

—0.24 

—0.05 

The  argument  2  ])  . 

Multiples  of  the  Period  of  the  Argument  2  D  . 

1860 

d 

0.88 

1 

13.70 

16 

219.17 

1861 

10.97 

2 

27.40 

17 

232.87 

1862 

7.36 

3 

41.09 

18 

246.57 

1863 

3.75 

4 

54.79 

19 

260.27 

1864 

0.14 

5 

68.49 

20 

273.96 

1865 

10.23 

6 

82.19 

21 

287.66 

1866 

6.62 

7 

9589 

22 

301.36 

1867 

3.01 

8 

109.59    . 

23 

315.06 

1868' 

13.10 

9 

123.28 

24 

328.76 

18(59 

9.49 

10 

136.98 

25 

342.45 

1870 

5.88 

11 

ICO.  68 

26 

356.15 

1871 

2.27 

12 

164.38 

27 

369.85 

1872 

12.36 

13 

178.08 

1873 

8.76 

14 

191.77 

1874 

5.15 

15 

205.47 

1875 

1.54 

1876 

11.63 

1877 

8.02 

1878 

4.41 

1879 

0.80 

1880 

10.89 

254 


SPECIAL  TABLES. 


TABLE  XXIX.—  Reductions  of  tlic  mean  places  of  the  Stars  in  the  American  Ephemeris, 
1865-69,  to  those  adopted  in  these  Tables. 

\_t  is  reckoned  from  1865.0.] 

IN  RIGHT  ASCENSION. 

R.A. 
3   Hvdri  Oh 

—0.221  —  0.0188* 
—0.050  —  00010* 
+1.113  +0.0512* 
4-0.005  —0.0005* 
—0.022  —0.0002* 

—0.033  -0.0013* 
+0.483  +0.0332* 
4-0.027  -j-0.0007* 
+0.040      0.0000* 
—0.049  —0.0009* 

_0.007  —0  0002* 
—0.005  —0.0004* 
+0.079  +0.0029* 
—0.003      0.0000* 

R.A. 

a2  Centauri      .     .     .     14/i 
/?l  Scorpii    .     .     .     .     15 
7]    Draconis      .     .           16 
f    Ophiuchi      ...     16 
(3   Draconis      ...     17 

d    Ursoe  Minoris    .     .     18 
d   Sagittarii     ...     19 
r    Aquilse   ....      19 
/I    Ursse  Minoris    .      .      19 
Groombridge  3241  .     20 

ei'Cygni     ....     21 
1    Pegasi    ....     21 
fj.    Capricorni    .      .     .21 
A    Aquarii  ....     22 

—0.025  —0.0020* 
+0.042  +0.0002* 
—0.519  —0.0196* 
—0.023  —0.0003* 
+0.024  +0.0003* 

_0084  —0.0022* 
—0.050  —0.0010* 
—0.073  —0.0013* 
+0.537  —0.0048* 
+0.210  +0.0050* 

+0.287  +0.0138* 
_O.U10  —  0.0010* 
—0.035  —0.0015* 
+0.025  +0.0005* 

e    Piscium    ....      0 
a   Ursoe  Minoris      .     .      1 
77    Piscium    .     .     .     .     1 
a   Persei  .           ...     3 

a   Colunibae             .     .     5 
51  Cephei  *              .     .     6 
fj,   Leonis                 .     .     9 
I    Leonis                 .     .10 
o    Virginis               .     .11 

ft   Cliamaaleontis     .     .   12 
a1  Crucis  12 

ft   Corvi  12 

3   Centauri  .      .     .     .13 

IN  DECLINATION. 

R.A. 

a    Andromedse                    U/t 
7    Pegasi      ....     0 
ft   Hy'dri  0 

//           // 
—0.23  —.005* 
+0.3-8  +.012* 
—0.03      .COO* 
—0.48  —.006* 
+1.11  +.OJ9* 

+0.61  +.025* 
—0.15  —.005* 
+1.42  +027* 
4-1.05  -J-.018* 
+041  +.028* 

+0.74  +.016t 
+0.11  +.003* 
—0.20  +.029* 
+1.73  4--037* 
+0.40  +.014* 

+0.47  +.013* 
—0.04  +.001* 
—0.35      .000* 
+029  +.012* 
+0.17  +.026* 

+1.44  +.031* 

+0.86  +.028* 
+  1.27  +.0-224 
—  0.1)8  —.00  It 
+0.73  +.008* 

+0.29  +.019* 
—0.38  —.004* 
+0.60  +.016* 
+0.61  +.020* 
+0.88  +.030* 

+0.74  +.026* 
4-0.73  +.014* 
_0.76  —.022* 
+0.79  +.017* 
+1.35  +.033* 

R.A. 

•y   Geminorum    .      ,     .     6/t 
51  Cephei      ....     6 
e    Cauis  Majoris     .     .     6 
d    Canis  Majoris      .      .     6 
6    Geminorum    ...     7 

ft    Geminorum  *      -     ,     7 
0   Geminorum   ...     7 
15  Argus  ....           8 

//           // 
+0.76  +.013* 

—0.40  —.048* 
+1.80  +.024* 
+0.94  +.027* 
+1.02  +.029* 

+0.63  +.017* 
+1.28  +.036* 
4-0.89  -j-  -01  3* 
4-0.62  4--018* 
—0.13  +.014* 

+1.16  +.031* 
+0.15  +.006* 
+0.47  +.015* 
4-0.83  4--014* 
+0.34  +.014* 

+0.62  +.011* 
4-1.50  +.0311 
+  1.07  +.031* 
+1.34  +.019* 
4-0.19  4--006* 

+1.06  +.015* 
4-1.57  4--016* 
4058  +.011* 
4-0.74  4-  023* 
+0.37  +.010* 

+0.10  +.OC5* 
+1.35  +.030* 
4-0.65  -J--  01  8* 
4-2.32  4--033* 
+0.26  +.005* 

+0.83  +.020* 
+0.56  4--  01  6* 
4-0.70  4--008* 
-0.22  —.002* 
+1.21  +.027* 

a    Cassiopeaj      ...     0 
ft    Ceti          .                      0 

e    Piscium    ....      0 
a   Ursco  Minoris      .     .      1 
#l  Ceti                                 1 

/a   Piscium    ....     1 
o    Piscium    ....      1 

ft   Arietis      ....     1 
a    Arietis      ....     1 
£i   Ceti     2 

s    Hydra     ....     8 
t    Ursae  Majoris      .     .     8 

K    Cancri      ....     9 
a    Hydra      ....     9 
6    Ursa;  Majoris      .     .     9 
s    Leonis      ....     9 
H  Leonis      ....     9 

a   Leonis      ....    10 
y1  Leonis      ....    10 
p    Leonis      ....    10 
I    Leonis      ....    10 
a   Ursse  Majoris      .     .10 

6   Leonis      .     .     .     .11 
d    Crateris    .     .     .     .11 
T   Leonis      ....   11 
v    Leonis      .     .     .     .11 
ft  Leonis      .     .     .     .11 

-y   Ursae  Majoris      .     .11 
o    Virginis    .      .      .      .11 
ij    Virginis    .     .     .     .12 
ft   Corvi  .                 .     .    12 

y   Ceti     2 

a   Ceti     2 

C    Arietis                             3 
a    Persei                              3 
6    Persei                              3 
r)    Tauri                               3 
C    Persei                             3 

7l  Eridani     ....     3 
y    Tauri  4 

e    Tauri  4 

L    Aurigae     ....     4 

11  Orionis     ....     4 
a    Aurigce     ....      5 
8    Orionis     ....     5 
8   Tauri  5 

6    Orionis     ....     5 

12  Can.  Venat.  .     .     .12 
0    Virginis                         13 

e    Orionis     ....     5 
a    Colurnbse       ...     5 
a    Orionis     ....     5 
fj.    Geuiinorum  ...     6 

a    Virginis    .      .      .      .13 
C    Virginis    .     .     .     .13 
77    Ursae  Majoris      .     .13 
rj    Bootis  13 

SPECIAL  TABLES. 


255 


TABLE  XXIX.—  Reductions  of  the  mean  places  of  the  Stars  in  the  American  Ephemeris, 

1865-09,  to  those  adopted  in  these  Tables. 

\_t  is  reckoned  from  1865.0.] 

IN  DECLINATION. 

R.A. 

a           a 

R.A. 

//           // 

a    Bootia     .     .     .     .     14/t 

4-0.09  +.005* 

a    Sagittarii      .     .           18A 

+0.73  +.018* 

6    Bootis     ....     14 

4-0.85  +.015* 

C    Aquilie   ....      18 

+0.24  +.015* 

a"  Centauri       .                 14 

—0.10  —  .012* 

d   Sagittarii      ...     19 

+3.84  +.030* 

e    Bootis     ....      14 

-fO.97  +.020* 

6    Aquilse         ...      19 

+0.67  —.007* 

a2  Librae     ....     14 

+0.25      .000* 

K    Aquilae         ...     19 

+1.61  +.022* 

ft   Bootis     .....     14 

+1.06  +.021* 

y    Aquilae         ...     19 

+0.04      .000* 

(3   Librae                            >^ 

+1.20  +.006* 

a    Aquilas         ...      19 

+0.01  —.003* 

/z1  Bootis     ....     15 

+0.48  +.009* 

ft   Aquilas         ...      19 

+0.53  +.014* 

a   Coronjw  Borealis     .     15 

—  0.39  —.012* 

r    Aquilae         ...      19 

+0.97  +.009* 

a    Serpentis      ...     15 

+0.11      .000* 

A    Ursse  Minoris    .     .      19 

—0.52  —.014* 

e    Serpentis      .           .     15 

+0.63  +.010* 

a2  Capricorni   ...     20 

+0.26  +.006* 

e    Coronai  Borealis     .      15 

+1.16  +.016* 

77   Capricorni   ...     20 

+0.53  —.050* 

<5    Scorpii    .     .     .     .     15 

+1.60  +.012* 

E    Delphini      ...     20 

+0.94  —.020* 

ft1  Scorpii    .     .     .     .     15 

+0.29  +.001* 

a    Cygni     ....     20 

—  0  24  —.005* 

6    Ophiuchi     ...     16 

+1.45  +.002* 

fj.   Aquarii  ....     20 

+0.95  +.02C* 

r    Herculis       .     .     .     16 

+0.32  —.004* 

v    Cygni     ....     20 

+0.97  +.003* 

a    Scorpii    ....      16 

—0.21  —.004* 

61'Cygni     ....     21 

+0.88  +.025* 

?/    Draconis      .     .     .     16 

—0.70  —.012* 

C    Cygni     ....     21 

+0.77  +.014* 

C    Ophiuchi      ...      16 

+1.11  +.017* 

1    Pegasi    ....     21 

+0.03  —.003* 

j]    Herculis.     ...     16 

+0.75  +.006* 

ft   Aquarii  ....     21 

+1.10  +.008* 

K    Ophiuchi      ...     16 

+1.25  +.003* 

§   Aquarii  ....     21 

+0.82  +.023* 

d    Herculis.     ...     16 

+0.70  +.COI* 

£    Pegasi     ....     21 

+0.70  +.008* 

a1  Herculis.      ...      17 

+0.05  —.002* 

/z    Capricorni   ...     21 

+1.73  +.011* 

44  Ophiuchi      ...     17 

+2.09  +.035* 

a    Aquarii  ...      .21 

+0.18  —.002* 

Q   Draconis      ...     17 

—0.06  —  .C04* 

6    Aquarii  ....     22 

+0.43  +.019* 

a    Ophiuchi      ...     17 

—0.22  —.011* 

TT  Aquarii  ....     22 

+1.04  +.012* 

fj.   Herculis.     ...     17 

+1.46  +.017* 

7]   Aquarii  ....     22 

+0.53  +.OH;* 

Y2  Sngittarii      ...      17 

+0.92  +.010* 

£    Pegasi    ....     22 

+0.65  +.007* 

fj.1  Sagittarii  •    ...      18 

+  1.08  +.013* 

A   Aquarii   ....     22 

+1.08  +.023* 

6    Ursflc  Minoris   .      .     18 

+1.01  +.024* 

a   Piscis  Australis      .     22 

+0.66  +.010* 

T)    Serpentis      .           .     18 

+1.60  +.010* 

a   Pegasi    ....     22 

—0.30  —.011* 

1    Aquilac   ....      18 

+1.85  +.020* 

6    Piscium.     ...     23 

+1.86  +.034* 

a   Lyrse      ....     18 

—0.33  —.002* 

i     Piscium  ....     23 

+0.89  +  014* 

8   Lyrse      ....     18 

+0.92  +.017* 

u    Piscium  ....     23 

+0.94  +.028* 

256 


SPECIAL  TABLES. 


TABLE  XXX.—  Correction  of  the  place  of  a  Canis  Majoris  (Sinus)  due  to  orbital  motio-n, 

for  the  beginning  of  each  year.* 

R.  A. 

Dec. 

R.  A. 

Dec. 

R.  A. 

Dec. 

Years. 

1 

r 

Years. 

q 

r 

Years. 

q 

r 

s 

n 

_ 

3 

„ 

8 

„ 

1750 

+0.183 

+0.85 

1800 

+0.134 

+0.81 

1850 

+0.086 

+0.76 

1751 

161 

0.81 

1801 

113 

0.75 

1851 

066 

0.69 

175*2 

140 

0.75 

1802 

093 

0.68 

1852 

047 

0.61 

1753 

121 

0.67 

1803 

075 

0.59 

1853 

029 

0.51 

1754 

103 

0.58 

1804 

058 

0.50 

1854 

+0.013 

0.41 

1755 

087 

0.47 

1805 

042 

0.39 

1855 

-0.001 

0.31 

1756 

072 

0.37 

1806 

028 

0.28 

1856 

015 

0.19 

1757 

058 

0.25 

1807 

015 

0.16 

1857 

027 

+0.07 

1758 

045 

0.14 

1808 

+0.003 

+0.05 

1858 

038 

—0.04 

1759 

034 

+0.02 

1809 

—0.007 

—0.07 

1859 

048 

0.16 

1760 

024 

—0.10 

1810 

017 

0.19 

1860 

057 

0.28 

1761 

015 

0.22 

1811 

025 

0.31 

1861 

065 

0.41 

1762 

+0.007 

0.34 

1812 

033 

0.43 

1862 

072 

0.53 

1763 

0.000 

0.46 

1813 

039 

0.55 

1863 

078 

064 

1764 

—0.006 

0.58 

1814 

044 

0.67 

1864 

083 

0.76 

1765 

Oil 

0.70 

1815 

049 

0.79 

1865 

086 

0.88 

1766 

015 

0,82 

1816 

052 

0.90 

1866 

089 

0.99 

1767 

018 

0.93 

1817 

055 

1.02 

1867 

091 

1.10 

1768 

020 

.04 

1818 

056 

1.13 

1868 

092 

1.21 

1769 

021 

.15 

1819 

057 

1.23 

1869 

092 

1.31 

1770 

021 

.25 

1820 

056 

1.33 

1870 

091 

1.41 

1771 

020 

.35 

1821 

055 

1.43 

1871 

089 

1.51 

1772 

018 

.45 

1822 

052 

1.53 

1872 

086 

1.60 

1773 

016 

.54 

1823 

049 

1.61 

1873 

082 

1.68 

1774 

012 

.63 

1824 

045 

1.70 

1874 

077 

1.76 

1775 

007 

.71 

1825 

041 

1.77 

1875  ^ 

072 

1.84 

1776 

—0.002 

.78 

1826 

033 

1.84 

1876 

065 

1.90 

1777 

+0.005 

.84 

1827 

026 

1.90 

1877 

057 

1.96 

1778 

013 

.90 

1828 

018 

1.96 

1878 

048 

2.00 

1779 

022 

.95 

1829 

—0.008 

2.00 

1879 

038 

2.04 

1780 

032 

.99 

1830 

+0.002 

2.03 

1880 

026 

2,07 

1781 

043 

2.02 

1831 

014 

2.05 

1881 

—0014 

2.08 

1782 

055 

2.04 

1832 

027 

2.06 

1882 

0.000 

2.08 

1783 

068 

2.04 

1833 

041 

2.05 

1883 

+0.015 

2.07 

1784 

083 

2.03 

1834 

057 

2.03 

1884 

031 

2  03 

1785 

099 

1.99 

1835 

074 

1.99 

1885 

049 

1.97 

1788 

117 

1.94 

1836 

092 

1.91 

1S86 

068 

1.88 

1787 

136 

1.85 

1837 

112 

1.82 

1887 

088 

1.77 

1788 

156 

1.74 

1838 

133 

2-63 

1888 

110 

1.60 

1789 

178 

1  .89 

1839 

155 

1.51 

1889 

133 

1.40 

1790 

200 

1.30 

1840 

178 

1.27 

1890 

156 

1.12 

1791 

223 

1.13 

1841 

200 

0.96 

1891 

176 

077 

1792 

244 

0.79 

1842 

219 

0.59 

189<2 

190 

—0.37 

1793 

259 

—0.39 

1843 

228 

—0.16 

1893 

191 

+0.06 

1794 

263 

+0.04 

1844 

222 

+0.24 

.1894 

178 

0.41 

1795 

252 

0.40 

1845 

205 

0.53 

1895 

156 

0.63 

1796 

231 

0.64 

1816 

182 

0.71 

1896 

131 

0.75 

1797 

2-06 

0.78 

1847 

156 

0.79 

1897 

106 

0.80 

1798 

181 

0.83 

1848 

132 

0.82 

1898 

082 

0.79 

1799 

157 

0.84 

J849 

108 

0.80 

1899 

060 

0.76 

1800 

+0.134 

+0.81 

1850 

+0.083 

+0.76 

1900 

+0.039 

+0.70 

: Prepared  from  the  formulae  of  AUWEUS. — Astronomisclie  Nachrichten,  vol.  63,  No.  150G. 


SUPPLEMENTARY  TABLES, 


FOE  SMALL  TERMS  OF  NUTATION. 


17 


258 


SUPPLEMENTARY  TABLES. 


TABLE  XXXI.—  Terms  in  the  reduction  of  Mean  to 

App't  11.  Ascensions  depending  on  2  d  . 

A'  a  =  —  Os.0125  sin  2  ([  .     A"  a  =  —  [0s.  00542  sin  2  ({  sin  a  +  0s.  00590  cos  2  ([  cos  a]  tan  6. 

Side  Arg.  =  Arg.  IV  (p.  34)  +  d'  +  day  of 

year. 

Hor.  Arg.  =  Star's  R.  Ascension. 

£ 

A'    a 

A"    a  -r-  tan  6. 

To  be  multiplied  by  tan  S 

£ 

C 

0* 

1* 

2* 

3* 

4h 

5h 

6^ 

7h       gh 

9* 

10* 

lib 

12* 

< 

d 

s 

s 

d 

0.0 

—  o.oco 

—0.0059 

—57 

—51 

—42 

—29 

—15 

—00 

+15  +29 

+42 

+51 

+57 

+59 

0.0  i 

0.5 

03 

57 

59 

56 

50 

39 

26 

12 

+03 

18 

32 

44 

52 

57 

0.5 

1.0 

05 

53 

58 

58 

54 

47 

37 

24 

—10 

+05 

20 

34 

45 

53 

1.0 

1.5 

08 

45 

53 

57 

57 

5:} 

45 

35 

22 

—07 

+07 

22 

35 

45 

1.5 

2.0 

10 

36 

46 

52 

55 

55 

51 

43 

32 

19 

—06 

+09 

23 

36 

2.0 

2.5 

11 

24' 

36 

45 

52 

54 

54 

49 

42 

31 

18 

—04 

+11 

24 

25 

30 

12 

—        11 

25 

36 

45 

51 

54 

53 

49 

40 

30 

17 

-03 

+  11 

3.0 

3.5 

12 

+        02 



12 

25 

37 

46 

51 

54 

52 

48 

39 

29 

16 

—02 

3.5  | 

4.0 

12 

15 

+02 

-13 

26 

37 

46 

52 

54 

53 

48 

39 

29 

15 

4.0 

4.5 

11 

28 

15 

00 

14 

27 

39 

48 

53 

55 

53 

48 

40 

28 

4.5 

5.0 

09 

39 

27 

+14 

—01 

15       29 

40 

49 

55 

56 

54 

48 

39 

5.0 

5.5 

07 

48 

39 

26 

+12 

—02  I     18 

31 

42 

51 

56 

57 

55 

48 

5.5 

6.0 

05 

54 

48 

37 

24 

+10   —05 

21 

33 

45 

53 

57 

59 

54 

6.0 

6.5 

—0.002 

58 

54 

47 

36 

22   +07 

— 

08 

23 

36 

47 

55 

59 

58 

6.5 

7.0 

+0.001 

59 

58 

53 

45 

33 

19 

+04 

—11 

25 

39 

49 

56 

59 

70 

7.5 

04 

56 

59 

57 

52 

42 

30 

16 

+01 

14 

28 

41 

50 

56 

7.5  1 

8.0 

06 

51 

58 

58 

55 

49 

39 

28 

14  ;—  01 

16 

30 

42 

51 

8.0 

8.5 

09 

42 

51 

55 

57 

54 

47 

37 

25   +11 

—03 

18 

31 

42 

8.5 

9.0 

10 

32 

43 

50 

55 

55 

52 

45 

36 

23 

+09 

—05 

20 

32 

9.0 

9.5 

12 

20 

33 

43 

50 

54 

54 

51 

44 

34 

22 

+08 

—07 

20 

9.5 

10.0 

12 

+        07 

21 

32 

43 

50 

53 

53 

50 

43 

33 

21 

+07 

—07 

10.0 

10.5 

12 

—       07 

+07 

21 

33 

43 

50 

53 

53 

50 

43 

32 

21 

+07 

10.5 

11.0 

12 

20 

—07 

+08 

22 

34 

44 

51 

54 

54 

50 

43 

33 

20 

11.0 

11.5 

10 

32 

20 

-05 

+09 

23 

36 

45 

52 

55 

55 

50 

43 

32 

11.5  1 

12.0 

09 

42 

31 

18 

—03 

+11 

25 

37 

47 

54 

57 

55 

51 

42 

12.0 

12.5 

06 

51 

43 

30 

16 

—01 

14 

27 

39 

49 

55 

58 

58 

51 

12.5 

13.0 

04 

56 

50 

41 

28 

14 

+01 

16 

31 

42 

52 

57 

59 

56 

13.0 

13.5 

+0.001 

59 

56 

49 

39 

26 

—11 

+04 

19 

32 

45 

53 

58 

59 

13.5 

14.0 

—0.002 

-0.0058 

-59 

-55 

—47 

—36 

—23 

—08 

+07 

+22 

+36 

+46 

+54 

+58 

14.0 

12h      13h 

14h 

I51' 

16* 

IT* 

1* 

1911 

20h 

21  * 

Ogh 

23h 

24  ii 

TABLE  XXXII.—  Terms  in  the  reduction  of  Mean  to  App't  R.  Ascensions  depending  on  <[  —  r'. 

&>»  a  =  +0.0041 

(L 

+  03.00180  sin«[  — 

T')  sin  a  X  tan  cJ. 

Side  Arg.  —  Arg. 

V  (p  34)  +  d'  +  day  of  year.     Hor.  Arg.  =  Star's  Right  Ascension. 

t> 

A  xr  *  -*-  tan  ^-     To  be  multiplied  by  tan  6. 

A  f  a  -f-  tan  6.     To  be  multiplied  by  tan  S. 

£ 

A  J  a. 

i    oh 

lk 

gh 

3h 

4h 

5h 

fib 

6C 

A'J  a. 

(    Oh 

I* 

2* 

3h 

4h 

5h     6h 

•< 

j  12h 

llh 

I0h 

9h 

hh 

7h 

6h 

< 

-)  12* 

llh 

10h 

9h 

8h 

7h       (Jh 

d 

8 

8 

1 

d 

8 

B 

0    - 

fO.OOO 

0.0000 

+0 

+0 

4-0  +o 

-f-o 

+0 

14 

—0.000 

0.0000 

-0 

—  0 

—  1 

—  1 

—  1     —1 

1 

1 

0 

1 

2 

3 

4 

4 

4 

15 

1 

0 

I 

2 

3 

3 

4       4 

2 

2 

0 

2 

4 

6 

7 

8 

8 

16 

2 

0 

2 

4 

6 

8 

9       9 

3 

3 

0 

3 

6 

8 

10 

11 

11 

17 

3 

0 

3 

6 

9 

10 

12     12 

4 

3 

0 

4 

7 

10 

12 

14 

14 

18 

3 

0 

4 

7 

10 

13 

14      15 

5 

4 

0 

4 

8 

11 

14 

16 

16 

19 

4 

0 

4 

8 

12 

14 

16     17 

6 

4 

0 

5 

9 

13 

15 

17 

18 

20 

4 

0 

5 

9 

13 

15 

17      18 

7 

4 

0 

5 

9 

13 

16 

18 

18 

21 

4 

0 

5 

9 

13 

15 

17      18 

8 

4 

0 

4 

9 

12 

15 

17 

17 

22 

4 

0 

4 

9 

12 

15 

17      17 

9 

4 

0 

4 

8 

11 

J4 

15 

16 

23 

4 

0 

4 

8 

11 

13 

15     15 

10 

3 

0 

3 

7 

10 

12 

13 

14 

24 

3 

0 

3 

7 

9 

11 

13     In; 

11 

2 

0 

3 

5 

8 

9 

10 

11 

25 

2 

0 

3 

5 

7 

9 

10     10  1 

!  12 

2 

0 

2 

4 

5       6 

7 

7 

26 

1 

0 

2 

3 

4 

5 

6       6 

!  i'3 

1 

0 

+1 

+2 

+2   +3 

+3 

+3 

27 

1 

0 

—  1 

—  1 

—2 

-2 

—2   -2 

14   - 

fO.OOO 

0.0000 

0 

0 

-1  |-1 

—  1 

—  1 

28 

—0.000 

0.0000 

0 

+1    +1 

+2 

+2   +2 

c  jgh 

13h 

14" 

16h 

,7h 

I8h 

<  1211 

13h 

14h    15h 

161' 

]7h    I8h 

->24b 

23" 

22h 

21* 

19h 

18" 

jjtt  —  )  2411 

23h   22h   21h 

2011 

19b    18h 

Change  the  signs  of  A'/r  a  »'"'<!  A  *  a  when  a  ^>  J2U. 


SUPPLEMENTARY  TABLES. 


259 


TABLE  XXXIII.—  Terms  in  the  reduction  of  Mean  to  App't  Declinations  depending  on  2  <r  .  j 

A'^  =  —  0.0813  sin  2  ([  cos  a  +  0.0886  cos  2  (£  sin  a. 

Side  Arg.  =  Arg.  IV  (p.  34)  +  d'  +  day  of  year.     Hor.  Arg.  =  Star's  R.  Ascension, 

to 

u 

o 

» 

* 

3h 

4h 

* 

* 

7h 

» 

»        10 

ii* 

12* 

£ 

ti 

fc. 

d 

i,           n 

,/ 

n 

H                       11 

H 

« 

„ 

"             " 

n 

„ 

d 

0.0 

—000 

+0.02 

+0.04 

+0.06 

+0.08  +0.08 

+0.09 

+o.oa 

+0.08 

+0.06  +0.04 

+0.02 

+O.OC 

<  .1. 

0.5 

.02 

.CO 

.02 

. 

05 

.07 

.oe 

.09 

.09 

.08 

.07        .06 

.04 

02 

0.5 

l.C 

.04  —  .01 

+  .01 

. 

03 

.05 

.07 

.0» 

.09 

.09 

.pa     .07 

.0( 

.04 

l.C 

1.5 

.05 

.03 

—  .01 

+ 

01 

.03 

.05 

.07 

,08 

.09 

.08        .08 

.07 

.05 

1.5 

2.1 

.06 

.05 

.03 

—  . 

01 

+ 

.01 

.03 

.05 

.07 

.08 

.08 

.08 

.08 

.06 

2.0 

2.f 

.07 

.06 

.05 

. 

o:l 

— 

.01 

+ 

.02 

.04 

.05 

.07 

.08 

.08 

.08        .07 

2.r. 

3.1 

.08 

.07 

.06 

't 

04 

.03 

.00 

+ 

.02 

.04 

.05 

.07 

.08 

.08        .08 

3.0 

3.5 

.08 

.08 

.07 

05 

.04  — 

.02 

— 

.01 

+  .02 

.04 

.05 

.07 

.08;       .08 

3.5 

4.C 

•     .08 

.08 

.08 

, 

o7 

.06 

.04 

.02 

.00 

+  .02 

.04 

.06 

.0? 

M 

4.0 

4.5 

.07 

.08 

.08 

. 

06 

.08 

.06 

.05 

—  .02 

.00 

+  .02 

.04 

.06 

.07 

4.5 

5.C 

.06 

.07 

.08 

. 

06 

.06 

.07 

.06 

.04 

—  .02 

.00 

+  .02 

.04 

.06 

5.6 

5i 

.05 

.06 

.08 

•f 

08 

.09 

.06 

.07 

.06 

.04 

—  .02 

.00 

.05   5.5: 

(H 

.03 

.05 

.07 

. 

08 

.09 

.09 

.08 

.07 

.06 

.04 

—  .02 

+  .01 

.031  (5  0 

6.5 

—  .01 

.03 

.05 

07 

.08 

.09 

.09 

.08 

.07 

.05 

.03 

—  .0] 

+  .Ol!  6.5 

7.C 

+  .01 

—  .02 

.04 

06 

.07 

.08 

.09 

.09 

.08 

.07 

.05 

.01 

I  —  ,01    7.0 

7.5 

.02        .00 

—  .02 

: 

04 

.06 

.07 

.08 

.09 

.08 

.08 

.06 

.04 

.03 

7.5 

8.C 

.04  +  .02 

.00 

—  .02 

.04 

.06 

.08 

.08 

.09 

.08 

.07 

.oe 

i        .04 

8.6 

8.5 

.06 

.04 

+  .01 

. 

00 

— 

.03 

.05 

.06 

.08 

.(8 

.08 

.08 

.07 

.06 

85 

9.0 

.07        .05 

.03 

+  . 

01 

.01 

.03 

.05 

.06 

.08 

.08 

.08 

.0* 

$        .07 

9.0 

9.5 

.08        .07 

.05 

. 

03 

+ 

.01 

— 

.01 

.03 

.05 

.06 

.07 

.08 

»        .08 

9.5 

10.0 

.08        .08 

.06 

(.'5 

.09 

1 

.01 

_  . 

.01 

.03 

.05 

.06 

.07 

.« 

*        .08 

10.0 

10.5 

.08 

.08 

.07 

or. 

.05 

.03 

_i_ 

.01 

—  .01 

.03 

.05 

.06 

.07 

.08 

10.5 

11.0 

.08 

.08 

.08 

07 

.06 

.05 

.03 

+  .01 

—  .01 

.03 

.05 

.07 

!o8 

11.1 

11.5 

.07        .08 

.08 

L 

08 

.07 

.06 

.05 

.03 

+  .01 

—  .01        .04 

.Of 

»        .07 

11.  - 

12.0 

.06        .07 

.08 

. 

08 

.08 

.08 

.06 

.05 

.03  +  .01  —  .02 

.04 

.0(i 

12.  C 

12.5 

.04!       .06 

.07 

. 

06 

.09 

.08 

.08 

.06 

.05 

.021       .00 

—  .OS 

I        .04 

12.5 

13.  1 

+  .02        .05 

.06 

. 

08 

.09 

.09 

.08 

.08 

.06 

.04  +  .02 

.02 

13.0 

13.5 

.00        .03 

.05 

07 

.08 

.09 

.09 

.08 

.07 

.06        .04 

+  .OS 

>     !oo 

13.5 

14.0 

—0.01  +0.01 

+0.03 

+0.05 

+0.07 

+0.08 

+  0.09  +0.09 

+0.08 

+0.07  +0.05 

+0.0c 

,  +0.01 

14.  ( 

12"        13* 

14* 

15* 

16" 

17" 

I8h    i    19" 

20"       21^       22^ 

23h 

24h    i 

TABLE  XXXIV.—  Terms  in  the  reduction  of  Mean  to  App't  Declinations  dependingon  ([  —  r'. 

n 

A  c  d  =  +  0.0270  sin  «[  —  I")  cos  a. 

Side  Arg.  =  Arg.  V  (p.  34)  +  d'  +  day  of  year.     Hor.  Arg.  =  Star's  R.  Ascension. 

> 

s  °h 

Jh 

2b 

3h        4" 

5" 

(ih 

>        (    oh       1* 

2h 

3"        4h 

5h        6h 

ti 

2=}24h 

23h      22h 

19" 

18"  \ 

|  rjjR  23^ 

22" 

21"      20h 

19b       lbh 

d 

„ 

„ 

„ 

„ 

„ 

„ 

"    1 

d 

„ 

a          ,, 

a          n 

0 

+0.00 

+-J.OO 

+0.00 

+0.00 

+0.00 

+0.00 

0.00 

14      -0.00  -0.01 

-0.00 

-0.00  -0.00 

-0.00     0.00 

1 

.01 

.01 

.01 

.00 

.00 

.00 

.01        .01 

.01 

.00       .00 

.00       .00 

2 

.01 

.01 

.01 

.011      .01 

.00 

.OOi'  16 

.01        .01 

.01 

.01       .01 

.00       .00 

3 

.02 

.02 

.01 

.01 

.01 

.00 

.00     17 

.02       .02 

.02 

.01       .01 

.00       .00 

4 

.02 

.02 

.02 

.01 

.01 

.00 

.OO!    18 

.02       .02 

.02 

.02       .01 

.01       .00 

5 

.02 

.02 

.02 

.02 

.01 

.01 

.00!    19 

.02       M 

.02 

.02       .01 

.01       .00 

6 

.03 

.03       .02 

.02 

.01 

.01 

.00    20 

.03       .O'J 

.02 

.02      .01 

.01       .00 

7 

.03 

.03|      .02 

.02 

.01 

.01 

.00      01 

.03!      .03 

.02 

.02      .01 

-   .01       .00 

8 

.03 

.02       .02 

.02 

.01 

.01 

.00 

22 

.03J      .02 

.02 

.02       .01 

.01       .00 

9 

.02 

.02       .02 

.0<i 

.01 

.01 

.OOj 

23 

.0: 

>       .02 

.02 

.02      .01 

.01       .00 

10 

.02 

.02 

.02 

.01 

.01 

.00 

.00 

04 

.0: 

I       .02 

.02 

.01       .01 

.00       .00 

11 

.02 

.02      .01 

.01 

.0! 

.00 

.00 

25 

.0 

1        .01 

.01 

.01       .01 

.00       .00 

12 

.01 

.01       .01 

.01!      .01 

.00 

.00 

26 

.0 

1       .01 

.01 

.01       .00 

.00       .00 

!  13 

.01 

.00!      .00 

.00;         .00 

.00 

.00 

27 

.(X 

)       .(X* 

.00 

.00       .00 

.00       .00 

14 

+0.00 

+0.00  +0.00 

+0.00;  +9.00 

o.oo 

+0.00 

28!     -0.00  -0.00 

-0.00 

-0.00  -0.00  • 

-0.00     0.00 

"~ 

{  12" 

Hh      ]oh 

9* 

8" 

7" 

6" 

1Ch 

<)h      hh 

7h         6" 

a=<>  12" 

13U       14h 

15" 

16" 

17" 

18"  ; 

r*}  12^    i:jn-    14" 

15"       16h 

17"        18" 

Change  the  signs  in  these  two  tables  when  a  is  taken  at  the  bottom. 


200 


SUPPLEMENTARY  TABLES. 


TABLE  XXXV.— Arguments  of  small  terms  in  A  and  B. 


Arg.  IX  for  terms  in  2  T"  — 
Arg.  X  for  terms  in  I". 


Arg.  YI  for  terms  in  2  ©  —  &. 
Arg.  VII  for  terms  in  2  ©  —  2  &. 
Arg.  VIII  for  terms  in  2  ©  —  2  T'. 
For  Washington  Mean  Noon  of  Jan.  0  in  common  years,  Jan.  1  in  bissextile  years. 


Years. 

VI. 

VII. 

VIII. 

IX. 

X. 

Years. 

VI. 

VII. 

VIII. 

IX. 

X. 

d 

d 

d 

d 

d 

d 

d 

d 

d 

d 

1750 

138.4 

0 

125 

223 

3150 

1800 

82.5 

64 

63 

209 

2023 

1751 

147.7 

18 

78 

588 

284 

1801 

91.8 

83 

16 

574 

2388 

1752  B 

158.0 

38 

32 

954 

650 

1802 

101.1 

101 

175 

939 

2753 

1753 

167.3 

56 

192 

14 

1015 

1803 

110.4 

119 

128 

1304 

3118 

J754 

176.6 

74 

145 

379 

1380 

1804  B 

120.7 

139 

82 

364 

253 

1755 

8.1 

93 

98 

744 

1745 

1805 

130.1 

157 

36 

729 

*  618 

1756  B 

18.4 

112 

52 

1110 

2111 

1806 

139.4 

2 

195 

1094 

983 

]757 

27.7 

131 

5 

169 

2476 

1807 

148.7 

21 

148 

154 

1348 

1758 

37.1 

149 

165 

534 

2841 

1808  B 

159.0 

40 

102 

520 

1714 

1759 

46.4 

167 

118 

899 

3206 

1809 

168.3 

58 

55 

885 

2079 

!7(i<)  B 

56.7 

13 

72 

1265 

340 

1810 

177.6 

77 

8 

1250 

2444 

1761 

66.0 

32 

25 

325 

705 

1811 

9.1 

95 

168 

309 

2809 

1762 

75.3 

50 

184 

690 

1070 

1812  B 

19.4 

115 

122 

675 

3175 

1763 

84.6 

69 

137 

1055 

1435 

1813 

28.7 

133 

75 

1040 

309 

jVu4  B 

94.9 

88 

92 

115 

1801 

1814 

38.0 

151 

28 

100 

674 

1765 

104.2 

106 

45 

480 

2166 

1815 

47.3 

170 

187 

465 

1039 

1766 

113.6 

125 

204 

845 

2531 

1816  B 

57.6 

16 

142 

831 

1405 

1767 

122.9 

143 

157 

1210 

2896 

1817 

67.0 

34 

95 

1196 

1770 

l?6rf  1) 

13J.2 

162 

111 

271 

31 

1818 

76.3 

53 

48 

255 

2135  j 

1769 

142.5 

8 

65 

G36 

396 

1819 

85.6 

71 

1 

620 

2500 

1770 

151.8 

26 

18 

1001 

761 

1820  B 

95.9 

90 

161 

986 

2866 

1771 

161:1 

44 

177 

61 

1126 

1821 

105.2 

109 

115 

46 

3231  ! 

1772  B 

171.4 

64 

131 

427 

1492 

1822 

114.5 

127 

68 

411 

364 

1773 

2.9 

82 

84 

792 

1857 

1823 

123.8 

145 

21 

776 

729 

1774 

12.2 

100 

38 

1157 

2222 

1824  B 

134.1 

165 

181 

1142 

1095 

1775 

21.5 

119 

197 

216 

2587 

1825 

143.5 

10 

134 

202 

1460 

1776  B 

31.8 

138 

151 

582 

2953 

1826 

152.8 

28 

88 

567 

1825 

1777 

41.1 

157 

104 

947 

86 

1827 

162.1 

47 

41 

932 

2190 

1778 

50.5 

2 

57 

7 

451 

1828  B 

172.4 

66 

201 

1298 

2556 

1779 

59.8 

20 

Jl 

372 

816 

1829 

3.9 

84 

154 

357 

2921 

1780  B 

70  1 

39 

171 

738 

1182 

1830 

13.2 

103 

107 

722 

55 

1781 

79.4 

58 

124 

1103 

1547 

1831 

22.5 

121 

60 

1087 

420 

1782 

88.7 

76 

77 

162 

1912 

1832  B 

32.8 

141 

15 

148 

786 

1783 

98.0 

95 

30 

527 

2277 

1833 

42.1 

159 

174 

513 

1151 

1784  B 

108.3 

114 

190 

893 

2643 

1834 

51.4 

4 

127 

878 

1516 

1785 

117.6 

132 

144 

1258 

3008 

1835 

60.7 

22 

80 

1243 

1881 

1786 

127.0 

151 

97 

318 

142 

1836  B 

71.0 

42 

34 

303 

2247 

1787 

136.3 

169 

50 

683 

507 

1837 

80.4 

60 

194 

668 

2612 

1788  B 

146.6 

15 

4 

1049 

873 

1838 

89.7 

79 

147 

1033 

2977 

1789 

155.9 

33 

163 

108 

1238 

1839 

99.0 

97 

100 

93 

110 

I 

1790 

165.2 

52 

117 

473 

1603 

1840  B 

109.3   116 

54 

459 

476 

1791 

174.5 

70 

70 

838 

1968 

1841 

118.6 

135 

7 

824 

841 

1792  B 

7.0 

90 

24 

1204 

2334 

1842 

127.9 

153 

167 

1189 

1206 

1793 

16.3 

108 

183 

264 

2699 

1843 

137.2 

171 

120 

248 

1571 

1794 

25.6 

126 

136 

629 

3064 

1844  B 

147.5 

18 

74 

614 

1937 

1795 

34.9 

145 

90 

994 

197 

1845 

156.9 

36 

27 

979 

2302 

1796  B 

45.2 

164 

44 

54 

563 

J846 

166.2 

54 

186 

39 

2667 

1797 

54.6 

<J 

203 

419 

928 

1847 

175.5 

73 

139 

404 

3032 

1798 

63.9 

28   156 

784 

1293 

1848  B 

8.0 

92  j   94    770 

167 

1799 

73.2 

46  i  109 

1149 

1658 

1849 

17.3   110  !   47   Ji:i5 

532 

1800 

82.5 

64  i   63 

209 

2023 

J8:,o 

26  6   J29     0    I'J4    897 

SUPPLEMENTARY  TABLES. 


261 


TABLE  XXXV.—  Arguments  of  small  terms  in  A  and  B. 

For  Washington  Mean  Noon  of  Jan.  0  in  common  years,  Jan.  1  in  bissextile  years. 
Arg.  for  the  Inequalities  =  Arg.  I  4-  Ineq's  4-  d'  4-  day  of  year. 

Years. 

VI. 

VII. 

vm. 

IX. 

X. 

Arg.  I 
+  d' 
+  day. 

Inequalities  of  Arguments. 

Periods 
and  Multiples. 

1850 
1851 
1852  B 
1853 
1854 

1855* 
1856  B 

1857 
1858 
1859 

1860  B 
1861 
1862 
1863 
1864  B 

1865 
1866 

1867 
1868  B 
1869 

1870 
1871 
1872  B 
1873 
1874 

1875 
1876  B 

1877 
1878 
1879 

18^0  B 
1881 
1882 
1883 
1884  B 

1885 
1886 
1887 
1888  B 
1889 

1890 
1891 
1892  B 
1893 

1894 

1895 
1896  B 
1897 

1898 
1899 
1900 

26JS 
35.9 
46.2 
55.5 

64.8 

74.1 

84.5 
93.8 
103.1 
112.4 

122.7 
132.0 
141.3 
150.6 
161.0 

170.3 
1.7 
11.0 
21.4 
30.7 

40.0 
49.3 
59.6 
68.9 

78.2 

87.5 
97.9 
107.2 
116.5 
125.8 

136.1 
145.4 
154.7 
164.0 
174.4 

5.8 
15.1 
24.4 
34.8 
44.1 

53.4 

62.7 
73.0 
82.3 
91.6 

100.9 
111.3 
120.6 
129.9 
139.2 
148.5 

d 
129 
147 
167 
12 
30 

48 
68 
86 
105 
123 

142 
161 
6 
24 
43 

62 
80 
99 
118 
136 

155 
0 
19 

38 
56 

74 
94 
112 
131 
149 

168 
13 
32 

50 
69 

88 
106 
125 
144 
162 

7 
26 
45 
64 

82 

100 
120 
138 
156 
2 
20 

d 
0 
159 
113 
67 
20 

179 
133 

86 
40 
199 

153 
106 
59 
13 
173 

126 
79 
32 
192 
146 

99 
52 
6 
165 
119 

72 
26 
185 

138 
92 

46 
205 
158 
111 
66 

19 

178 
131 
85 
:>9 

198 
151 
105 
58 
11 

171 
125 

78 
31 
190 
144 

d 
194 
559 
925 
1290 
350 

715 
1081 
140 
505 

870 

1236 
2% 
661 
1026 
86 

451 
816 
1181 
242 

607 

972 
31 
397 
762 
1127 

187 
553 
918 
1283 
343 

709 
1074 
133 

498 
864 

1229 

289 
654 
1020 
79 

444 

809 
1175 
235 
600 

965 
25 
390 
755 
1120 
180 

d 
897 
1262 
1628 
1993 
2358 

2723 
3089 
222 

587 
952 

1318 
1683 
2048 
2413 
2779 

3144 

278 
643 
1009 
1374 

1739 
2104 
2470 
2835 
3200 

333 
699 
1064 
1429 
1794 

2160 
2525 
2890 
24 
390 

755 
1120 
1485 
l^f>1 
2216 

2581 
2946 
80 
445 
810 

1175 
1541 

1906 
2271 
2636 
3001 

VI. 

VII. 

VIIL 

d 
0 
10 
20 
30 
40 

50 
60 
70 
80 
90 

100 
110 
120 
130 
140 

150 
160 
170 
180 
190 

200 
210 
220 
230 
240 

250 
260 
270 
280 
290 

300 
310 
320 
330 
340 

350 
360 
370 

d 
0.0 
4-0.3 
0.6 
0.9 
1.2 

.4 
.6 

.8 
.9 
.9 

1.9 
1.8 
1.7 
1.5 
1.3 

l.l 

0.8 
0.5 

4-0.2 

—O.I 

0.5 
0.8 
1.0 
1.3 
1.5 

1.7 
1.8 
1.9 
1.9 
1.8 

1.7 
1.6 

1.4 
1.1 

0.8 

0.5 
—0.2 
40.1 

d 
0 
0 

+J 

1 

2 
2 
2 
2 

2 
2 
2 
2 
1 

1 

+J 

0 
0 

0 

1 
1 
1 

2 
2 
2 
2 
2 

2 
2 
1 

1 

—1 

0 
0 

d 

0 
0 

+i 

1 

2 
2 
2 
2 
2 

2 

Of  Arg.  VI. 

d 
1   177.8 
2   355.7 
3   533.5 

Of  Arg.  VH. 
d 
1    173 
2   347 
3   520 

2 
2 
2 
2 

1 

Of  Arg.  VIIL 
d 
1    206 
2   412 

1 

-H 

0 
0 

Of  Arg.  IX. 
d 
1   1305 

—1 
1 
1 
1 

2 

Of  Arg.  X. 

1   3231d 

2 
2 
2 
2 

2 

2 
2 
2 
1 
1 

—1 

0 
0 

262 


SUPPLEMENTARY  TABLES. 


TABLE  XXXVI.-Small  terms  in  A  and  B. 

In  units  of  ihejifth  decimal  place  for  A,  and  of  the  fourth  for  B. 

Arguments  =  Arg's  of  Tables  VI  and  XXXV  +  inequalities  +  d'  +  day  of  year. 

I. 

VI. 

VII. 

VIII. 

A  vrr 

I. 

A  _,- 

IX. 

A  *.«. 

X. 

Arg. 

A 

B 

A 

B 

A 

A 

Arg. 

A 

B 

Arg. 

A 

B 

Arg. 

A 

B 

d 

d 

d 

d 

0 

+  3 

+26 

0 

+67 

0 

0 

215 

—10 

+  8 

0 

0 

+24 

0 

+  5 

+  8 

5 

6 

23 

+  4 

66 

—  1 

+  2 

220 

9 

15 

50 

+  2 

23 

100 

6 

+  3 

10 

8 

19 

9 

63 

2 

3 

225 

7 

20 

100 

4 

21 

200 

7 

—  3 

15 

10 

13 

13 

58 

3 

4 

230 

5 

24 

150 

6 

18 

300 

8 

10 

20 

11 

-f  6 

16 

51 

3 

6 

235 

—  3 

26 

200 

7 

14 

400 

8« 

16 

25 

11 

0 

19 

43 

4 

7 

240 

0 

27 

250 

8 

9 

500 

7 

22 

30 

11 

—  8 

22 

33 

4 

8 

245 

+  3 

26 

300 

9 

+  3 

600 

5 

27 

35 

9 

14 

24 

22 

5 

9 

250 

5 

24 

350 

9 

—  3 

700 

+  2 

30 

40 

7 

20 

25 

+10 

5 

9 

255 

8 

19 

400 

8 

8 

800 

0 

31 

45 

5 

24 

25 

5 

10 

260 

9 

14 

450 

7 

13 

900 

—  2 

30 

50 

+  2 

26 

25 

13 

5 

10 

265 

10 

8 

500 

6 

18 

1000 

4 

28 

55 

0 

27 

23 

24 

5 

10 

270 

11 

+  1 

550 

4 

21 

1100 

—  6 

23 

60 

3 

26 

21 

35 

4 

10 

275 

11 

-6 

600' 

+  2 

23 

1200 

7 

17 

65 

6 

23 

19 

44 

4 

9 

280 

10 

12 

650 

0 

24 

1300 

8 

11 

70 

8 

18 

16 

53 

3 

8 

285 

8 

18 

700 

—  2 

23 

1400 

7 

—  4 

75 

10 

12 

12 

59 

2 

8 

290 

6 

•23 

750 

4 

21 

1500 

6 

+  2 

80 

11 

—  6 

8 

64 

—  1 

6 

295 

3 

26 

800 

6 

18 

1600 

5 

85 

11 

+  1 

+  3 

66 

0 

5 

300 

+  1 

27 

a5o 

7 

13 

1700 

4 

12 

90 

10 

8 

67 

+  1 

4 

305 

—  2 

26 

900 

8 

8 

1800 

2 

14 

95 

9 

14 

5 

65 

1 

2 

310 

5 

24 

950 

9 

—  3 

1900 

—  1 

16 

100 

7 

20 

10 

62 

2 

+  1 

315 

7 

20 

1000 

9 

+  3 

2000 

0 

16 

105 

5 

24 

13 

56 

3 

—  1 

320 

9 

15 

1050 

8 

9 

2100 

+  1 

16 

110 

—  3 

26 

17 

49 

4 

2 

325 

10 

8 

1100 

7 

14 

2200  ;+  i 

16 

115 

0 

27 

20 

40 

4 

4 

330 

11 

—  1 

1150 

6 

18 

2300  i   0 

15 

120 

+  3 

26 

22 

30 

5 

5 

335 

11 

+  6 

1200 

4 

21 

2400 

0 

15 

125 

5 

23 

24 

20 

5 

6 

340 

10 

13 

1250 

g 

23 

2500 

0 

15 

130 

8 

19 

25 

—  8 

5 

7 

345 

8 

18 

1300 

0 

24 

2600 

—  1 

16 

135 

9 

14 

25 

+  4 

5 

8 

350 

6 

.23 

1350 

+  2 

+23 

2700 

1 

16 

140 

10 

8 

24 

15 

5 

9 

355 

—  3 

26 

2800 

—  1 

ID 

145 

11 

-1-  1 

23 

27 

4 

10 

360 

0 

27 

2900 

0 

16 

150 

11 

—  6 

21 

37 

4 

10 

365 

+  3 

26 

3000 

+  1 

15 

155 

10 

12 

18 

46 

3 

10 

370 

5 

23 

3100 

3 

13 

160 

8 

18 

15 

54 

2 

10 

375 

8 

19 

3200 

5 

10 

165 

6 

22 

11 

60 

1 

9 

380 

+10 

+13 

3300 

+  6 

+  5 

170 

4 

25 

7 

64 

+  1 

9 

175 

+  1 

27 

—  3 

67 

0 

8 

180 

—  1 

27 

+  2 

67 

—  1 

7 

185 

4 

25 

6 

65 

2 

6 

'  190 

6 

22 

11 

61 

3 

5 

195 

8 

17 

14 

55 

4 

3 

200 

10 

11 

17 

47 

4 

—  2 

205 

11 

—  5 

20 

39 

5 

0 

210 

—11 

+  2 

+23 

+28 

—  5 

H-  1 

• 

THIS 

OVERDUE. 

J 


UNIVERSITY  OF  CALIFORNIA  LIBRARY 


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